Relevant bibliographies by topics / Partition of unity method

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Partition of unity method'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Partition of unity method"

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BABUŠKA, I., and J. M. MELENK. "THE PARTITION OF UNITY METHOD." International Journal for Numerical Methods in Engineering 40, no. 4 (1997): 727–58. http://dx.doi.org/10.1002/(sici)1097-0207(19970228)40:4<727::aid-nme86>3.0.co;2-n.

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Fries, Thomas-Peter, and Ted Belytschko. "The intrinsic partition of unity method." Computational Mechanics 40, no. 4 (2007): 803–14. http://dx.doi.org/10.1007/s00466-006-0142-x.

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Schweitzer, Marc Alexander. "Multilevel particle-partition of unity method." Numerische Mathematik 118, no. 2 (2010): 307–28. http://dx.doi.org/10.1007/s00211-010-0346-z.

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Riker, Carsten, and Stefan M. Holzer. "The mixed-cell-complex partition-of-unity method." Computer Methods in Applied Mechanics and Engineering 198, no. 13-14 (2009): 1235–48. http://dx.doi.org/10.1016/j.cma.2008.04.026.

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Zhao, Xiaoying, Yanren Hou, and Guangzhi Du. "A parallel partition of unity method for the unsteady Stokes equations." International Journal of Numerical Methods for Heat & Fluid Flow 27, no. 9 (2017): 2105–14. http://dx.doi.org/10.1108/hff-04-2016-0169.

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Purpose The purpose of this paper is to propose a parallel partition of unity method to solve the time-dependent Stokes problems. Design/methodology/approach This paper solved the time-dependent Stokes equations using the finite element method and the partition of unity method. Findings The proposed method in this paper obtained the same accuracy as the standard Galerkin method, but it, in general, saves time. Originality/value Based on a combination of the partition of unity method and the finite element method, the authors, in this paper, propose a new parallel partition of unity method to s
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Hong, Won-Tak, and Phill-Seung Lee. "Coupling flat-top partition of unity method and finite element method." Finite Elements in Analysis and Design 67 (May 2013): 43–55. http://dx.doi.org/10.1016/j.finel.2012.12.002.

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Schweitzer, Marc Alexander. "Variational Mass Lumping in the Partition of Unity Method." SIAM Journal on Scientific Computing 35, no. 2 (2013): A1073—A1097. http://dx.doi.org/10.1137/120895561.

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Du, Guangzhi, and Yanren Hou. "A parallel partition of unity method for the time-dependent convection-diffusion equations." International Journal of Numerical Methods for Heat & Fluid Flow 25, no. 8 (2015): 1947–56. http://dx.doi.org/10.1108/hff-09-2014-0277.

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Purpose – The purpose of this paper is to propose a parallel partition of unity method to solve the time-dependent convection-diffusion equations. Design/methodology/approach – This paper opted for the time-dependent convection-diffusion equations using the finite element method and the partition of unity method. Findings – This paper provides one efficient parallel algorithm which reaches the same accuracy as the standard Galerkin method (SGM) but saves a lot of computational time. Originality/value – In this paper, a parallel partition of unity method is proposed for the time-dependent conve
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Hong, Won-Tak. "A Non-Convex Partition of Unity and Stress Analysis of a Cracked Elastic Medium." Advances in Mathematical Physics 2017 (2017): 1–9. http://dx.doi.org/10.1155/2017/9574341.

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A stress analysis using a mesh-free method on a cracked elastic medium needs a partition of unity for a non-convex domain whether it is defined explicitly or implicitly. Constructing such partition of unity is a nontrivial task when we choose to create a partition of unity explicitly. We further extend the idea of the almost everywhere partition of unity and apply it to linear elasticity problem. We use a special mapping to build a partition of unity on a non-convex domain. The partition of unity that we use has a unique feature: the mapped partition of unity has a curved shape in the physical
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Peng, Guo Liang, and Yu Heng Wang. "A Node Split Method for Crack Growth Problem." Applied Mechanics and Materials 182-183 (June 2012): 1524–28. http://dx.doi.org/10.4028/www.scientific.net/amm.182-183.1524.

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A node split method based on Partition-of-unity method and mesh modified has been developed for numerical simulation of crack growth. The crack tip could be represented by the enrichment function based on Partition-of-unity method. The crack besides the tip always locates on the edge of element by moving the nodes around crack, and the continuity of crack could be kept on. For an example of 2D quadrilateral mesh, mesh processing has been presented on different condition. The simulation results indicate that applying the node split method to simulate crack growth problem can achieve relatively
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Dissertations / Theses on the topic "Partition of unity method"

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Mertens, Tanguy. "A new mapped infinite partition of unity method for convected acoustical radiation in infinite domains." Doctoral thesis, Universite Libre de Bruxelles, 2009. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/210365.

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Résumé:<p><p>Cette dissertation s’intéresse aux méthodes numériques dans le domaine de l’acoustique. Les propriétés acoustiques d’un produit sont devenues une part intégrante de la conception. En effet, de nos jours le bruit est perçu comme une nuisance par le consommateur et constitue un critère de vente. Il y a de plus des normes à respecter. Les méthodes numériques permettent de prédire la propagation sonore et constitue dès lors un outil de conception incontournable pour réduire le temps et les coûts de développement d’un produit.<p><p>Cette dissertation considère la propagation d’ondes ac
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Simpson, Robert. "Enrichment of the boundary element method through the partition of unity method for fracture analysis using local and global formulations." Thesis, Durham University, 2010. http://etheses.dur.ac.uk/305/.

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The present thesis proposes an innovative technique of applying enrichment to the Boundary Element Method to allow accurate analysis of 2D crack problems. An overview of fracture mechanics is given, with particular emphasis given to numerical methods and the techniques used to extract the highly important stress intensity factors - a measure of the singularity of a crack tip. The Boundary Element Method framework is described and later, the implementation of the new technique of enrichment is defined in detail. Finally, several crack problems are used to verify the accuracy of the method where
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Yang, Mingming. "Development of the partition of unity finite element method for the numerical simulation of interior sound field." Thesis, Compiègne, 2016. http://www.theses.fr/2016COMP2282/document.

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Dans ce travail, nous avons introduit le concept sous-jacent de PUFEM et la formulation de base lié à l'équation de Helmholtz dans un domaine borné. Le processus d'enrichissement de l'onde plane de variables PUFEM a été montré et expliqué en détail. L'idée principale est d'inclure une connaissance a priori sur le comportement local de la solution dans l'espace des éléments finis en utilisant un ensemble de fonctions d'onde qui sont des solutions aux équations aux dérivées partielles. Dans cette étude, l'utilisation des ondes planes se propageant dans différentes directions a été favorisée car
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Diwan, Ganesh Chandrashen. "Partition of unity boundary element and finite element method : overcoming nonuniqueness and coupling for acoustic scattering in heterogeneous media." Thesis, Durham University, 2014. http://etheses.dur.ac.uk/10730/.

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The understanding of complex wave phenomenon, such as multiple scattering in heterogeneous media, is often hindered by lack of equations modelling the exact physics. Use of approximate numerical methods, such as Finite Element Method (FEM) and Boundary Element Method (BEM), is therefore needed to understand these complex wave problems. FEM is known for its ability to accurately model the physics of the problem but requires truncating the computational domain. On the other hand, BEM can accurately model waves in unbounded region but is suitable for homogeneous media only. Coupling FEM and BEM t
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Shibanuma, Kazuki. "Reformulation of XFEM and its application to fatigue crack simulations in steel structures." 京都大学 (Kyoto University), 2010. http://hdl.handle.net/2433/120941.

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Shcherbakov, Victor. "Localised Radial Basis Function Methods for Partial Differential Equations." Doctoral thesis, Uppsala universitet, Avdelningen för beräkningsvetenskap, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-332715.

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Radial basis function methods exhibit several very attractive properties such as a high order convergence of the approximated solution and flexibility to the domain geometry. However the method in its classical formulation becomes impractical for problems with relatively large numbers of degrees of freedom due to the ill-conditioning and dense structure of coefficient matrix. To overcome the latter issue we employ a localisation technique, namely a partition of unity method, while the former issue was previously addressed by several authors and was of less concern in this thesis. In this thesi
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Lluberes, Pedro Licinio. "Unity, method and mathematization : the enlightened cartesian." Thesis, University of Oxford, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.335895.

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Weedman, Mark Edward. "Sacrament and unity a critical examination of William Robinson's theological method /." Theological Research Exchange Network (TREN), 1994. http://www.tren.com.

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Alghamdi, Ohud. "Removable Singularities for Holder Continuous Solutions of the Fractional Laplacian." Kent State University / OhioLINK, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=kent1459422077.

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RODRIGUEZ, CARLOS ANDRES GAMBOA. "PARTITION-BASED METHOD FOR TWO-STAGE STOCHASTIC LINEAR PROGRAMMING PROBLEMS WITH COMPLETE RECOURSE." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2017. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=33359@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO<br>COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR<br>PROGRAMA DE SUPORTE À PÓS-GRADUAÇÃO DE INSTS. DE ENSINO<br>A parte mais difícil de modelar os problemas de tomada de decisão do mundo real, é a incerteza associada a realização de eventos futuros. A programação estocástica se encarrega desse assunto; o objetivo é achar soluções que sejam factíveis para todas as possíveis realizações dos dados, otimizando o valor esperado de algumas funções das variáveis de decisão e de incerteza. A abordagem mais estudada está baseada em simula
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Books on the topic "Partition of unity method"

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Schweitzer, Marc Alexander. A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations. Springer Berlin Heidelberg, 2003.

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Schweitzer, Marc Alexander. A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-59325-3.

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Agency, OECD Nuclear Energy. Partition coefficient (1-octanol/water): Slow-stirring method. Organisation for Economic Co-Operation and Development, 2006.

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Ellington, J. Jackson. Measuring octanol/water partition coefficients by the "slow-stirring" method. U.S. Environmental Protection Agency, National Exposure Research Laboratory, 1996.

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Lisa, Amoroso, ed. Constructing social research: The unity and diversity of method. 2nd ed. Pine Forge Press, an imprint of SAGE Publications, 2010.

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Ragin, Charles C. Constructing social research: The unity and diversity of method. Pine Forge Press, 1994.

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Method in ecumenical theology: The lessons so far. Cambridge University Press, 1996.

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Pathways for ecclesial dialogue in the twenty-first century: Revisiting ecumenical method. Palgrave Macmillan, 2015.

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Unity of all Christians in love and mission: The ecumenical method of Kenneth Scott Latourette. Suomalainen Tiedeakatemia, 1990.

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Dickhut, Willi. The dialectical method in the working-class movement ; The dialectical unity of theory and practice. Verlag Neuer Weg, 2002.

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Book chapters on the topic "Partition of unity method"

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Schweitzer, Marc Alexander. "Partition of Unity Method." In Lecture Notes in Computational Science and Engineering. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-59325-3_2.

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Schweitzer, Marc Alexander. "Tree Partition of Unity Method." In Lecture Notes in Computational Science and Engineering. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-59325-3_5.

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Macri, Michael, and Suvranu De. "A Partition of Unity-Based Multiscale Method." In Progress on Meshless Methods. Springer Netherlands, 2009. http://dx.doi.org/10.1007/978-1-4020-8821-6_15.

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Griebel, Michael, and Marc Alexander Schweitzer. "A Particle-Partition of Unity Method-Part IV: Parallelization." In Lecture Notes in Computational Science and Engineering. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-56103-0_12.

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Griebel, M., and M. A. Schweitzer. "A Particle-Partition of Unity Method Part V: Boundary Conditions." In Geometric Analysis and Nonlinear Partial Differential Equations. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-55627-2_27.

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Ciaramella, Gabriele, and Martin J. Gander. "Partition of Unity Methods for Heterogeneous Domain Decomposition." In Lecture Notes in Computational Science and Engineering. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-93873-8_15.

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Schweitzer, Marc Alexander, and Albert Ziegenhagel. "Dispersion Properties of the Partition of Unity Method and Explicit Dynamics." In Lecture Notes in Computational Science and Engineering. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06898-5_14.

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Schweitzer, Marc Alexander. "Multilevel Partition of Unity Method for Elliptic Problems with Strongly Discontinuous Coefficients." In Meshfree Methods for Partial Differential Equations VI. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-32979-1_6.

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Schweitzer, Marc Alexander, and Albert Ziegenhagel. "Embedding Enriched Partition of Unity Approximations in Finite Element Simulations." In Meshfree Methods for Partial Differential Equations VIII. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-51954-8_10.

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Brenner, Susanne C., Christopher B. Davis, and Li-yeng Sung. "A Partition of Unity Method for the Obstacle Problem of Simply Supported Kirchhoff Plates." In Lecture Notes in Computational Science and Engineering. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06898-5_2.

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Conference papers on the topic "Partition of unity method"

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French, Donald A., John A. Benek, and Christopher R. Schrock. "Theoretical Analysis of a Partition of Unity Direct Overset Finite Element Method." In 2018 Fluid Dynamics Conference. American Institute of Aeronautics and Astronautics, 2018. http://dx.doi.org/10.2514/6.2018-3248.

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Somphone, O., S. Makram-Ebeid, and L. D. Cohen. "Robust image registration based on a Partition of Unity Finite Element Method." In 2008 5th IEEE International Symposium on Biomedical Imaging (ISBI 2008). IEEE, 2008. http://dx.doi.org/10.1109/isbi.2008.4541198.

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Makram-Ebeid, Sherif, and Oudom Somphone. "Non-Rigid Image Registration using a Hierarchical Partition of Unity Finite Element Method." In 2007 IEEE 11th International Conference on Computer Vision. IEEE, 2007. http://dx.doi.org/10.1109/iccv.2007.4409078.

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Peake, M. J., J. Trevelyan, and G. Coates. "NOVEL BASIS FUNCTIONS FOR THE PARTITION OF UNITY BOUNDARY ELEMENT METHOD FOR HELMHOLTZ PROBLEMS." In 10th World Congress on Computational Mechanics. Editora Edgard Blücher, 2014. http://dx.doi.org/10.5151/meceng-wccm2012-18368.

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Ho, Hon Shan, Bonnie Lui, X. H. Xing, et al. "Parametric Shape and Topology Optimization with Radial Basis Functions and Partition of Unity Method." In PROCEEDINGS OF THE 2ND INTERNATIONAL SYMPOSIUM ON COMPUTATIONAL MECHANICS AND THE 12TH INTERNATIONAL CONFERENCE ON THE ENHANCEMENT AND PROMOTION OF COMPUTATIONAL METHODS IN ENGINEERING AND SCIENCE. AIP, 2010. http://dx.doi.org/10.1063/1.3452180.

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Istrate, Mircea, and Gérard Winkelmuller. "Numerical Simulations Of Moving Interfaces By Level Set Method In The Partition Of Unity Concept." In MATERIALS PROCESSING AND DESIGN; Modeling, Simulation and Applications; NUMIFORM '07; Proceedings of the 9th International Conference on Numerical Methods in Industrial Forming Processes. AIP, 2007. http://dx.doi.org/10.1063/1.2741025.

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Astley, Jeremy, and Pablo Gamallo. "The Partition of Unity Finite Element Method for Short Wave Acoustic Propagation on Nonuniform Potential Flows." In 10th AIAA/CEAS Aeroacoustics Conference. American Institute of Aeronautics and Astronautics, 2004. http://dx.doi.org/10.2514/6.2004-2893.

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Khachatryan, Samvel, and Lilit Minasyan. "Design of orthogonal transforms based on partition of unity method and their application to image compression." In 2009 International Workshop on Local and Non-Local Approximation in Image Processing (LNLA 2009). IEEE, 2009. http://dx.doi.org/10.1109/lnla.2009.5278390.

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wu, Bo, Peihang Lu, Jie Lu, Jingli Xu, and Xiaogang Liu. "An Assembly Units Partition Method of Complex Assembly." In 2019 IEEE 2nd International Conference on Automation, Electronics and Electrical Engineering (AUTEEE). IEEE, 2019. http://dx.doi.org/10.1109/auteee48671.2019.9033243.

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Chazot, Jean-Daniel, Benoit Nennig, and Emmanuel Perrey-Debain. "Numerical simulation of acoustic waves in air and porelastic media using the partition of unity finite element method." In ICA 2013 Montreal. ASA, 2013. http://dx.doi.org/10.1121/1.4799698.

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Reports on the topic "Partition of unity method"

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Babuska, I., and J. M. Melenk. The Partition of Unity Finite Element Method. Defense Technical Information Center, 1995. http://dx.doi.org/10.21236/ada301760.

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Pask, J., N. Sukumar, M. Guney, and W. Hu. Partition-of-unity finite-element method for large scale quantum molecular dynamics on massively parallel computational platforms. Office of Scientific and Technical Information (OSTI), 2011. http://dx.doi.org/10.2172/1021061.

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Manzini, Gianmarco, Ondrej Certik, Jerome Droniou, and Natarajan Sukumar. The gradient discretization framework for virtual element and partition of unity methods for the Schrodinger equation. Office of Scientific and Technical Information (OSTI), 2018. http://dx.doi.org/10.2172/1475303.

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Caracci, Melanie C., R. S. Geary, C. M. Wall, and Gary W. Jepson. Development of Microdialysis Probe Method for Partition Coefficient Determination for Pharmacokinetic Modeling. Defense Technical Information Center, 1995. http://dx.doi.org/10.21236/ada325791.

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