Výsledky vyhledávání - "domain decomposition for initial value and initial-boundary value problems involving PDEs"

DeepONet Based Preconditioning Strategies for Solving Parametric Linear Systems of Equations: DeepONet based preconditioning strategies for solving parametric linear systems of equations

Autoři: Alena Kopaničáková George Em Karniadakis

Zdroj: SIAM Journal on Scientific Computing. 47:C151-C181

Témata: Large-scale problems in mathematical programming, Iterative numerical methods for linear systems, operator learning, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, preconditioning, Learning and adaptive systems in artificial intelligence, FOS: Mathematics, Krylov methods, Preconditioners for iterative methods, spectral bias, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), hybridization

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2401.02016

New Time Domain Decomposition Methods for Parabolic Optimal Control Problems II: Neumann–Neumann Algorithms: New time domain decomposition methods for parabolic optimal control problems. II: Neumann-Neumann algorithms

Autoři: Martin J. Gander Liu-Di Lu

Zdroj: SIAM Journal on Numerical Analysis. 62:2588-2610

Témata: Finite difference methods for boundary value problems involving PDEs, Controllability, parallel in time, time domain decomposition, 65M12, 65M55, 65Y05, Parallel numerical computation, parabolic optimal control problems, Numerical Analysis (math.NA), PDE constrained optimization (numerical aspects), 01 natural sciences, convergence analysis, Neumann-Neumann algorithm, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, Optimization and Control (math.OC), Approximation by arbitrary linear expressions, Finite difference methods for initial value and initial-boundary value problems involving PDEs, 0103 physical sciences, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Mathematics - Optimization and Control

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2401.15522
https://zbmath.org/7957568
https://doi.org/10.1137/24m1634424

A reduced-order two-grid method based on POD technique for the semilinear parabolic equation

Autoři: Junpeng Song Hongxing Rui

Zdroj: Applied Numerical Mathematics. 205:240-254

Témata: reduced-order two-grid, error estimate, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, Error bounds for initial value and initial-boundary value problems involving PDEs, proper orthogonal decomposition, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, degrees of freedom, Finite difference methods for initial value and initial-boundary value problems involving PDEs, semilinear parabolic equation, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Semilinear parabolic equations

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7901906
https://doi.org/10.1016/j.apnum.2024.07.012

A parameter uniform numerical method on a Bakhvalov type mesh for singularly perturbed degenerate parabolic convection–diffusion problems: A parameter uniform numerical method on a Bakhvalov type mesh for singularly perturbed degenerate parabolic convection-diffusion problems

Autoři: Shashikant Kumar Sunil Kumar Higinio Ramos a další

Zdroj: GREDOS. Repositorio Institucional de la Universidad de Salamanca
Universidad de Salamanca (USAL)

Témata: 12 Matemáticas, uniform convergence, 01 natural sciences, Bakhvalov mesh, Error bounds for initial value and initial-boundary value problems involving PDEs, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, upwind scheme, Upwind scheme, Finite difference methods for initial value and initial-boundary value problems involving PDEs, degenerate parabolic problem, Degenerate parabolic problem, Uniform convergence, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Singular perturbation, singular perturbation

Popis souboru: application/xml

Přístupová URL adresa: http://hdl.handle.net/10366/166738

A Multi-domain Spectral Method with Mapping Techniques for the Fokker-Planck Equation in Irregular Domains: A multi-domain spectral method with mapping techniques for the Fokker-Planck equation in irregular domains

Autoři: Wang, Chuan Wang, Zicheng Wang, Zhongqing

Zdroj: Journal of Scientific Computing. 102

Témata: Approximation by polynomials, Error bounds for initial value and initial-boundary value problems involving PDEs, convergence, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, multi-domain spectral method, coordinate transformations, Fokker-Planck equation, irregular domains, Fokker-Planck equations, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

Popis souboru: application/xml

A rapidly converging domain decomposition algorithm for a time delayed parabolic problem with mixed type boundary conditions exhibiting boundary layers

Autoři: null Aakansha Sunil Kumar Higinio Ramos

Zdroj: GREDOS. Repositorio Institucional de la Universidad de Salamanca
Universidad de Salamanca (USAL)

Témata: Delay differential equations, delay differential equations, Domain decomposition methods, domain decomposition methods, uniformly convergent methods, Error bounds for initial value and initial-boundary value problems involving PDEs, Uniformly convergent methods, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Parabolic problems, singularly perturbed problems, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Singularly perturbed problems, parabolic problems

Popis souboru: application/xml

Přístupová URL adresa: http://hdl.handle.net/10366/156113

A Lagrange Multiplier Method for Fluid-Structure Interaction: Well-Posedness and Domain Decomposition: A Lagrange multiplier method for fluid-structure interaction: well-posedness and domain decomposition

Autoři: Amy de Castro Hyesuk Lee Margaret M. Wiecek

Zdroj: Computers & Mathematics with Applications. 181:193-215

Témata: Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, inf-sup condition, Schur complement, interface problem, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, non-iterative partitioned scheme

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8010407
https://doi.org/10.1016/j.camwa.2024.12.020

Highly efficient, decoupled and unconditionally stable numerical schemes for a modified phase-field crystal model with a strong nonlinear vacancy potential

Autoři: Zhang, Xin Wu, Jingwen Tan, Zhijun

Zdroj: Computers & Mathematics with Applications. 132:119-134

Témata: unconditional energy stability, exponential SAV, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, Finite difference methods for initial value and initial-boundary value problems involving PDEs, modified phase-field crystal, 0103 physical sciences, vacancy, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, 01 natural sciences, Statistical mechanics of crystals, Stefan problems, phase changes, etc

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7648419
https://doi.org/10.1016/j.camwa.2022.12.011

Two-grid reduced-order method based on POD for a nonlinear poroelasticity model

Autoři: Li, Hongpeng Rui, Hongxing Gao, Mengqi

Zdroj: Journal of Computational and Applied Mathematics. 460:116413

Témata: reduced-order finite element method, Linear elasticity with initial stresses, Finite element methods applied to problems in solid mechanics, nonlinear poroelasticity, Flows in porous media, filtration, seepage, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, PDEs in connection with fluid mechanics, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), Finite difference methods applied to problems in fluid mechanics, Finite difference methods applied to problems in solid mechanics, Error bounds for initial value and initial-boundary value problems involving PDEs, proper orthogonal decomposition, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Soil and rock mechanics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, two-grid method, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, PDEs in connection with mechanics of deformable solids, Finite element methods applied to problems in fluid mechanics

Popis souboru: application/xml

A type of efficient multigrid method for semilinear parabolic interface problems

Autoři: Fan Chen Ming Cui Chenguang Zhou

Zdroj: Communications in Nonlinear Science and Numerical Simulation. 143:108632

Témata: Error bounds for initial value and initial-boundary value problems involving PDEs, nonnested multilevel correction method, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, finite element method, semilinear parabolic interface problem, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, nested multilevel correction method

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8014706
https://doi.org/10.1016/j.cnsns.2025.108632

An augmented fourth order domain-decomposed method with fast algebraic solvers for three-dimensional Helmholtz interface problems

Autoři: Yang, Huanfeng Long, Guangqing Ren, Yiming a další

Zdroj: Journal of Computational Physics. 524:113742

Témata: Helmholtz interface problems, domain decomposition, matched interface and boundary (MIB) method, fast Fourier transform (FFT), Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, Finite difference methods for initial value and initial-boundary value problems involving PDEs, mixed boundary conditions, high order finite difference methods, Numerical methods for discrete and fast Fourier transforms

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7996154
https://doi.org/10.1016/j.jcp.2025.113742

GDSW preconditioners for composite Discontinuous Galerkin discretizations of multicompartment reaction–diffusion problems: GDSW preconditioners for composite discontinuous Galerkin discretizations of multicompartment reaction-diffusion problems

Autoři: Huynh, Ngoc Mai Monica Pavarino, Luca F. Scacchi, Simone

Zdroj: Computer Methods in Applied Mechanics and Engineering. 433:117501

Témata: Multigrid methods, domain decomposition for boundary value problems involving PDEs, Physiology (general), BDDC preconditioners, Cardiac cell-by-cell models, Composite Discontinuous Galerkin methods, Scalable Domain Decomposition methods, composite discontinuous Galerkin methods, Numerical Analysis (math.NA), domain decomposition for initial value and initial-boundary value problems involving PDEs, scalable domain decomposition methods, FOS: Mathematics, cardiac cell-by-cell models, Preconditioners for iterative methods, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Mathematics - Numerical Analysis, 65N55, 65M55, 65F10, 92C30

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: http://arxiv.org/abs/2405.17601
https://zbmath.org/7967165
https://doi.org/10.1016/j.cma.2024.117501

Fully nonlinear investigation of focused wave slamming on a freely rotating flap

Autoři: Yong Cheng Gen Li Chunyan Ji a další

Zdroj: Engineering Analysis with Boundary Elements. 110:24-41

Témata: Boundary element methods for initial value and initial-boundary value problems involving PDEs, wave slamming, oscillating wave surge converter, HOBEM, Boundary element methods applied to problems in fluid mechanics, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, splash jet, fully nonlinear, focused wave, 0103 physical sciences, Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7153239
https://doi.org/10.1016/j.enganabound.2019.10.005
https://www.sciencedirect.com/science/article/pii/S0955799719306113

A non-overlapping optimization-based domain decomposition approach to component-based model reduction of incompressible flows

Autoři: Taddei T Xu X Zhang L a další

Přispěvatelé: Taddei T Xu X Zhang L a další

Zdroj: Journal of Computational Physics. 509:113038

Témata: optimization-based domain decomposition, [SPI] Engineering Sciences [physics], 0211 other engineering and technologies, [MATH] Mathematics [math], 02 engineering and technology, Numerical Analysis (math.NA), 01 natural sciences, 65N30, 41A45, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, component-based model order reduction, FOS: Mathematics, navier-stokes equations, non-overlapping methods, Mathematics - Numerical Analysis, Navier-Stokes equations, 0101 mathematics, Finite element methods applied to problems in fluid mechanics, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs, Flow control and optimization for incompressible viscous fluids

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: http://arxiv.org/abs/2310.20267
https://zbmath.org/8021004
https://doi.org/10.1016/j.jcp.2024.113038
https://inria.hal.science/hal-04382123v1
https://inria.hal.science/hal-04382123v1/document
https://doi.org/10.1016/j.jcp.2024.113038
https://hdl.handle.net/11573/1745039
https://doi.org/10.1016/j.jcp.2024.113038

A domain decomposition method for the non-intrusive reduced order modelling of fluid flow

Autoři: Claire Heaney Christopher C. Pain Ionel Michael Navon a další

Přispěvatelé: Claire Heaney Christopher C. Pain Ionel Michael Navon a další

Zdroj: Computer Methods in Applied Mechanics and Engineering. 354:307-330

Témata: Mathematics, Interdisciplinary Applications, NAVIER-STOKES, DYNAMICS, Technology, Navier-Stokes equations for incompressible viscous fluids, 0211 other engineering and technologies, Engineering, Multidisciplinary, TRANSIENT, 02 engineering and technology, Mechanics, Reduced order modelling, 01 natural sciences, 09 Engineering, Engineering, proper orthogonal decomposition, POLLUTION, 0103 physical sciences, Interdisciplinary Applications, PETROV-GALERKIN METHODS, Domain decomposition, non-intrusive, OPTIMIZATION, Non-intrusive, EQUATIONS, 01 Mathematical Sciences, Multidisciplinary, Science & Technology, reduced order modelling, Applied Mathematics, Proper orthogonal decomposition, SIMULATIONS, STATE, REDUCTION, domain decomposition, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, Physical Sciences, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Mathematics, Finite element methods applied to problems in fluid mechanics

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S0045782519303093
https://cronfa.swan.ac.uk/Record/cronfa51800
https://ui.adsabs.harvard.edu/abs/2019CMAME.354..307X/abstract
http://hdl.handle.net/10044/1/70185
https://cronfa.swan.ac.uk/Record/cronfa51800

A modular framework for implicit 3D–0D coupling in cardiac mechanics: A modular framework for implicit 3D-0D coupling in cardiac mechanics

Autoři: Aaron L. Brown Matteo Salvador Lei Shi a další

Zdroj: Computer Methods in Applied Mechanics and Engineering. 421:116764

Témata: cardiovascular modeling, Finite element methods applied to problems in solid mechanics, approximate Newton method, FOS: Physical sciences, Numerical Analysis (math.NA), Physiological flows, cardiac mechanics, 3D-0D coupling, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, Biological Physics (physics.bio-ph), FOS: Mathematics, Biomechanics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Mathematics - Numerical Analysis, Physics - Biological Physics, Biomechanical solid mechanics, multi-domain modeling

Popis souboru: application/xml

Přístupová URL adresa: https://pubmed.ncbi.nlm.nih.gov/38523716
http://arxiv.org/abs/2310.13780
https://zbmath.org/7824865
https://doi.org/10.1016/j.cma.2024.116764

A novel steepness-adjustable harmonic volume-of-fluid method for interface capturing

Autoři: Ni, Weidan Zeng, Qinghong Ruan, Yucang a další

Zdroj: Journal of Computational Physics. 501:112765

Témata: interface capturing scheme, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, steepness-adjustable harmonic scheme, Finite volume methods applied to problems in fluid mechanics, volume-of-fluid method

Popis souboru: application/xml

Analysis and design of a local time stepping scheme for LES acceleration in reactive and non-reactive flow simulations

Autoři: N. A., Sreejith Riber, Eleonore Cuenot, Bénédicte

Zdroj: Journal of Computational Physics. 470:111580

Témata: Mathematical modeling or simulation for problems pertaining to fluid mechanics, domain-decomposition, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, local time stepping, LES, 0103 physical sciences, explicit time integration, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, 01 natural sciences, spectral analysis, Finite element methods applied to problems in fluid mechanics

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7599613
https://doi.org/10.1016/j.jcp.2022.111580

Multiresolution schemes for conservation laws

Autoři: Siegfried Müller Wolfgang Dahmen Birgit Gottschlich-Müller

Zdroj: Multiscale, Nonlinear and Adaptive Approximation ISBN: 9783642034121

Témata: numerical examples, hypersonic flow, multiresolution schemes, hyperbolic conservation laws, Euler equations, wavelets, 01 natural sciences, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, Hyperbolic conservation laws, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Numerical methods for wavelets, 0101 mathematics, Hypersonic flows, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, finite volumes

Popis souboru: application/xml

Přístupová URL adresa: https://rd.springer.com/chapter/10.1007/978-3-642-03413-8_11
https://doi.org/10.1007/s211-001-8009-3
https://link.springer.com/chapter/10.1007/978-3-642-03413-8_11
https://core.ac.uk/display/36464172
https://dblp.uni-trier.de/db/journals/nm/nm88.html#DahmenGM01
https://publications.rwth-aachen.de/record/47114

Efficient preconditioning of the linearized Navier—Stokes equations for incompressible flow: Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow

Autoři: Silvester, David Elman, Howard Kay, David a další

Zdroj: Partial Differential Equations ISBN: 9780444506160
Silvester, D, Elman, H, Kay, D & Wathen, A 2001, 'Efficient proconditioning of the linearized Navier-Stokes equations for incompressible flow', Journal of Computational and Applied Mathematics, vol. 128, no. 1-2, pp. 261-279. https://doi.org/10.1016/S0377-0427(00)00515-X

Témata: multigrid iteration, linearized Navier-Stokes equations, Applied Mathematics, Navier-Stokes equations for incompressible viscous fluids, Incompressible flow, Preconditioning, 01 natural sciences, Navier–Stokes equations, convergence rate, Computational Mathematics, Multigrid iteration, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, preconditioning, pressure Poisson operator, scalar convection-diffusion operator, Navier-Stokes equations, 0101 mathematics, incompressible flow, operator splitting, Finite element methods applied to problems in fluid mechanics, multigrid V-cycle

Popis souboru: application/xml

Přístupová URL adresa: http://eprints.maths.manchester.ac.uk/632/1/sdarticle.pdf
https://research.manchester.ac.uk/en/publications/83ee3d98-c00a-472c-855c-8b54bccdcdfd
https://doi.org/10.1016/S0377-0427(00)00515-X
https://www.sciencedirect.com/science/article/pii/S037704270000515X
http://eprints.ma.man.ac.uk/632/
https://dialnet.unirioja.es/servlet/articulo?codigo=725185
http://eprints.maths.manchester.ac.uk/632/
https://www.cs.ox.ac.uk/publications/publication5893-abstract.html
https://drum.lib.umd.edu/handle/1903/1040