Approximation of parabolic problems on grids locally refined in time and space

DOI10.1016/0168-9274(94)90026-4zbMath0811.65080OpenAlexW2092952643MaRDI QIDQ1330492

Richard E. Ewing, Raytcho D. Lazarov

Publication date: 2 May 1995

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(94)90026-4

zbMATH Keywords

finite difference methoddomain decompositionnumerical experimentsGalerkin finite element methodparabolic problemslocal refinementblock Gauss eliminationtwo-level preconditioned iterative method

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for second-order parabolic equations (35K15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items

Block-centered local refinement methods for the time-fractional equations, On wells modeling in filtration problems, Interpolation finite difference schemes on grids locally refined in time, Space‐time spectral element methods for unsteady convection‐diffusion problems, Block-centred finite difference methods on rectangular composite grids with refinement in space for parabolic equation

Cites Work

• Adaptive techniques for time-dependent problems
• Galerkin finite element methods for parabolic problems
• Adaptive mesh refinement for hyperbolic partial differential equations
• A generalized conjugate gradient, least square method
• A preconditioning technique for the efficient solution of problems with local grid refinement
• Finite difference schemes on grids with local refinement in time and space for parabolic problems. I: Derivation, stability, and error analysis
• A Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation
• Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem
• An a Posteriori Error Estimate and Adaptive Timestep Control for a Backward Euler Discretization of a Parabolic Problem
• Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• An Adaptive Finite Element Method for Initial-Boundary Value Problems for Partial Differential Equations
• Error Estimates for Adaptive Finite Element Computations
• Domain Decomposition Type Iterative Techniques for Parabolic Problems on Locally Refined Grids
• Finite Difference Scheme for Parabolic Problems on Composite Grids with Refinement in Time and Space
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item