Finite Volume Superconvergence Approximation for One-Dimensional Singularly Perturbed Problems

DOI10.4208/jcm.1304-m4280zbMath1299.65152OpenAlexW1164081556MaRDI QIDQ4980517

Zhimin Zhang, Waixiang Cao, Qingsong Zou

Publication date: 30 June 2014

Published in: Journal of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/7f3a0b7d359f6b2c35ccfff8b943fe80b0b05b78

zbMATH Keywords

numerical resultssingular perturbationconvection-diffusion problemsuperconvergencefinite volume

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular perturbations for ordinary differential equations (34E15) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (7)

Is 2k-Conjecture Valid for Finite Volume Methods? ⋮ The Bogner-Fox-Schmit element finite volume methods on the Shishkin mesh for fourth-order singularly perturbed elliptic problems ⋮ An upwind finite volume element method on a Shishkin mesh for singularly perturbed convection-diffusion problems ⋮ Energy-norm and balanced-norm supercloseness error analysis of a finite volume method on Shishkin meshes for singularly perturbed reaction-diffusion problems ⋮ Superconvergent postprocessing of the continuous Galerkin time stepping method for nonlinear initial value problems with application to parabolic problems ⋮ Some recent advances on vertex centered finite volume element methods for elliptic equations ⋮ Analysis of a \(p\)-version finite volume method for 1D elliptic problems

This page was built for publication: Finite Volume Superconvergence Approximation for One-Dimensional Singularly Perturbed Problems