A Novel Least-Squares Finite Element Method Enriched with Residual-Free Bubbles for Solving Convection-Dominated Problems

DOI10.1137/090752407zbMath1216.65156OpenAlexW2064561253MaRDI QIDQ2998022

Po-Wen Hsieh, Suh-Yuh Yang

Publication date: 17 May 2011

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/090752407

zbMATH Keywords

Galerkin methodnumerical experimentsboundary and interior layersstabilized methodsresidual-free bubblesleast-squares finite element methodsconvection dominated convection-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 (6)

First order least squares method with weakly imposed boundary condition for convection dominated diffusion problems ⋮ Analysis of the small viscosity and large reaction coefficient in the computation of the generalized Stokes problem by a novel stabilized finite element method ⋮ Analysis of a new stabilized finite element method for the reaction-convection-diffusion equations with a large reaction coefficient ⋮ A stabilised finite element method for the convection-diffusion-reaction equation in mixed form ⋮ A new stabilized finite element method for advection-diffusion-reaction equations ⋮ A new stabilized linear finite element method for solving reaction-convection-diffusion equations

This page was built for publication: A Novel Least-Squares Finite Element Method Enriched with Residual-Free Bubbles for Solving Convection-Dominated Problems