Nodal superconvergence of SDFEM for singularly perturbed problems

DOI10.1007/s10915-011-9489-zzbMath1244.65109OpenAlexW2092347432MaRDI QIDQ421326

Zhimin Zhang, Fatih Celiker, Hui-Qing Zhu

Publication date: 23 May 2012

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-011-9489-z

zbMATH Keywords

singular perturbationnumerical exampleserror boundssuperconvergenceShishkin meshstreamline diffusion finite element method

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular perturbations for ordinary differential equations (34E15) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (9)

Analysis of the SDFEM for singularly perturbed differential-difference equations ⋮ Superconvergence analysis of Yee scheme for metamaterial Maxwell's equations on non-uniform rectangular meshes ⋮ Nodal superconvergence of the local discontinuous Galerkin method for singularly perturbed problems ⋮ Superconvergent postprocessing of the continuous Galerkin time stepping method for nonlinear initial value problems with application to parabolic problems ⋮ A robust adaptive grid method for a system of two singularly perturbed convection-diffusion equations with weak coupling ⋮ The highest superconvergence analysis of ADG method for two point boundary values problem ⋮ SDFEM for singularly perturbed boundary-value problems with two parameters ⋮ Uniform stability of the SUPG method for the evolutionary convection-diffusion-reaction equation ⋮ Superconvergence analysis for linear tetrahedral edge elements

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