Error estimates of the discretization of linear parabolic equations on general nonconforming spatial grids

DOI10.1016/J.CRMA.2010.09.020zbMath1201.65167OpenAlexW2091670113MaRDI QIDQ609385

Jürgen Fuhrmann, Abdallah Bradji

Publication date: 30 November 2010

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2010.09.020

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (10)

An analysis of a second-order time accurate scheme for a finite volume method for parabolic equations on general nonconforming multidimensional spatial meshes ⋮ A full analysis of a new second order finite volume approximation based on a low-order scheme using general admissible spatial meshes for the unsteady one dimensional heat equation ⋮ Steady-state inhomogeneous diffusion with generalized oblique boundary conditions ⋮ Unnamed Item ⋮ A Convergence Result of a Linear SUSHI Scheme Using Characteristics Method for a Semi-linear Parabolic Equation ⋮ Some abstract error estimates of a finite volume scheme for a nonstationary heat equation on general nonconforming multidimensional spatial meshes. ⋮ Convergence Analysis of a Finite Volume Gradient Scheme for a Linear Parabolic Equation Using Characteristic Methods ⋮ An analysis for the convergence order of gradient schemes for semilinear parabolic equations ⋮ On the convergence and convergence order of finite volume gradient schemes for oblique derivative boundary value problems ⋮ Some Error Estimates for the Discretization of Parabolic Equations on General Multidimensional Nonconforming Spatial Meshes

Cites Work

• Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces

This page was built for publication: Error estimates of the discretization of linear parabolic equations on general nonconforming spatial grids