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

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 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 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 non-overlapping domain decomposition method for parabolic initial-boundary value problems

Autoři: H. Müller Gert Lube F. C. Otto

Zdroj: Applied Numerical Mathematics. 28:359-369

Témata: numerical examples, 0209 industrial biotechnology, convergence, parabolic initial boundary value problems, 02 engineering and technology, 01 natural sciences, Reaction-diffusion equations, non-overlapping domain decomposition method, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, advection-reaction-diffusion model, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Galerkin method

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1311281
https://doi.org/10.1016/s0168-9274(98)00053-1
https://www.sciencedirect.com/science/article/pii/S0168927498000531

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

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

A domain decomposition and mixed method for a linear parabolic boundary value problem

Autoři: Girault, Vivette Glowinski, Roland Lopez, H. a další

Přispěvatelé: Girault, Vivette Glowinski, Roland Lopez, H. a další

Zdroj: IMA Journal of Numerical Analysis. 24:491-520

Témata: convergence, mixed methods, non-matching grids, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], quadrilateral finite elements, 01 natural sciences, linear parabolic boundary value problem, 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, error estimates, Initial-boundary value problems for second-order parabolic equations, inf-sup condition, 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, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs

Popis souboru: application/xml

Přístupová URL adresa: https://hal.science/hal-00020218v1
https://zbmath.org/2124456
https://doi.org/10.1093/imanum/24.3.491
https://academic.oup.com/imajna/article/24/3/491/702197

Multi-level adaptive solutions to initial-value problems

Autoři: A. B. Shamardan Y. M. Abo Essa

Zdroj: Korean Journal of Computational & Applied Mathematics. 7:215-222

Témata: KdV equations (Korteweg-de Vries equations), Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, finite difference, Finite difference methods for initial value and initial-boundary value problems involving PDEs, nonlinear Burgers' equations, multigrid algorithm, stability, numerical results, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1419903
https://link.springer.com/article/10.1007/BF03009939

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

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

Solution-Based Grid Adaptation through Segmented Multigrid Domain Decomposition: Solution-based grid adaptation through segmented multigrid domain decomposition

Autoři: Stanley G. Rubin Kumar Srinivasan

Zdroj: Journal of Computational Physics. 136:467-493

Témata: Multigrid methods, domain decomposition for boundary value problems involving PDEs, global pressure relaxation, implicit lowest-order reduced Navier-Stokes system, convergent-divergent nozzle, mass conservation, turbulent flows, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics, 01 natural sciences, Finite difference methods applied to problems in fluid mechanics, domain decomposition for initial value and initial-boundary value problems involving PDEs, laminar flows, right-angled bend duct, 0103 physical sciences, pressure flux splitting-based discretization, two-dimensional inlet, \(S\)-shaped duct

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S0021999197957740
http://ui.adsabs.harvard.edu/abs/1997JCoPh.136..467S/abstract

Preconditioners for the pressure-correction method applied to the unsteady stokes problem: Preconditioners for the pressure-correction method applied to the unsteady Stokes problem

Autoři: Asghar Kerayechian Navid Ghahreman

Zdroj: Journal of Applied Mathematics and Computing. 16:307-321

Témata: Iterative numerical methods for linear systems, Other numerical methods (fluid mechanics), Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, 0101 mathematics, 01 natural sciences, Stokes and related (Oseen, etc.) flows

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2111259
https://doi.org/10.1007/bf02936171
https://link.springer.com/article/10.1007%2FBF02936171
https://profdoc.um.ac.ir/paper-abstract-201541.html

Unsteady convection and convection-diffusion problems via direct overlapping domain decomposition methods

Autoři: F. K. Hebeker Yu. A. Kuznetsov

Zdroj: Numerical Methods for Partial Differential Equations. 14:387-406

Témata: unsteady convection, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, direct overlapping domain decomposition, Initial value problems for second-order parabolic equations, convection diffusion problems, numerical experiments

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1281320
https://doi.org/10.1002/(sici)1098-2426(199805)14:3<387::aid-num7>3.0.co;2-i
https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1002%2F(SICI)1098-2426(199805)14:3%3C387::AID-NUM7%3E3.0.CO;2-I
http://doi.wiley.com/10.1002/%28SICI%291098-2426%28199805%2914%3A3%3C387%3A%3AAID-NUM7%3E3.0.CO%3B2-I

a domain decomposition method based on natural boundary reduction for nonlinear time dependent exterior wave problems: A domain decomposition method based on natural boundary reduction for nonlinear time-dependent exterior wave problems

Autoři: Dehao Yu Q. Du

Zdroj: Computing. 68(2):111-129

Témata: domain decomposition, convergence, algorithm, nonlinear wave equations, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, Numerical computation of solutions to systems of equations, finite element method, iterative Schwarz alternating scheme, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, numerical results, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, exterior domain, Second-order nonlinear hyperbolic equations

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1751389
https://doi.org/10.1007/s00607-001-1432-y
https://dblp.uni-trier.de/db/journals/computing/computing68.html#DuY02
https://doi.org/10.1007/s00607-001-1432-y
https://rd.springer.com/article/10.1007/s00607-001-1432-y
https://link.springer.com/article/10.1007/s00607-001-1432-y

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

Iterative domain decomposition algorithms for the solution of singularly perturbed parabolic problems

Autoři: V.V. Sirotkin Igor Boglaev

Zdroj: Computers & Mathematics with Applications. 31:83-100

Témata: Parallel computing, numerical test examples, singularly perturbed parabolic problems, 01 natural sciences, iterative domain decomposition algorithms, Computational Mathematics, Time discretization, Computational Theory and Mathematics, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, Modelling and Simulation, Singularly perturbed parabolic problem, Domain decomposition method, Initial value problems for second-order parabolic equations, 0101 mathematics, parallel computation, Singular perturbations in context of PDEs

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/915136
https://doi.org/10.1016/0898-1221(96)00054-5
https://core.ac.uk/display/82749628
https://www.sciencedirect.com/science/article/pii/0898122196000545

Domain decomposition in boundary layers for singularly perturbed problems

Autoři: Igor Boglaev

Zdroj: Applied Numerical Mathematics. 34:145-166

Témata: Finite difference methods for boundary value problems involving PDEs, Multigrid methods, domain decomposition for boundary value problems involving PDEs, convergence, Shishkin mesh, Stability and convergence of numerical methods for boundary value problems involving PDEs, numerical results, boundary layers, 01 natural sciences, Boundary value problems for second-order elliptic equations, domain decomposition for initial value and initial-boundary value problems involving PDEs, finite difference domain decomposition algorithms, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Initial value problems for second-order parabolic equations, singular perturbations, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Singular perturbations in context of PDEs

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S0168927499001245

Domain decomposition for a non‐smooth convex minimization problem and its application to plasticity: Domain decomposition for a non-smooth convex minimization problem and its application to plasticity

Autoři: Carsten Carstensen

Zdroj: Numerical Linear Algebra with Applications. 4:177-190

Témata: Convex programming, Multigrid methods, domain decomposition for boundary value problems involving PDEs, elastoplasticity, Numerical methods for partial differential equations, boundary value problems, variational inequality, Other numerical methods in solid mechanics, 16. Peace & justice, domain decomposition, domain decomposition for initial value and initial-boundary value problems involving PDEs, Unilateral problems, variational inequalities (elliptic type), plasticity with hardening, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, convex minimization, Schwarz alternating method

Popis souboru: application/xml

Přístupová URL adresa: http://www2.mathematik.hu-berlin.de/%7Ecc/cc_homepage/download/1997-CC-Domain_Decomposition_Nonsmooth_Convex_Minimization.pdf
https://zbmath.org/1138069
https://doi.org/10.1002/(sici)1099-1506(199705/06)4:3<177::aid-nla106>3.0.co;2-b
https://dblp.uni-trier.de/db/journals/nla/nla4.html#Carstensen97
https://www.math.hu-berlin.de/~cc/cc_homepage/download/1997-CC-Domain_Decomposition_Nonsmooth_Convex_Minimization.pdf
https://onlinelibrary.wiley.com/doi/10.1002/(SICI)1099-1506(199705/06)4:3%3C177::AID-NLA106%3E3.0.CO;2-B

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

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