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

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

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

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

Automatic quadrilateral and hexahedral finite element mesh generation: review of existing methods

Autoři: Valérie Mounoury Olivier Stab

Zdroj: Revue Européenne des Éléments Finis. 4:75-102

Témata: Multigrid methods, domain decomposition for boundary value problems involving PDEs, 0211 other engineering and technologies, automatic mesh generation, 02 engineering and technology, grids, 01 natural sciences, quadtrees, mapping techniques, node connection, feature recognition, domain decomposition for initial value and initial-boundary value problems involving PDEs, Research exposition (monographs, survey articles) pertaining to numerical analysis, iterative and recursive decomposition, mesh templates, conversion, 0101 mathematics, transitional meshing

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1200148
https://doi.org/10.1080/12506559.1995.10511161
https://www.tandfonline.com/doi/full/10.1080/12506559.1995.10511161

Numerical solving of incompressible Navier-Stokes equations using an original local multigrid refinement method

Autoři: Stéphane Vincent Jean-Paul Caltagirone

Zdroj: Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Astronomy. 328:73-80

Témata: square cavity, Navier-Stokes equations for incompressible viscous fluids, staggered grid, natural convection, Finite volume methods applied to problems in fluid mechanics, implicit finite volume method, quick schemes, 01 natural sciences, incompressible Navier-Stokes equations, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, centred scheme, Free convection, 0103 physical sciences, first-order Euler scheme, local multigrid method, 0101 mathematics

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1547524
http://ui.adsabs.harvard.edu/abs/2000CRASB.328...73V/abstract
https://www.sciencedirect.com/science/article/abs/pii/S1287462000884197

Computational optimization in solving the geodetic boundary value problems.

Autoři: Macák, Marek Čunderlík, Róbert Mikula, Karol a další

Zdroj: Discrete & Continuous Dynamical Systems - Series S; Mar2021, Vol. 14 Issue 3, p987-999, 13p

Témata: BOUNDARY value problems, FINITE volume method, PARTIAL differential equations, DOMAIN decomposition methods, GEODESICS

EXPONENTIAL ASYMPTOTIC STABILITY OF RIEMANN SHOCKS OF HYPERBOLIC SYSTEMS OF BALANCE LAWS.

Autoři: FAYE, GRÉGORY RODRIGUES, LUIS MIGUEL

Zdroj: SIAM Journal on Mathematical Analysis; 2023, Vol. 55 Issue 6, p6425-6456, 32p

Témata: EXPONENTIAL stability, BOUNDARY value problems, INITIAL value problems, EXPONENTIAL dichotomy

Model order reduction based on Laguerre orthogonal polynomials for parabolic equation constrained optimal control problems.

Autoři: Miao, Zhen Wang, Li Cheng, Gao-yuan a další

Zdroj: International Journal of Computer Mathematics; Mar2024, Vol. 101 Issue 3, p237-254, 18p

Témata: LAGUERRE polynomials, PONTRYAGIN'S minimum principle, INITIAL value problems, COST functions, ORDINARY differential equations, ORTHOGONAL polynomials

Domain decomposition and splitting methods for parabolic problems

Autoři: Gaiffe, Stéphanie Glowinski, Roland Masson, Roland

Témata: domain 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, 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, stability, mortar mixed finite element methods, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, parallel computation, parabolic problems, operator splitting schemes

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1573048

Construction of the balancing domain decomposition preconditioner for elastodynamic finite deformations problems

Autoři: Barboteu, Mikaël

Témata: numerical examples, preconditioner, Numerical computation of matrix norms, conditioning, scaling, finite element method, Nonlinear elasticity, Other numerical methods in solid mechanics, variational method, Neumann-Neumann domain decomposition, nonlinear elastostatics, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, additive Schwarz method, Nonlinear boundary value problems for linear elliptic equations, Numerical approximation of solutions of equilibrium problems in solid mechanics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, dynamic hyperelastic problems, Second-order nonlinear hyperbolic equations

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2138008

A critical assessment of the parabolized stability equations.

Autoři: Towne, Aaron Rigas, Georgios Colonius, Tim

Zdroj: Theoretical & Computational Fluid Dynamics; Aug2019, Vol. 33 Issue 3/4, p359-382, 24p

Témata: INITIAL value problems, BOUNDARY value problems, EQUATIONS, NAVIER-Stokes equations, MATHEMATICAL regularization

Energy-Based Distortion-Balancing Parameterization for Open Surfaces.

Autoři: Liu, Shu-Yung Yueh, Mei-Heng

Zdroj: SIAM Journal on Imaging Sciences; 2025, Vol. 18 Issue 4, p2059-2093, 35p

A discrete domain decomposition algorithm for the one dimensional wave equation

Autoři: Gander, Martin J. Halpern, Laurence

Témata: domain decomposition, convergence, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, Schwarz algorithm, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Wave equation, wave equation, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, nonconforming finite volume discretization

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1697753

Secondary imperfectivisation is reverbalisation.

Autoři: Arsenijević, Boban Milosavljević, Stefan Simonović, Marko

Zdroj: Morphology; Jun2025, Vol. 35 Issue 2, p271-304, 34p

Optimal Schwarz waveform relaxation for the one-dimensional wave equation

Autoři: Gander, Martin J. Halpern, Laurence

Témata: domain decomposition, Complexity and performance of numerical algorithms, PDEs with low regular coefficients and/or low regular data, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, Schwarz algorithm, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Wave equation, wave equation, wave propagation, Schwarz waveform relaxation, discontinuous coefficients, performance

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1672770

Méthodes de relaxation d'ondes (SWR) pour l'équation de la chaleur en dimension 1. (Optimized Schwarz waveform relaxation (SWR) for the one-dimensional heat equation)

Autoři: Gander, Martin J. Halpern, Laurence

Témata: Method of lines for initial value and initial-boundary value problems involving PDEs, domain decomposition, convergence, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, heat equation, Heat equation, semidiscretization, Schwarz waveform relaxation algorithms, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1981284

Revisiting the characteristic initial value problem for the vacuum Einstein field equations.

Autoři: Hilditch, David Valiente Kroon, Juan A. Zhao, Peng

Zdroj: General Relativity & Gravitation; Oct2020, Vol. 52 Issue 10, pN.PAG-N.PAG, 1p

Témata: INITIAL value problems, EINSTEIN field equations, VACUUM

Regional Groundwater Flow Modeling Using Improved Isogeometric Analysis: Application and Implications in Unconfined Aquifer Systems.

Autoři: Daneshmand, Farhang Adamowski, Jan Martel, Richard a další

Zdroj: Water Resources Management; Nov2023, Vol. 37 Issue 14, p5807-5827, 21p

Témata: GROUNDWATER flow, ISOGEOMETRIC analysis, COMPUTATIONAL geometry, ELLIPTIC differential equations, AQUIFERS

A simple approach to groundwater modelling with decomposition.

Alternate Title: Une approche simple de modélisation des eaux souterraines par décomposition. (French)

Autoři: Serrano, SergioE.

Zdroj: Hydrological Sciences Journal/Journal des Sciences Hydrologiques; Jan2013, Vol. 58 Issue 1, p177-185, 9p, 3 Diagrams, 6 Graphs

Témata: GROUNDWATER analysis, DECOMPOSITION method, SIMULATION methods & models, GROUNDWATER flow, GROUNDWATER pollution, WATER supply, GROUNDWATER quality

On global-in-time weak solutions to the magnetohydrodynamic system of compressible inviscid fluids.

Autoři: Eduard Feireisl Yang Li

Zdroj: Nonlinearity; Jan2020, Vol. 33 Issue 1, p1-1, 1p

Témata: INITIAL value problems, FLUIDS, MAGNETIC fields, MAGNETOHYDRODYNAMICS