Finite element error estimates for nonlinear convective problems

DOI10.1515/JNMA-2015-0030zbMath1351.65066OpenAlexW2403022025MaRDI QIDQ325811

Václav Kučera

Publication date: 11 October 2016

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

Full work available at URL: https://doi.org/10.1515/jnma-2015-0030

zbMATH Keywords

finite element methodsemidiscretizationa priori error estimatescontinuationcontinuous mathematical inductionnonstationary nonlinear convective problem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Cites Work

• The finite element method with weighted basis functions for singularly perturbed convection-diffusion problems
• Some upwinding techniques for finite element approximations of convection-diffusion equations
• A priori estimates for the solution of convection-diffusion problems and interpolation on Shishkin meshes
• Analysis of semi-implicit DGFEM for nonlinear convection-diffusion problems on nonconforming meshes
• Robust Numerical Methods for Singularly Perturbed Differential Equations
• Finite Element Methods for Navier-Stokes Equations
• Error Estimates to Smooth Solutions of Runge--Kutta Discontinuous Galerkin Methods for Scalar Conservation Laws
• The Instructor’s Guide to Real Induction
• On diffusion-uniform error estimates for the DG method applied to singularly perturbed problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Finite element error estimates for nonlinear convective problems