On the role of boundary conditions for CIP stabilization of higher order finite elements

zbMath1172.65383MaRDI QIDQ836812

Friedhelm Schieweck

Publication date: 8 September 2009

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/130727

zbMATH Keywords

error estimatesfinite elementsnumerical experimentsGalerkin discretizationcontinuous interior penalty stabilizationdiffusion-convection-reaction equationNitsche type boundary conditions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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Stabilizing the convection-diffusion-reaction equation via local problems ⋮ First order least squares method with weakly imposed boundary condition for convection dominated diffusion problems ⋮ Modified weak Galerkin method with weakly imposed boundary condition for convection-dominated diffusion equations ⋮ A numerical method for singularly perturbed convection-diffusion-reaction equations on polygonal meshes ⋮ Robust numerical methods for singularly perturbed differential equations: a survey covering 2008-2012 ⋮ Nitsche-mortaring for singularly perturbed convection-diffusion problems ⋮ Error analysis of weak Galerkin finite element methods for time-dependent convection-diffusion equations ⋮ Minimal residual space-time discretizations of parabolic equations: asymmetric spatial operators ⋮ A Weak Galerkin Finite Element Method for Singularly Perturbed Convection-Diffusion--Reaction Problems ⋮ A family of non-conforming elements and the analysis of Nitsche's method for a singularly perturbed fourth order problem

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