Shishkin mesh simulation: a new stabilization technique for convection-diffusion problems

DOI10.1016/J.CMA.2012.12.001zbMath1352.65500arXiv1212.4321OpenAlexW1795293387MaRDI QIDQ502508

Bosco García-Archilla

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://arxiv.org/abs/1212.4321

zbMATH Keywords

Galerkin methodconvection-dominated problemsSUPG methodstabilized methodsfinite-element methods

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (4)

A numerical method for singularly perturbed convection-diffusion problems posed on smooth domains ⋮ Robust numerical methods for singularly perturbed differential equations: a survey covering 2008-2012 ⋮ On the numerical approximations of stiff convection-diffusion equations in a circle ⋮ A numerical algorithm to computationally solve the Hemker problem using Shishkin meshes

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