Analysis of a new stabilized finite element method for the reaction-convection-diffusion equations with a large reaction coefficient

DOI10.1016/j.cma.2012.07.018zbMath1352.65340OpenAlexW2057081926MaRDI QIDQ502479

Po-Wen Hsieh, Suh-Yuh Yang, Roger C. E. Tan, Huo-Yuan Duan

Publication date: 5 January 2017

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2012.07.018

zbMATH Keywords

finite element methodboundary layerstabilization methodinterior layerreaction-convection-diffusion equation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items

A stabilized element-free Galerkin method for the advection-diffusion-reaction problem, Analysis of the small viscosity and large reaction coefficient in the computation of the generalized Stokes problem by a novel stabilized finite element method, Variational multiscale element free Galerkin method for convection-diffusion-reaction equation with small diffusion, Semi-Lagrangian formulation for the advection-diffusion-absorption equation, A meshless method to the numerical solution of an inverse reaction–diffusion–convection problem, A robust WG finite element method for convection-diffusion-reaction equations, A new stabilized finite element method for advection-diffusion-reaction equations, A new stabilized linear finite element method for solving reaction-convection-diffusion equations, Virtual element method for the quasilinear convection-diffusion-reaction equation on polygonal meshes

Uses Software

• FreeFem++

Cites Work

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