A coupled continuous-discontinuous FEM approach for convection diffusion equations

DOI10.1016/S0252-9602(11)60260-9zbMath1240.65340OpenAlexW2084193371MaRDI QIDQ655846

Peng Zhu, Zi-Qing Xie, S. Z. Zhou

Publication date: 27 January 2012

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(11)60260-9

zbMATH Keywords

stabilityconvergencenumerical resultsfinite element methodsuperconvergencea priori error estimatelocal discontinuous Galerkin methodconvection diffusion problems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

Supercloseness of the NIPG method for a singularly perturbed convection diffusion problem on Shishkin mesh ⋮ NIPG Method on Shishkin Mesh for Singularly Perturbed Convection–Diffusion Problem with Discontinuous Source Term ⋮ Supercloseness result of higher order FEM/LDG coupled method for solving singularly perturbed problem on S-type mesh ⋮ Higher order uniformly convergent continuous/discontinuous Galerkin methods for singularly perturbed problems of convection-diffusion type ⋮ Coupling of continuous and hybridizable discontinuous Galerkin methods: application to conjugate heat transfer problem ⋮ Higher order uniformly convergent NIPG methods for 1-d singularly perturbed problems of convection-diffusion type