Výsledky vyhledávání - domain decomposition for initial value and initial-boundary value problems involving des*

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

New techniques in designing finite-difference domain decomposition algorithm for the heat equation

Autoři: Bao-Lin Zhang Zheng-Su Wan

Zdroj: Computers & Mathematics with Applications. 45:1695-1705

Témata: numerical examples, finite-difference schemes, heat equation, Heat equation, Finite-difference scheme, Parallel computation, Parallel numerical computation, stability, algorithms, 01 natural sciences, domain decomposition, Computational Mathematics, Error bounds for initial value and initial-boundary value problems involving PDEs, Computational Theory and Mathematics, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, error estimates, Modelling and Simulation, Finite difference methods for initial value and initial-boundary value problems involving PDEs, 0103 physical sciences, interface grid points, Domain decomposition, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, parallel computation, Saul'yev schemes

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2082291
https://doi.org/10.1016/s0898-1221(03)80126-8
https://www.sciencedirect.com/science/article/pii/S0898122103801268

Review of Physics-Informed Neural Networks: Challenges in Loss Function Design and Geometric Integration.

Autoři: Plankovskyy, Sergiy Tsegelnyk, Yevgen Shyshko, Nataliia a další

Zdroj: Mathematics (2227-7390); Oct2025, Vol. 13 Issue 20, p3289, 51p

Témata: PARTIAL differential equations, BOUNDARY value problems, INTEGRALS, SIMULATION software, ENGINEERING models, COST functions, MACHINE learning

2次元静磁場問題のNon-overlapping型領域分割法に基づくPINN. (Japanese)

Alternate Title: Physics-Informed Neural Network based on Non-overlapping Domain Decomposition Methods for Two-Dimensional Magnetostatic Field Problems. (English)

Autoři: 荻野正雄

Zdroj: Transactions of the Japan Society for Computational Engineering & Science; 2024, Vol. 2024, p1-10, 10p

Témata: FINITE element method, PARTIAL differential equations, INITIAL value problems, BOUNDARY value problems, MAGNETIC fields

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

The computation of transient 2-D eddy current problem by domain decomposition algorithms

Autoři: V.V. Sirotkin J. D. Lavers Igor Boglaev

Zdroj: Mathematical and Computer Modelling. 21:39-51

Témata: convergence, parallel computing, Parallel numerical computation, 01 natural sciences, transient eddy current problem, Computer Science Applications, domain decomposition, Applications to the sciences, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, Electromagnetic theory (general), Modelling and Simulation, 0103 physical sciences, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, numerical experiments, PDEs in connection with optics and electromagnetic theory, time discretization

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/0895717794002138

Analysis of Finite Element Methods and Domain Decomposition Algorithms for a Fluid-Solid Interaction Problem: Analysis of finite element methods and domain decomposition algorithms for a fluid-solid interaction problem

Autoři: Xiaobing Feng

Zdroj: SIAM Journal on Numerical Analysis. 38:1312-1336

Témata: optimal order a priori estimates, finite element Galerkin approximations, Finite element methods applied to problems in solid mechanics, parallelizable domain decomposition algorithms, elastic waves, Hydro- and aero-acoustics, acoustic waves, 01 natural sciences, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), fluid-solid interaction model, interface conditions, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, absorbing boundary condition, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, boundary duality argument, 0101 mathematics, Finite element methods applied to problems in fluid mechanics

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1578985
https://doi.org/10.1137/s0036142999361529

A Local Space-Time Adaptive Scheme in Solving Two-Dimensional Parabolic Problems Based on Domain Decomposition Methods: A local space-time adaptive scheme in solving two-dimensional parabolic problems based on domain decomposition methods

Autoři: Hongyi Yu

Zdroj: SIAM Journal on Scientific Computing. 23:304-322

Témata: domain decomposition, Error bounds for initial value and initial-boundary value problems involving PDEs, extrapolation methods, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, finite element, Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs, Nonlinear parabolic equations, adaptive mesh refinement, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, error estimate, 0101 mathematics, multiplicative Schwarz algorithm, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://epubs.siam.org/doi/abs/10.1137/S1064827500315360
https://doi.org/10.1137/S1064827500315360
https://dblp.uni-trier.de/db/journals/siamsc/siamsc23.html#Yu01

Solving the coupled Gerdjikov–Ivanov equation via Riemann–Hilbert approach on the half line.

Autoři: Hu, Jiawei Dong, Huanhe Zhang, Ning

Zdroj: Scientific Reports; 8/21/2025, Vol. 15 Issue 1, p1-30, 30p

Témata: RIEMANN-Hilbert problems, INITIAL value problems, PARTIAL differential equations, BOUNDARY value problems, SOLITONS, EIGENVALUES

Solving parabolic problems with different time steps in different regions in space based on domain decomposition methods

Autoři: Hongyi Yu

Zdroj: Applied Numerical Mathematics. 30:475-491

Témata: mixed initial-boundary value problems, numerical examples, systems of nonlinear parabolic equations, 01 natural sciences, extrapolation methods, overlapping domain decomposition, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, Nonlinear parabolic equations, finite element methods, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, 0101 mathematics, multiplicative Schwarz algorithm, local adaptivity, parallel computation

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1311348
https://doi.org/10.1016/s0168-9274(98)00092-0
https://www.sciencedirect.com/science/article/pii/S0168927498000920

Convergence analysis of domain decomposition algorithms with full overlapping for the advection-diffusion problems: Convergence analysis of domain decomposition algorithms with full overlapping for the advec\-tion-diffusion problems

Autoři: Moulay D. Tidriri P. Le Tallec

Zdroj: Mathematics of Computation. 68:585-607

Témata: Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, 0101 mathematics, 01 natural sciences, Finite element methods applied to problems in fluid mechanics

Popis souboru: application/xml

Přístupová URL adresa: https://www.ams.org/mcom/1999-68-226/S0025-5718-99-01030-3/S0025-5718-99-01030-3.pdf
https://www.mendeley.com/catalogue/b5c3a4b4-5bed-3852-a6b8-30a4abc9ba77/
https://www.ams.org/journals/mcom/1999-68-226/S0025-5718-99-01030-3/home.html
https://dblp.uni-trier.de/db/journals/moc/moc68.html#TallecT99
https://hal.inria.fr/inria-00074239
https://www.ams.org/mcom/1999-68-226/S0025-5718-99-01030-3/S0025-5718-99-01030-3.pdf
http://ui.adsabs.harvard.edu/abs/1999MaCom..68..585L/abstract

Schwarz alternating method based on natural boundary reduction for time‐dependent problems on unbounded domains: Schwarz alternating method based on natural boundary reduction for time-dependent problems on unbounded domains

Autoři: Dehao Yu Qi-Kui Du

Zdroj: Communications in Numerical Methods in Engineering. 20:363-378

Témata: two-dimensional exterior problem, numerical examples, parabolic equations, 01 natural sciences, natural boundary reduction, domain decomposition, boundary element, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, finite element, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Initial value problems for second-order parabolic equations, 0101 mathematics, unbounded domains, Schwarz alternating method

Popis souboru: application/xml

Přístupová URL adresa: https://onlinelibrary.wiley.com/doi/abs/10.1002/cnm.672
https://onlinelibrary.wiley.com/doi/10.1002/cnm.672/abstract
http://onlinelibrary.wiley.com/doi/10.1002/cnm.672/abstract

A new approach to design high-order schemes

Autoři: Liu Ruxun Wang Jin

Zdroj: Journal of Computational and Applied Mathematics. 134:59-67

Témata: Applied Mathematics, High-order scheme, advection equation, 01 natural sciences, finite difference schemes, method of undetermined coefficient, Computational Mathematics, numerical tests, 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, 0103 physical sciences, multi-level method, MPDE, Initial value problems for first-order hyperbolic systems, 0101 mathematics, Undetermined coefficients

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1659473
https://doi.org/10.1016/s0377-0427(00)00528-8
https://www.sciencedirect.com/science/article/pii/S0377042700005288
http://ui.adsabs.harvard.edu/abs/2001JCoAM.134...59W/abstract
https://www.sciencedirect.com/science/article/abs/pii/S0377042700005288
https://dialnet.unirioja.es/servlet/articulo?codigo=725349

Application of domain decomposition techniques in large-scale fluid flow problems

Autoři: Richard E. Ewing

Zdroj: Applied Numerical Mathematics. 8:375-388

Témata: domain decomposition, composite grids, Other numerical methods (fluid mechanics), Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, multiphase flow, mesh refinement, Multiphase and multicomponent flows

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/28405
https://doi.org/10.1016/0168-9274(91)90075-b
https://www.sciencedirect.com/science/article/abs/pii/016892749190075B

Non-overlapping domain decomposition for evolution operators

Autoři: Olivier Pironneau Jacques-Louis Lions

Zdroj: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 330:943-950

Témata: domain decomposition, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, non-overlapping subdomains, finite element method, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Parallel numerical computation, Initial value problems for second-order parabolic equations, 0101 mathematics, parallel computation, evolution problems, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1488644
https://doi.org/10.1016/s0764-4442(00)00296-2
https://www.ljll.math.upmc.fr/pironneau/publi/publications/jlop6.pdf
http://ui.adsabs.harvard.edu/abs/2000CRASM.330..943L/abstract
https://www.sciencedirect.com/science/article/pii/S0764444200002962
http://www.ljll.math.upmc.fr/pironneau/publi/publications/jlop6.pdf

An algebraic 2‐level domain decomposition preconditioner with applications to the compressible Euler equations: An algebraic 2-level domain decomposition preconditioner with applications to the compressible Euler equations

Autoři: Marzio Sala

Zdroj: International Journal for Numerical Methods in Fluids. 40:1551-1560

Témata: domain decomposition, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, Schwarz-type preconditioner, Basic methods in fluid mechanics, Gas dynamics (general theory), 0101 mathematics, 01 natural sciences, compressible Euler equations

Popis souboru: application/xml

Přístupová URL adresa: https://ui.adsabs.harvard.edu/abs/2002IJNMF..40.1551S/abstract
https://infoscience.epfl.ch/record/102939

Overlapping domain decomposition of evolution operators

Autoři: Jacques-Louis Lions Olivier Pironneau

Zdroj: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 330:937-942

Témata: overlapping domain decomposition, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, finite element method, 0103 physical sciences, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Parallel numerical computation, Initial value problems for second-order parabolic equations, 0101 mathematics, parallel computation, evolution problems, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1488643
https://doi.org/10.1016/s0764-4442(00)00295-0
https://www.ljll.math.upmc.fr/pironneau/publi/publications/jlop5.pdf
http://ui.adsabs.harvard.edu/abs/2000CRASM.330..937L/abstract
https://www.sciencedirect.com/science/article/abs/pii/S0764444200002950

Adaptive multigrid and domain decomposition methods in the computation of electromagnetic fields

Autoři: Hoppe, Ronald H. W.

Zdroj: Journal of Computational and Applied Mathematics. 168:245-254

Témata: ddc:510, Applied Mathematics, Electromagnetic field computation, Multigrid methods, 01 natural sciences, a posteriori error estimation, Technical applications of optics and electromagnetic theory, Edge elements, edge elements, Computational Mathematics, A posteriori error estimation, Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory, domain decomposition for initial value and initial-boundary value problems involving PDEs, electromagnetic fields computations, Electromagnetic theory (general), Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs, multigrid method, Domain decomposition, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, 0101 mathematics, domain decomposition method

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: https://core.ac.uk/display/82029780
https://dl.acm.org/doi/10.1016/j.cam.2003.05.023
https://www.sciencedirect.com/science/article/pii/S037704270300983X

NONUNIFORM GRIDS FOR REDUCED BASIS DESIGN OF LOW ORDER FEEDBACK CONTROLLERS FOR NONLINEAR CONTINUOUS SYSTEMS: Nonuniform grids for reduced basis design of low order feedback controllers for nonlinear continuous systems

Autoři: Belinda B. King

Zdroj: Mathematical Models and Methods in Applied Sciences. :1223-1241

Témata: low-order feedback control, elastic cable, 0209 industrial biotechnology, nodal placement, Control/observation systems governed by partial differential equations, Control, switches and devices (''smart materials') in solid mechanics, Kelvin-Voigt dashpot damping hypothesis, 02 engineering and technology, systems with distributed parameters, finite element approximation, grid, 01 natural sciences, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, non-uniform grids, low-order splines, 0101 mathematics

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1366209
https://doi.org/10.1142/s0218202598000561
https://www.worldscientific.com/doi/pdf/10.1142/S0218202598000561

Schwarz domain decomposition for the incompressible Navier-Stokes equations in general co-ordinates

Autoři: P. Wesseling E. Brakkee C. G. M. Kassels

Zdroj: International Journal for Numerical Methods in Fluids. 32:141-173

Témata: boundary-fitted co-ordinates, block-structured approach, Navier-Stokes equations for incompressible viscous fluids, staggered grid, Finite volume methods applied to problems in fluid mechanics, 16. Peace & justice, fast vectorized iterative methods, Schwarz domain decomposition, incompressible Navier-Stokes equations, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, GMRES Krylov subspace method, convergence acceleration, pressure-correction technique, finite volumes

Popis souboru: application/xml

Přístupová URL adresa: http://ui.adsabs.harvard.edu/abs/2000IJNMF..32..141B/abstract