A finite difference discretization method for elliptic problems on composite grids
From MaRDI portal
Publication:1916051
DOI10.1007/BF02253460zbMath0868.65073MaRDI QIDQ1916051
A. A. Reusken, P. J. J. Ferket
Publication date: 5 August 1997
Published in: Computing (Search for Journal in Brave)
Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06)
Related Items
Maximum norm stability of difference schemes for parabolic equations on overset nonmatching space-time grids ⋮ Local defect correction in numerical simulation of surface remelting ⋮ Further analysis of the local defect correction method ⋮ An adaptive multilevel local defect correction technique with application to combustion ⋮ A finite volume scheme for solving elliptic boundary value problems on composite grids ⋮ On the monotonicity and discrete maximum principle of the finite difference implementation of \(C^0\)-\(Q^2\) finite element method
Cites Work
- Zur Inversmonotonie diskreter Probleme
- Finite volume methods with local refinement for convection-diffusion problems
- Further analysis of the local defect correction method
- Discrete maximum principle for finite-difference operators
- Local Refinement Techniques for Elliptic Problems on Cell-Centered Grids I. Error Analysis
- On the Accuracy of the Finite Volume Element Method for Diffusion Equations on Composite Grids
- Finite Difference Scheme for Parabolic Problems on Composite Grids with Refinement in Time and Space
- New Monotone Type Approximations for Elliptic Problems
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item