Academic literature on the topic 'Interface regularization'

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Journal articles on the topic "Interface regularization"

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Liu, Ji-Chuan. "Shape Reconstruction of Conductivity Interface Problems." International Journal of Computational Methods 16, no. 01 (2018): 1850092. http://dx.doi.org/10.1142/s0219876218500925.

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In this paper, we consider a conductivity interface problem to recover the salient features of the inclusion within a body from noisy observation data on the boundary. Based on integral equations, we propose iterative algorithms to detect the location, the size and the shape of the conductivity inclusion. This problem is severely ill-posed and nonlinear, thus we should consider regularization techniques in order to improve the corresponding approximation. We give several examples to show the viability of our proposed reconstruction algorithms.
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POP, IULIU SORIN, and BEN SCHWEIZER. "REGULARIZATION SCHEMES FOR DEGENERATE RICHARDS EQUATIONS AND OUTFLOW CONDITIONS." Mathematical Models and Methods in Applied Sciences 21, no. 08 (2011): 1685–712. http://dx.doi.org/10.1142/s0218202511005532.

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We analyze regularization schemes for the Richards equation and a time discrete numerical approximation. The original equations can be doubly degenerate, therefore they may exhibit fast and slow diffusion. In addition, we treat outflow conditions that model an interface separating the porous medium from a free flow domain. In both situations we provide a regularization with a non-degenerate equation and standard boundary conditions, and discuss the convergence rates of the approximations.
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Conde Mones, José Julio, Emmanuel Roberto Estrada Aguayo, José Jacobo Oliveros Oliveros, Carlos Arturo Hernández Gracidas, and María Monserrat Morín Castillo. "Stable Identification of Sources Located on Interface of Nonhomogeneous Media." Mathematics 9, no. 16 (2021): 1932. http://dx.doi.org/10.3390/math9161932.

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This paper presents a stable method for the identification of sources located on the separation interface of two homogeneous media (where one of them is contained by the other one), from measurement yielded by those sources on the exterior boundary of the media. This is an ill-posed problem because numerical instability is presented, i.e., minimal errors in the measurement can result in significant changes in the solution. To obtain the proposed stable method the identification problem is categorized into three subproblems, two of which present numerical instability and regularization methods
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Du, Jian, Robert D. Guy, Aaron L. Fogelson, Grady B. Wright, and James P. Keener. "An Interface-Capturing Regularization Method for Solving the Equations for Two-Fluid Mixtures." Communications in Computational Physics 14, no. 5 (2013): 1322–46. http://dx.doi.org/10.4208/cicp.180512.210313a.

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AbstractMany problems in biology involve gels which are mixtures composed of a polymer network permeated by a fluid solvent (water). The two-fluid model is a widely used approach to described gel mechanics, in which both network and solvent coexist at each point of space and their relative abundance is described by their volume fractions. Each phase is modeled as a continuum with its own velocity and constitutive law. In some biological applications, free boundaries separate regions of gel and regions of pure solvent, resulting in a degenerate network momentum equation where the network volume
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Torabi, Solmaz, John Lowengrub, Axel Voigt, and Steven Wise. "A new phase-field model for strongly anisotropic systems." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 465, no. 2105 (2009): 1337–59. http://dx.doi.org/10.1098/rspa.2008.0385.

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We present a new phase-field model for strongly anisotropic crystal and epitaxial growth using regularized, anisotropic Cahn–Hilliard-type equations. Such problems arise during the growth and coarsening of thin films. When the anisotropic surface energy is sufficiently strong, sharp corners form and unregularized anisotropic Cahn–Hilliard equations become ill-posed. Our models contain a high-order Willmore regularization, where the square of the mean curvature is added to the energy, to remove the ill-posedness. The regularized equations are sixth order in space. A key feature of our approach
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Liu, Ruohan, and Chunping Ren. "A Novel Combined Regularization for Identifying Random Load Sources on Coal-Rock Structure." Mathematical Problems in Engineering 2023 (April 14, 2023): 1–11. http://dx.doi.org/10.1155/2023/5883003.

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This study discusses the practical engineering problem of determining random load sources on coal-rock structures. A novel combined regularization technique combining mollification method (MM) and discrete regularization (DR), which was called MM-DR technique, was proposed to reconstruct random load sources on coal-rock structures. MM-DR technology is compared with DR, Tikhonov regularization (TR), and maximum entropy regularization (MER) in load reconstruction. The results show that the reconstructed random load sources are more consistent with the real load sources using MM-DR technique comb
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Loghin, Daniel. "Preconditioned Dirichlet-Dirichlet Methods for Optimal Control of Elliptic PDE." Analele Universitatii "Ovidius" Constanta - Seria Matematica 26, no. 2 (2018): 175–92. http://dx.doi.org/10.2478/auom-2018-0024.

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Abstract The discretization of optimal control of elliptic partial differential equations problems yields optimality conditions in the form of large sparse linear systems with block structure. Correspondingly, when the solution method is a Dirichlet-Dirichlet non-overlapping domain decomposition method, we need to solve interface problems which inherit the block structure. It is therefore natural to consider block preconditioners acting on the interface variables for the acceleration of Krylov methods with substructuring preconditioners. In this paper we describe a generic technique which empl
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Bosch, Miguel, Penny Barton, Satish C. Singh, and Immo Trinks. "Inversion of traveltime data under a statistical model for seismic velocities and layer interfaces." GEOPHYSICS 70, no. 4 (2005): R33—R43. http://dx.doi.org/10.1190/1.1993712.

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We invert large-aperture seismic reflection and refraction data from a geologically complex area on the northeast Atlantic margin to jointly estimate seismic velocities and depths of major interfaces. Our approach combines this geophysical data information with prior information on seismic compressional velocities and the structural interpretation of seismic sections. We constrain expected seismic velocities in the prior model using information from well logs from a nearby area. The layered structure and prior positions of the interfaces follow information from the seismic section obtained by
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Chaboche, J. L., F. Feyel, and Y. Monerie. "Interface debonding models: a viscous regularization with a limited rate dependency." International Journal of Solids and Structures 38, no. 18 (2001): 3127–60. http://dx.doi.org/10.1016/s0020-7683(00)00053-6.

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Rani, Pooja, Rajneesh Kumar, and Anurag Jain. "An Intelligent System for Heart Disease Diagnosis using Regularized Deep Neural Network." Journal of Applied Research and Technology 21, no. 1 (2023): 87–97. http://dx.doi.org/10.22201/icat.24486736e.2023.21.1.1544.

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Heart disease is one of the deadly diseases. Timely detection of the disease can prevent mortality. In this paper, an intelligent system is proposed for the diagnosis of heart disease using clinical parameters at early stages. The system is developed using the Regularized Deep Neural Network model (Reg-DNN). Cleveland heart disease dataset has been used for training the model. Regularization has been achieved by using dropout and L2 regularization. Efficiency of Reg-DNN was evaluated by using hold-out validation method.70% data was used for training the model and 30% data was used for testing
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Dissertations / Theses on the topic "Interface regularization"

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ANILE, LORENA HELENA DOS SANTOS S. "TO FORMALIZE THE LAND? ANALYSIS OF THE IMPACTS OF THE LAND REGULARIZATION PROGRAMS IN THE RIO DE JANEIRO FAVELAS AND THEIR INTERFACE WITH URBAN INFORMALITY." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2018. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=34882@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO<br>CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO<br>A população moradora das favelas cria estratégias para sua manutenção nesses locais. Longe de afirmar que a informalidade seria uma solução para todos os problemas da favela, a presente dissertação compreende esta prática como funcional. Contrapondo a isto, a Regularização Fundiária é entendida como a legalização das propriedades das áreas informais. Entretanto, o que se vê, na maioria das favelas cariocas que receberam estes projetos, é a entrega de um título fragilizado, que
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Loison, Arthur. "Unified two-scale Eulerian multi-fluid modeling of separated and dispersed two-phase flows." Electronic Thesis or Diss., Institut polytechnique de Paris, 2024. http://www.theses.fr/2024IPPAX009.

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Les écoulements diphasiques liquide-gaz sont présents dans de nombreuses applications industrielles telles que la propulsion aérospatiale, l'hydraulique nucléaire ou les colonnes à bulles dans l'industrie chimique.La simulation de ces écoulements est d'un intérêt primordial pour leur compréhension et leur optimisation.Cependant, la dynamique de l'interface séparant le gaz du liquide peut avoir une dynamique multi-échelle et rend alors sa simulation trop coûteuse en calcul dans un contexte industriel.Une classe de modèles - dits multi-fluides - sont moins coûteux pour des régimes particuliers d
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Proulx, Louis-Xavier. "Étude numérique et asymptotique d'une approche couplée pour la simulation de la propagation de feux de forêt avec l'effet du vent en terrain complexe." Thèse, 2016. http://hdl.handle.net/1866/20586.

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Book chapters on the topic "Interface regularization"

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Sanchez, Justin C., and José C. Principe. "Regularization Techniques for BMI Models." In Brain-Machine Interface Engineering. Springer International Publishing, 2007. http://dx.doi.org/10.1007/978-3-031-01621-9_4.

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Boutin, B., F. Coquel, and E. Godlewski. "Dafermos Regularization for Interface Coupling of Conservation Laws." In Hyperbolic Problems: Theory, Numerics, Applications. Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-75712-2_55.

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Thang, Le Quoc, and Chivalai Temiyasathit. "Investigation of Regularization Theory for Four-Class Classification in Brain-Computer Interface." In Future Data and Security Engineering. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-12778-1_21.

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Araújo, Rogério Palhares Zschaber de, Ana Clara Mourão Moura, and Thaisa Daniele Apóstolo Nogueira. "Creating Collaborative Environments for the Development of Slum Upgrading and Illegal Settlement Regularization Plans in Belo Horizonte, Brazil." In Advances in Electronic Government, Digital Divide, and Regional Development. IGI Global, 2022. http://dx.doi.org/10.4018/978-1-7998-9090-4.ch005.

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Slum upgrading comprehensive plans and urban regularization plans are two planning tools used to promote integrated interventions in Brazilian slums and illegal settlements. Aiming at urban improvements as well as land regularization and community development, these plans have been, however, criticized for being too technical, time consuming, expensive, and top-down oriented, lacking sufficient participation to achieve community consensus on priorities, under severe budget restrictions in complex and fast changing realities. This chapter discusses the results of recent experiences in Belo Horizonte, Brazil using Geodesign framework and geovisualization strategies for collaborative planning in two illegal settlements: Maria Tereza (2016) and the Dandara (2018). A methodology for regularization plans was developed, and improvements to the Geodesign interface were tested with the use of open source Web Maps. Both experiences brought evidence on how the use of the proposed framework may enhance citizens' participation and improve planning methods based on social and community values.
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Conference papers on the topic "Interface regularization"

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Zoumpourlis, Georgios, and Ioannis Patras. "CovMix: Covariance Mixing Regularization for Motor Imagery Decoding." In 2022 10th International Winter Conference on Brain-Computer Interface (BCI). IEEE, 2022. http://dx.doi.org/10.1109/bci53720.2022.9734883.

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Viriyavisuthisakul, Supatta, Parinya Sanguansat, and Toshihiko Yamasaki. "A Web Demo Interface for Super-Resolution Reconstruction with Parametric Regularization Loss." In ICMR '24: International Conference on Multimedia Retrieval. ACM, 2024. http://dx.doi.org/10.1145/3652583.3657591.

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Okamoto, Kei, and Ben Q. Li. "Inverse Design of Solidification Processes." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-59449.

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An inverse algorithm is developed for the design of the solidification processing systems. The algorithm entails the use of the Tikhonov regularization method, along with an appropriately selected regularization parameter. Both the direct solution of moving boundary problems and the inverse design formulation are presented, along with the L-curve to select an optimal regularization parameter for inverse design calculations. The design algorithm is applied to determine the appropriate boundary heat flux distribution in order to obtain a unidirectional solidification front in a 2-D cavity by eli
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Brake, M. R., M. J. Starr, and D. J. Segalman. "Modeling Constrained Layer Frictional Interfaces With Discontinuous Basis Functions." In ASME 2011 International Mechanical Engineering Congress and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/imece2011-62441.

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Constrained layer frictional interfaces, such as joints, are prevalent in engineering applications. Because these interfaces are often used in built-up structures, reduced order modeling techniques are utilized for developing simulations of them. One limitation of the existing reduced order modeling techniques, though, is the loss of the local kinematics due to regularization of the frictional interfaces. This paper aims to avoid the use of regularization in the modeling of constrained layer frictional interfaces by utilizing a new technique, the discontinuous basis function method. This metho
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Okamoto, Kei, and Ben Q. Li. "Inverse Design of Time Dependent Solidification Processes." In ASME 2005 Summer Heat Transfer Conference collocated with the ASME 2005 Pacific Rim Technical Conference and Exhibition on Integration and Packaging of MEMS, NEMS, and Electronic Systems. ASMEDC, 2005. http://dx.doi.org/10.1115/ht2005-72556.

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An inverse algorithm is developed for the design of the solidification processing systems. The algorithm entails the use of the Tikhonov regularization method, along with an appropriately selected regularization parameter. Both the direct solution of moving boundary problems and the inverse design formulation are presented, along with the L-curve method to select an optimal regularization parameter for inverse design calculations. The design algorithm is applied to determine the optimal boundary heat flux distribution in order to obtain a unidirectional solidification front moving at a constan
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Masat, Alessandro, Camilla Colombo, and Arnaud Boutonnet. "GPU-based Augmented Trajectory Propagation: orbital regularization interface and NVIDIA CUDA Tensor Core performance." In ESA 12th International Conference on Guidance Navigation and Control and 9th International Conference on Astrodynamics Tools and Techniques. ESA, 2023. http://dx.doi.org/10.5270/esa-gnc-icatt-2023-199.

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Several analysis tasks feature the propagation of large sets of trajectories, ranging from monitoring the space debris environment to assessing the compliance of space missions with planetary protection policies. The increasingly stringent accuracy requirements inevitably make high-fidelity analyses become more computationally intensive, easily reaching the need of propagating hundreds of thousands of trajectories for one single task. For this reason, high-performance computing (HPC) and GPU (Graphics Processing Unit) computing techniques become one of the enabling technologies that allow the
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Lamarche-Gagnon, Marc-Étienne, Farshad Navah, Florin Ilinca, Marjan Molavi-Zarandi, and Vincent Raymond. "A Comparative Study Between a Sharp and a Diffuse Topology Optimization Method for Thermal Problems." In ASME 2021 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/imece2021-72861.

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Abstract The objective of this work is to compare two topology optimization strategies, i.e. density-based (diffuse) and level-set-based (sharp), in thermal problems involving a heat conductor and an insulation material. The fundamental difference between the two methods lies in the representation of the materials’ interface: the density method allows for transitional regions whereas the level set one does not. Several regularization techniques, such as perimeter restriction, parameter ramping, level set gradient restriction and parametrization, are explored in order to enhance each method’s r
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Brown, Lucy, Suhas Jain, and Parviz Moin. "A Phase Field Model for Simulating the Freezing of Supercooled Liquid Droplets." In International Conference on Icing of Aircraft, Engines, and Structures. SAE International, 2023. http://dx.doi.org/10.4271/2023-01-1454.

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&lt;div class="section abstract"&gt;&lt;div class="htmlview paragraph"&gt;In this work, ice accretion is investigated on a fundamental level using a novel Eulerian phase field approach that captures the phase interface. This method, unlike the Allen-Cahn method, does not lead to spurious phase change (artificial mass loss). This method is also straightforward to implement and avoids normal vector reconstructions along the interface or ghost cells. Additionally, it has well-defined and novel stiffness constraints for accuracy and stability that define parameters in the model such as the kinetic
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Gill, Jennifer, Eduardo Divo, and Alain J. Kassab. "Estimating Thermal Contact Resistance Using Sensitivity Analysis." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-62230.

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Characterization of the thermal contact resistance is important in modeling of multi-component thermal systems which feature mechanically mated surfaces. Thermal resistance is phenomenologically quite complex and depends on many parameters including surface characteristics of the interfacial region and contact pressure. In general, the contact resistance varies as a function of pressure and is non-uniform along the interface. A two dimensional model problem is solved analytically for a known contact resistance between two mated surfaces. The results from the analytical solution are compared wi
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Zabaras, Nicholas J. "On the Design of Continuum Thermal Transport Systems With Applications to Solidification Processes." In ASME 2001 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/imece2001/htd-24335.

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Abstract A general class of design problems is examined in thermal transport systems. We mainly address inverse problems with overspecified coupled boundary conditions in one part of the boundary and unknown thermal conditions in another part of the boundary. The methods of choice for the solution of the above inverse problems are functional optimization methods using appropriately defined continuum sensitivity and adjoint problems. Conjugate gradient techniques, preconditioning and regularization are considered within an innovative object-oriented finite element framework. Our particular inte
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