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Journal articles on the topic 'Domain decomposition technique'

Author: Grafiati

Published: 5 June 2025

Last updated: 24 June 2025

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1

Leumüller, Michael, Karl Hollaus, and Joachim Schöberl. "Domain decomposition and upscaling technique for metascreens." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 41, no. 3 (2022): 938–53. http://dx.doi.org/10.1108/compel-03-2021-0073.

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Purpose This paper aims to consider a multiscale electromagnetic wave problem for a housing with a ventilation grill. Using the standard finite element method to discretise the apertures leads to an unduly large number of unknowns. An efficient approach to simulate the multiple scales is introduced. The aim is to significantly reduce the computational costs. Design/methodology/approach A domain decomposition technique with upscaling is applied to cope with the different scales. The idea is to split the domain of computation into an exterior domain and multiple non-overlapping sub-domains. Each sub-domain represents a single aperture and uses the same finite element mesh. The identical mesh of the sub-domains is efficiently exploited by the hybrid discontinuous Galerkin method and a Schur complement which facilitates the transition from fine meshes in the sub-domains to a coarse mesh in the exterior domain. A coarse skeleton grid is used on the interface between the exterior domain and the individual sub-domains to avoid large dense blocks in the finite element discretisation matrix. Findings Applying a Schur complement to the identical discretisation of the sub-domains leads to a method that scales very well with respect to the number of apertures. Originality/value The error compared to the standard finite element method is negligible and the computational costs are significantly reduced.

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2

Arina, Renzo, and Marco Falossi. "Domain decomposition technique for aeroacoustic simulations." Applied Numerical Mathematics 49, no. 3-4 (2004): 263–75. http://dx.doi.org/10.1016/j.apnum.2003.12.006.

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3

Chan, Tony F. C., and Tarek P. Mathew. "The Interface Probing Technique in Domain Decomposition." SIAM Journal on Matrix Analysis and Applications 13, no. 1 (1992): 212–38. http://dx.doi.org/10.1137/0613018.

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4

GUO, ZHAOLI, CHUGUANG ZHENG, and BAOCHANG SHI. "DOMAIN-DECOMPOSITION TECHNIQUE IN LATTICE BOLTZMANN METHOD." International Journal of Modern Physics B 17, no. 01n02 (2003): 129–33. http://dx.doi.org/10.1142/s0217979203017205.

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In this paper a domain-decomposition technique is proposed in the framework of the lattice Boltzmann method in order to handle flows in irregular geometries. The 2D flow in a channel with a square or slant branch cavity is simulated based on this technique.

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Bramble, James H., and Joseph E. Pasciak. "A domain decomposition technique for stokes problems." Applied Numerical Mathematics 6, no. 4 (1990): 251–61. http://dx.doi.org/10.1016/0168-9274(90)90019-c.

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6

Agbehadji, Israel Edem, Richard C. Millham, Emmanuel Freeman, Wanqing Wu, and Xianbin Zhang. "Fused Multi-Domains and Adaptive Variational Mode Decomposition ECG Feature Extraction for Lightweight Bio-Inspired Key Generation and Encryption." Sensors 24, no. 24 (2024): 7926. https://doi.org/10.3390/s24247926.

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Security is one of the increasingly significant issues given advancements in technology that harness data from multiple devices such as the internet of medical devices. While protecting data from unauthorized user access, several techniques are used including fingerprints, passwords, and others. One of the techniques that has attracted much attention is the use of human features, which has proven to be most effective because of the difficulties in impersonating human-related features. An example of a human-related attribute includes the electrical signal generated from the heart, mostly referred to as an Electrocardiogram (ECG) signal. The methods to extract features from ECG signals are time domain-based; however, the challenge with relying only on the time-domain or frequency-domain method is the inability to capture the intra-leading relationship of Variational Mode Decomposition signals. In this research, fusing multiple domains ECG feature and adaptive Variational Mode Decomposition approaches are utilized to mitigate the challenge of losing the intra-leading correlations of mode decompositions, which might reduce the robustness of encryption algorithms. The features extracted using the reconstructed signal have a mean (0.0004), standard deviation (0.0391), skewness (0.1562), and kurtosis (1.2205). Among the lightweight encryption methods considered, Chacha20 has a total execution time of 27µs. The study proposes a lightweight encryption technique based on the fused vector representation of extracted features to provide an encryption scheme in addition to a bio-inspired key generation technique for data encryption.

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Osorio, Luana Nobre, Bruno Pereira-Dias, André Bulcão, and Luiz Landau. "Migration deconvolution using domain decomposition." GEOPHYSICS 86, no. 3 (2021): S247—S256. http://dx.doi.org/10.1190/geo2020-0352.1.

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Least-squares migration (LSM) is an effective technique for mitigating blurring effects and migration artifacts generated by limited data frequency bandwidth, incomplete coverage of geometry, source signature, and unbalanced amplitudes caused by complex wavefield propagation in the subsurface. Migration deconvolution (MD) is an image-domain approach for LSM that approximates the Hessian operator using a set of precomputed point spread functions. We have developed a new workflow by integrating the MD and domain decomposition (DD) methods. DD techniques aim to solve large and complex linear systems by splitting problems into smaller parts, facilitating parallel computing, and providing a higher convergence in iterative algorithms. We suggest that instead of solving the problem in a unique domain, as conventionally performed, splitting the problem into subdomains that overlap and solve each of them independently. We accelerate the convergence rate of the conjugate-gradient solver by applying the DD methods to retrieve better reflectivity, which is mainly visible in regions with low amplitudes. Moreover, using the pseudo-Hessian operator, the convergence of the algorithm is accelerated, suggesting that the inverse problem becomes better conditioned. Experiments using the synthetic Pluto model demonstrate that our algorithm dramatically reduces the required number of iterations while providing a considerable enhancement in image resolution and better continuity of poorly illuminated events.

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SUZUKI, Yoshiro. "A domain decomposition technique based on the multiscale seamless-domain method." Mechanical Engineering Journal 4, no. 4 (2017): 17–00145. http://dx.doi.org/10.1299/mej.17-00145.

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9

Agoshkov, V. I. "New Technique for Formulation of Domain Decomposition Algorithms." Computational Mathematics and Mathematical Physics 60, no. 3 (2020): 353–69. http://dx.doi.org/10.1134/s0965542520030021.

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10

Delgado, Carlos, Eliseo García, and Felipe Cátedra. "Fast Hybrid Computational Technique for the Analysis of Radome Structures Using Dual Domain Decomposition." Electronics 10, no. 18 (2021): 2196. http://dx.doi.org/10.3390/electronics10182196.

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This work details a technique tailored to the analysis of complex radome structures based on the non-overlapping separation of two different domains: antenna and radome. Both domains are analyzed isolated using the method of moments with the multilevel fast multipole algorithm (MoM-MLFMA) for the antenna domain and a modified characteristic basis function method with the multilevel fast multipole algorithm approach for the radome domain. An iterative procedure is then applied to compute the effect of each domain over the complementary domain. This approach usually converges into a few iterations, yielding very good results and significant efficiency improvements with respect to other efficient approaches such as a full-wave MoM-MLFMA analysis of the full problem. A realistic test case is included, considering a radome with an embedded frequency selective structure on one of its interfaces. The results show a very good agreement considering only three iterations between domains, requiring only one-third of the CPU-time needed by the conventional approach.

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Hemeda, Ahmed A., and Basman Elhadidi. "Domain Decomposition Technique for Solution of Acoustic Wave Scattering." AIAA Journal 52, no. 2 (2014): 408–18. http://dx.doi.org/10.2514/1.j052545.

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12

Ålund, Oskar, and Jan Nordström. "A Stable Domain Decomposition Technique for Advection–Diffusion Problems." Journal of Scientific Computing 77, no. 2 (2018): 755–74. http://dx.doi.org/10.1007/s10915-018-0722-x.

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Alves, Carlos J. S., and Vitor M. A. Leitão. "Crack analysis using an enriched MFS domain decomposition technique." Engineering Analysis with Boundary Elements 30, no. 3 (2006): 160–66. http://dx.doi.org/10.1016/j.enganabound.2005.08.012.

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Du, Liangliang, Xionghua Wu, and Weibin Kong. "Boundary reduction technique and rational Sinc domain decomposition method." Engineering Analysis with Boundary Elements 36, no. 9 (2012): 1353–60. http://dx.doi.org/10.1016/j.enganabound.2012.03.004.

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15

Ma, Jun, and Jie Ge. "Ambient Vibration Test of a 18-Story Reinforced Concrete Building." E3S Web of Conferences 53 (2018): 03077. http://dx.doi.org/10.1051/e3sconf/20185303077.

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Ambient vibration analysis of a 18-story reinforced concrete building was carried out to investigate its dynamic properties. Ambient vibration test was conducted on the building, and modal parameters including natural frequencies and damping ratios were identified using the Frequency domain decomposition (FDD) method and the Enhanced frequency domain decomposition (EFDD) method. The results demonstrate that ambient vibration test is a feasible and efficient technique to excite structures, and that FDD and EFDD methods are reliable and efficient techniques for ambient vibration data.

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Rim, Myong-Gil, and Chol-Guk Choe. "Monotone domain decomposition iterative technique for boundary value problems of a nonlinear fractional differential equation." Asian-European Journal of Mathematics 12, no. 01 (2019): 1950011. http://dx.doi.org/10.1142/s1793557119500116.

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In this paper, we present a monotone domain decomposition iterative technique for boundary value problems of a nonlinear fractional differential equation. We construct two monotone domain decomposition sequences of upper and lower solutions which converge uniformly to the actual solution of the problem. The accuracy and efficiency of our new approach are demonstrated through two examples.

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Zhou, Zhongguo, and Dong Liang. "The Mass-Preserving S-DDM Scheme for Two-Dimensional Parabolic Equations." Communications in Computational Physics 19, no. 2 (2016): 411–41. http://dx.doi.org/10.4208/cicp.070814.190615a.

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AbstractIn the paper, we develop and analyze a new mass-preserving splitting domain decomposition method over multiple sub-domains for solving parabolic equations. The domain is divided into non-overlapping multi-bock sub-domains. On the interfaces of sub-domains, the interface fluxes are computed by the semi-implicit (explicit) flux scheme. The solutions and fluxes in the interiors of sub-domains are computed by the splitting one-dimensional implicit solution-flux coupled scheme. The important feature is that the proposed scheme is mass conservative over multiple non-overlapping sub-domains. Analyzing the mass-preserving S-DDM scheme is difficult over non-overlapping multi-block sub-domains due to the combination of the splitting technique and the domain decomposition at each time step. We prove theoretically that our scheme satisfies conservation of mass over multi-block non-overlapping sub-domains and it is unconditionally stable. We further prove the convergence and obtain the error estimate in L2-norm. Numerical experiments confirm theoretical results.

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18

Xu, Bo-Ao, Yan-Tao Duan, Bin Chen, Yun Yi, and Kang Luo. "A New Efficient Algorithm for the 2D WLP-FDTD Method Based on Domain Decomposition Technique." International Journal of Antennas and Propagation 2016 (2016): 1–6. http://dx.doi.org/10.1155/2016/3163781.

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This letter introduces a new efficient algorithm for the two-dimensional weighted Laguerre polynomials finite difference time-domain (WLP-FDTD) method based on domain decomposition scheme. By using the domain decomposition finite difference technique, the whole computational domain is decomposed into several subdomains. The conventional WLP-FDTD and the efficient WLP-FDTD methods are, respectively, used to eliminate the splitting error and speed up the calculation in different subdomains. A joint calculation scheme is presented to reduce the amount of calculation. Through our work, the iteration is not essential to obtain the accurate results. Numerical example indicates that the efficiency and accuracy are improved compared with the efficient WLP-FDTD method.

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Nanjo, Takao, Naoki Sugano, and Etsujiro Imanishi. "56492 FAST SIMULATION OF FLEXIBLE MULTIBODY DYNAMICS USING IMPROVED DOMAIN DECOMPOSITION TECHNIQUE(High Performance Formalisms and Computation)." Proceedings of the Asian Conference on Multibody Dynamics 2010.5 (2010): _56492–1_—_56492–8_. http://dx.doi.org/10.1299/jsmeacmd.2010.5._56492-1_.

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Louchart, Olivier, Anthony Randriamampianina, and Eddie Leonardi. "SPECTRAL DOMAIN DECOMPOSITION TECHNIQUE FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS." Numerical Heat Transfer, Part A: Applications 34, no. 5 (1998): 495–518. http://dx.doi.org/10.1080/10407789808914000.

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IMANISHI, Etsujiro, Takao NANJO, Eiko HIROOKA, and Naoki SUGANO. "Fast Simulation on Flexible Multibody Dynamics Using Domain Decomposition Technique." Journal of System Design and Dynamics 1, no. 3 (2007): 387–97. http://dx.doi.org/10.1299/jsdd.1.387.

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22

Lim, Wei Xian, Wai Lee Chan, and Basman Elhadidi. "A domain decomposition technique for acoustic wave interactions and scattering." Computers & Mathematics with Applications 152 (December 2023): 129–42. http://dx.doi.org/10.1016/j.camwa.2023.10.009.

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Laviada, Jaime, Marcos R. Pino, and Fernando Las-Heras. "Domain decomposition technique based on equivalent currents for moments method." Microwave and Optical Technology Letters 50, no. 1 (2007): 172–76. http://dx.doi.org/10.1002/mop.23034.

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Singh, Juhi, and Mukesh Singla. "Image Steganography Technique based on Singular Value Decomposition and Discrete Wavelet Transform." International Journal of Electrical and Electronics Research 10, no. 2 (2022): 122–25. http://dx.doi.org/10.37391/ijeer.100212.

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Steganography is a technique of hiding information in digital media. In recent years plenty of work has been done in this domain, and the work can be compared on various parameters such as high robustness and large capacity to achieve a goal. This paper proposed the method of steganography in digital media using Singular Value Decomposition (SVD) and Discrete Wavelet Transform (DWT). The DWT is a frequency-domain technique comprising DWT which comparatively offers better robustness and high PSNR value of stego image over other techniques. The proposed method works well for information hiding against AWGN (additive white Gaussian noise) attack and fulfills the objective to achieve high robustness and high PSNR.

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VABISHCHEVICH, P. N. "Domain Decomposition Methods With Overlapping Subdomains For The Time-Dependent Problems Of Mathematical Physics." Computational Methods in Applied Mathematics 8, no. 4 (2008): 393–405. http://dx.doi.org/10.2478/cmam-2008-0029.

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AbstractAt the present time, the domain decomposition methods are considered as the most promising ones for parallel computer systems. Nowadays success is attained mainly in solving approximately the classical boundary value problems for second-order elliptic equations. As for the time-dependent problems of mathematical physics, there are, in common use, approaches based on ordinary implicit schemes and implemented via iterative methods of the domain decomposition. An alternative technique is based on the non-iterative schemes (region-additive schemes). On the basis of the general theory of additive schemes a wide class of difference schemes (alternative directions, locally one-dimensional, factorized schemes, summarized approximation schemes, vec-tor additive schemes, etc.) as applied to the domain decomposition technique for time-dependent problems with synchronous and asynchronous implementations has been investigated. For nonstationary problems with self-adjoint operators, we have considered three dif-ferent types of decomposition operators corresponding to the Dirichlet and Neumann conditions on the subdomain boundaries. General stability conditions have been obtained for the region-additive schemes. We focused on the accuracy of domain decom-position schemes. In particular, the dependence of the convergence rate on the width of subdomain overlapping has been investigated as the primary property. In the present paper, new classes of domain decomposition schemes for nonstationary problems, based on the subdomain overlaping and minimal data exchange in solving problems in subdomains, have been constructed.

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Al-Asad, Jawad F., Hiren K. Mewada, Adil H. Khan, Nidal Abu-Libdeh, and Jamal F. Nayfeh. "Frequency domain despeckling technique for medical ultrasound images." Journal of Electrical Engineering 72, no. 4 (2021): 229–39. http://dx.doi.org/10.2478/jee-2021-0032.

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Abstract This work proposes a novel frequency domain despeckling technique pertaining to the enhancement of the quality of medical ultrasound images. The results of the proposed method have been validated in comparison to both the time-domain and the frequency-domain projections of the schur decomposition as well as with several other benchmark schemes such as frost, lee, probabilistic non-local means (PNLM) and total variation filtering (TVF). The proposed algorithm has shown significant improvements in edge detection and signal to noise ratio (SNR) levels when compared with the performance of the other techniques. Both real and simulated medical ultrasound images have been used to evaluate the numerical and visual effects of each algorithm used in this work.

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Boubendir, Yassine. "About coupling of domain decomposition methods to a boundary element technique." International Journal of Applied Electromagnetics and Mechanics 19, no. 1-4 (2004): 9–13. http://dx.doi.org/10.3233/jae-2004-527.

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IMANISHI, Etsujiro, Takao NANJYO, Eiko HIROKA, and Naoki SUGANO. "429 Fast Simulation on Flexible Multibody Dynamics Using Domain Decomposition Technique." Proceedings of the Dynamics & Design Conference 2005 (2005): _429–1_—_429–6_. http://dx.doi.org/10.1299/jsmedmc.2005._429-1_.

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Delgado, Carlos, Josefa Gómez, Abdelhamid Tayebi, Iván González, and Felipe Cátedra. "Analysis of a Reflectarray by Using an Iterative Domain Decomposition Technique." International Journal of Antennas and Propagation 2012 (2012): 1–8. http://dx.doi.org/10.1155/2012/139146.

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We present an efficient method for the analysis of different objects that may contain a complex feeding system and a reflector structure. The approach is based on a domain decomposition technique that divides the geometry into several parts to minimize the vast computational resources required when applying a full wave method. This technique is also parallelized by using the Message Passing Interface to minimize the memory and time requirements of the simulation. A reflectarray analysis serves as an example of the proposed approach.

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Křížková, Jitka, and Petr Vaněk. "Domain decomposition like technique with H/h-independent rate of convergence." Journal of Computational and Applied Mathematics 63, no. 1-3 (1995): 215–20. http://dx.doi.org/10.1016/0377-0427(95)00074-7.

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Ahn, Kyung H., and Dale A. Hopkins. "A generalized domain decomposition technique for mixed-iterative finite element formulation." Computing Systems in Engineering 5, no. 4-6 (1994): 351–61. http://dx.doi.org/10.1016/0956-0521(94)90017-5.

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Wu, Changhui, and Song Wang. "Domain decomposition technique for the continuity equations of semiconductor device models." Journal of Computational and Applied Mathematics 28 (December 1989): 403–12. http://dx.doi.org/10.1016/0377-0427(89)90351-8.

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33

Sundar, K. Joseph Abraham, V. Vaithiyanathan, M. Manickavasagam, and A. K. Sarkar. "Enhanced Singular Value Decomposition based Fusion for Super Resolution Image Reconstruction." Defence Science Journal 65, no. 6 (2015): 459. http://dx.doi.org/10.14429/dsj.65.8336.

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<p>The singular value decomposition (SVD) plays a very important role in the field of image processing for applications such as feature extraction, image compression, etc. The main objective is to enhance the resolution of the image based on Singular Value Decomposition. The original image and the subsequent sub-pixel shifted image, subjected to image registration is transferred to SVD domain. An enhanced method of choosing the singular values from the SVD domain images to reconstruct a high resolution image using fusion techniques is proposesed. This technique is called as enhanced SVD based fusion. Significant improvement in the performance is observed by applying enhanced SVD method preceding the various interpolation methods which are incorporated. The technique has high advantage and computationally fast which is most needed for satellite imaging, high definition television broadcasting, medical imaging diagnosis, military surveillance, remote sensing etc.</p>

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Deng, Hao, Jiaxin Li, Jixian Huang, et al. "Dual Domain Decomposition Method for High-Resolution 3D Simulation of Groundwater Flow and Transport." Water 16, no. 13 (2024): 1864. http://dx.doi.org/10.3390/w16131864.

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The high-resolution 3D groundwater flow and transport simulation problem requires massive discrete linear systems to be solved, leading to significant computational time and memory requirements. The domain decomposition method is a promising technique that facilitates the parallelization of problems with minimal communication overhead by dividing the computation domain into multiple subdomains. However, directly utilizing a domain decomposition scheme to solve massive linear systems becomes impractical due to the bottleneck in algebraic operations required to coordinate the results of subdomains. In this paper, we propose a two-level domain decomposition method, named dual-domain decomposition, to efficiently solve the massive discrete linear systems in high-resolution 3D groundwater simulations. The first level of domain decomposition partitions the linear system problem into independent linear sub-problems across multiple subdomains, enabling parallel solutions with significantly reduced complexity. The second level introduces a domain decomposition preconditioner to solve the linear system, known as the Schur system, used to coordinate results from subdomains across their boundaries. This additional level of decomposition parallelizes the preconditioning of the Schur system, addressing the bottleneck of the Schur system solution while improving its convergence rates. The dual-domain decomposition method facilitates the partition and distribution of the computation to be solved into independent finely grained computational subdomains, substantially reducing both computational and memory complexity. We demonstrate the scalability of our proposed method through its application to a high-resolution 3D simulation of chromium contaminant transport in groundwater. Our results indicate that our method outperforms both the vanilla domain decomposition method and the algebraic multigrid preconditioned method in terms of runtime, achieving up to 8.617× and 5.515× speedups, respectively, in solving massive problems with approximately 108 million degrees of freedom. Therefore, we recommend its effectiveness and reliability for high-resolution 3D simulations of groundwater flow and transport.

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Amaro, Adriana, Max Pfeffer, Ulrich Pfeffer, and Francesco Reggiani. "Evaluation and Comparison of Multi-Omics Data Integration Methods for Subtyping of Cutaneous Melanoma." Biomedicines 10, no. 12 (2022): 3240. http://dx.doi.org/10.3390/biomedicines10123240.

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There is a growing number of multi-domain genomic datasets for human tumors. Multi-domain data are usually interpreted after separately analyzing single-domain data and integrating the results post hoc. Data fusion techniques allow for the real integration of multi-domain data to ideally improve the tumor classification results for the prognosis and prediction of response to therapy. We have previously described the joint singular vector decomposition (jSVD) technique as a means of data fusion. Here, we report on the development of these methods in open source code based on R and Python and on the application of these data fusion methods. The Cancer Genome Atlas (TCGA) Skin Cutaneous Melanoma (SKCM) dataset was used as a benchmark to evaluate the potential of the data fusion approaches to the improve molecular classification of cancers in a clinically relevant manner. Our data show that the data fusion approach does not generate classification results superior to those obtained using single-domain data. Data from different domains are not entirely independent from each other, and molecular classes are characterized by features that penetrate different domains. Data fusion techniques might be better suited for response prediction, where they could contribute to the identification of predictive features in a domain-independent manner to be used as biomarkers.

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Kim, Myunghoi. "Unit-Cell-Based Domain Decomposition Method for Efficient Simulation of a Truncated Electromagnetic Bandgap Structure in High-Speed PCBs." Electronics 7, no. 9 (2018): 201. http://dx.doi.org/10.3390/electronics7090201.

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In this paper, we present a unit-cell-based domain decomposition method (UC-DDM) for rapid and accurate simulation of predicting the parallel plate noise (PPN) suppression of a truncated electromagnetic bandgap (EBG) structure in high-speed printed circuit boards (PCBs). The proposed UC-DDM divides the analysis domain of the truncated EBG structure into UCs as sub-domains. Solving a sub-domain is based on a novel UC model, yielding an analytical expression for the impedance parameter (Z-parameter) of the UC. The novel UC model is derived using a spatial decomposition technique, which results in the modal decomposition of quasi-transverse electromagnetic (TEM) and transverse magnetic (TM) modes. In addition, we analytically derive a impedance-parameter recombination method (ZRM) to obtain the analytical solution of a finite EBG array from the sub-domain results. The proposed UC-DDM is verified through comparison with full-wave simulation results for various EBG arrays. Comparison between the UC-DDM and a full-wave simulation of a truncated EBG structure reveals that a substantial improvement in computation time with high accuracy is achieved. It is demonstrated that the simulation time of the proposed method is only 0.1% of that of a full-wave simulation without accuracy degradation.

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Mukaddes, Abul Mukid Mohammad, Masao Ogino, Ryuji Shioya, and Hiroshi Kanayama. "Treatment of Block-Based Sparse Matrices in Domain Decomposition Method." International Journal of System Modeling and Simulation 2, no. 1 (2017): 1. http://dx.doi.org/10.24178/ijsms.2017.2.1.01.

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Abstract— The domain decomposition method involves the finite element solution of problems in the parallel computer. The finite element discretization leads to the solution of large systems of linear equation whose matrix is naturally sparse. The use of proper storing techniques for sparse matrix is fundamental especially when dealing with large scale problems typical of industrial applications. The aim of this research is to review the sparsity pattern of the matrices originating from the discretization of the elasto-plastic and thermal-convection problems. Some practical strategies dealing with sparsity pattern in the finite element code of adventure system are recalled. Several efficient storage schemes to store the matrix originating from elasto-plastic and thermal-convection problems have been proposed. In the proposed technique, inherent block pattern of the matrix is exploited to locate the matrix element. The computation in the high performance computer shows better performance compared to the conventional skyline storage method used by the most of the researchers.

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ZAFFANELLA, ENEA, PATRICIA M. HILL, and ROBERTO BAGNARA. "Decomposing non-redundant sharing by complementation." Theory and Practice of Logic Programming 2, no. 2 (2002): 233–61. http://dx.doi.org/10.1017/s1471068401001351.

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Complementation, the inverse of the reduced product operation, is a technique for systematically finding minimal decompositions of abstract domains. Filé and Ranzato advanced the state of the art by introducing a simple method for computing a complement. As an application, they considered the extraction by complementation of the pair-sharing domain PS from the Jacobs and Langen's set-sharing domain SH. However, since the result of this operation was still SH, they concluded that PS was too abstract for this. Here, we show that the source of this result lies not with PS but with SH and, more precisely, with the redundant information contained in SH with respect to ground-dependencies and pair-sharing. In fact, a proper decomposition is obtained if the non-redundant version of SH, PSD, is substituted for SH. To establish the results for PSD, we define a general schema for subdomains of SH that includes PSD and Def as special cases. This sheds new light on the structure of PSD and exposes a natural though unexpected connection between Def and PSD. Moreover, we substantiate the claim that complementation alone is not sufficient to obtain truly minimal decompositions of domains. The right solution to this problem is to first remove redundancies by computing the quotient of the domain with respect to the observable behavior, and only then decompose it by complementation.

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Brereton, G. J., and A. Kodal. "A Frequency-Domain Filtering Technique for Triple Decomposition of Unsteady Turbulent Flow." Journal of Fluids Engineering 114, no. 1 (1992): 45–51. http://dx.doi.org/10.1115/1.2909998.

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A new technique is presented for decomposing unsteady turbulent flow variables into their organized unsteady and turbulent components, which appears to offer some significant advantages over existing ones. The technique uses power-spectral estimates of data to deduce the optimal frequency-domain filter for determining the organized and turbulent components of a time series of data. When contrasted with the phase-averaging technique, this method can be thought of as replacing the assumption that the organized motion is identically reproduced in successive cycles of known periodicity by a more general condition: the cross-correlation of the organized and turbulent components is minimized for a time series of measurement data, given the expected shape of the turbulence power spectrum. The method is significantly more general than the phase average in its applicability and makes more efficient use of available data. Performance evaluations for time series of unsteady turbulent velocity measurements attest to the accuracy of the technique and illustrate the improved performance of this method over the phase-averaging technique when cycle-to-cycle variations in organized motion are present.

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Cafiero, M., O. Lloberas-Valls, J. Cante, and J. Oliver. "The domain interface method: a general-purpose non-intrusive technique for non-conforming domain decomposition problems." Computational Mechanics 57, no. 4 (2015): 555–81. http://dx.doi.org/10.1007/s00466-015-1239-x.

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Shanazari, Kamal. "An Adaptive Domain Partitioning Technique for Meshfree-Type Methods." Journal of Applied Mathematics 2012 (2012): 1–13. http://dx.doi.org/10.1155/2012/817026.

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An overlapping domain partitioning based on adapting nodes is presented for the meshless-type methods. The decomposition of the domain is carried out based on the distribution of the nodes produced rather than the geometry of the problem. A set of adaptive nodes is first generated using the dimension reduction and equidistributing along the coordinate directions with respect to arc-length monitor. The domain is then partitioned in such a way that the same number of nodes are allocated to the subdomains. A radial basis function collocation method is applied to each subdomain followed by assembling the global solution from the subproblem's solutions. A generalized thin plate spline with sufficient smoothness is used as a basis function in the collocation method. Some numerical results will be presented to show the performance of the proposed method.

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Kaium, Sk Abdul, Sayed Abul Hossain, and Jafar Sadak Ali. "Modal parameter extraction from measured signal by frequency domain decomposition (FDD) technique." International Journal of Structural Integrity 11, no. 2 (2019): 324–37. http://dx.doi.org/10.1108/ijsi-06-2019-0062.

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Purpose The purpose of this paper is to highlight that the need for improved system identification methods within the domain of modal analysis increases under the impulse of the broadening field of applications, e.g., damage detection and vibro-acoustics, and the increased complexity of today’s structures. Although significant research efforts during the last two decades have resulted in an extensive number of parametric identification algorithms, most of them are certainly not directly applicable for modal parameter extraction. So, based on this, the aim of the present work is to develop a technique for modal parameter extraction from the measured signal. Design/methodology/approach A survey and classification of the different modal analysis methods are made; however, the focus of this thesis is placed on modal parameter extraction from measured time signal. Some of the methods are examined in detail, including both single-degree-of-freedom and multi-degree-of-freedom approaches using single and global frequency-response analysis concepts. The theory behind each of these various analysis methods is presented in depth, together with the development of computer programs, theoretical and experimental examples and discussion, in order to evaluate the capabilities of those methods. The problem of identifying properties of structures that possess close modes is treated in particular detail, as this is a difficult situation to handle and yet a very common one in many structures. It is essential to obtain a good model for the behavior of the structure in order to pursue various applications of experimental modal analysis (EMA), namely: updating of finite element models, structural modification, subsystem-coupling and calculation of real modes from complex modes, to name a few. This last topic is particularly important for the validation of finite element models, and for this reason, a number of different methods to calculate real modes from complex modes are presented and discussed in this paper. Findings In this paper, Modal parameters like mode shapes and natural frequencies are extracted using an FFT analyzer and with the help of ARTeMiS, and subsequently, an algorithm has been developed based on frequency domain decomposition (FDD) technique to check the accuracy of the results as obtained from ARTeMiS. It is observed that the frequency domain-based algorithm shows good agreement with the extracted results. Hence the following conclusion may be drawn: among several frequency domain-based algorithms for modal parameter extraction, the FDD technique is more reliable and it shows a very good agreement with the experimental results. Research limitations/implications In the case of extraction techniques using measured data in the frequency domain, it is reported that the model using derivatives of modal parameters performed better in many situations. Lack of accurate and repeatable dynamic response measurements on complex structures in a real-life situation is a challenging problem to analyze exact modal parameters. Practical implications During the last two decades, there has been a growing interest in the domain of modal analysis. Evolved from a simple technique for troubleshooting, modal analysis has become an established technique to analyze the dynamical behavior of complex mechanical structures. Important examples are found in the automotive (cars, trucks, motorcycles), railway, maritime, aerospace (aircrafts, satellites, space shuttle), civil (bridges, buildings, offshore platforms) and heavy equipment industry. Social implications Presently structural health monitoring has become a significantly important issue in the area of structural engineering particularly in the context of safety and future usefulness of a structure. A lot of research is being carried out in this area incorporating the modern sophisticated instrumentations and efficient numerical techniques. The dynamic approach is mostly employed to detect structural damage, due to its inherent advantage of having global and location-independent responses. EMA has been attempted by many researchers in a controlled laboratory environment. However, measuring input excitation force(s) seems to be very expensive and difficult for the health assessment of an existing real-life structure. So Ambient Vibration Analysis is a good alternative to overcome those difficulties associated with the measurement of input excitation force. Originality/value Three single bay two storey frame structure has been chosen for the experiment. The frame has been divided into six small elements. An algorithm has been developed to determine the natural frequency of those frame structures of which one is undamaged and the rest two damages in single element and double element, respectively. The experimental results from ARTeMIS and from developed algorithm have been compared to verify the effectiveness of the developed algorithm. Modal parameters like mode shapes and natural frequencies are extracted using an FFT analyzer and with the help of ARTeMiS, and subsequently, an algorithm has been programmed in MATLAB based on the FDD technique to check the accuracy of the results as obtained from ARTeMiS. Using singular value decomposition, the power Spectral density function matrix is decomposed using the MATLAB program. It is observed that the frequency domain-based algorithm shows good consistency with the extracted results.

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U S Vevek, B. Elhadidi, and W. L. Chan. "A domain decomposition technique for small amplitude wave interactions with shock waves." Journal of Computational Physics 437 (July 2021): 110326. http://dx.doi.org/10.1016/j.jcp.2021.110326.

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Guarnieri, Giacomo, Giuseppe Pelosi, Lorenzo Rossi, and Stefano Selleri. "A Domain Decomposition Technique for Efficient Iterative Solution of Nonlinear Electromagnetic Problems." IEEE Transactions on Antennas and Propagation 58, no. 12 (2010): 4090–95. http://dx.doi.org/10.1109/tap.2010.2078462.

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Louchart, Olivier, and Anthony Randriamampianina. "A spectral iterative domain decomposition technique for the incompressible Navier–Stokes equations." Applied Numerical Mathematics 33, no. 1-4 (2000): 233–40. http://dx.doi.org/10.1016/s0168-9274(99)00088-4.

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Baronio, A., and F. Zama. "A domain decomposition technique for spline image restoration on distributed memory systems." Parallel Computing 22, no. 1 (1996): 101–10. http://dx.doi.org/10.1016/0167-8191(95)00067-4.

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Lu, Xiaoping, and Wei-liang Wu. "A new subregion boundary element technique based on the domain decomposition method." Engineering Analysis with Boundary Elements 29, no. 10 (2005): 944–52. http://dx.doi.org/10.1016/j.enganabound.2005.08.001.

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Breuß, Michael, Emiliano Cristiani, Pascal Gwosdek, and Oliver Vogel. "An adaptive domain-decomposition technique for parallelization of the fast marching method." Applied Mathematics and Computation 218, no. 1 (2011): 32–44. http://dx.doi.org/10.1016/j.amc.2011.05.041.

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Renaud, François, and Serge Gauthier. "A Dynamical Pseudo-Spectral Domain Decomposition Technique: Application to Viscous Compressible Flows." Journal of Computational Physics 131, no. 1 (1997): 89–108. http://dx.doi.org/10.1006/jcph.1996.5576.

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Gräsle, W., and W. Kessels. "A RAM-economizing domain decomposition technique for regional high-resolution groundwater simulation." Hydrogeology Journal 11, no. 2 (2003): 304–10. http://dx.doi.org/10.1007/s10040-003-0252-x.

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