Finite Element Analysis for Mass-Lumped Three-Step Taylor Galerkin Method for Time Dependent Singularly Perturbed Problems with Exponentially Fitted Splines

DOI10.1080/01630563.2012.658484zbMath1366.74076OpenAlexW2020143564MaRDI QIDQ2895682

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Publication date: 4 July 2012

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2012.658484

zbMATH Keywords

error estimatesfinite element methoduniform convergenceboundary layersingularly perturbedTaylor-Galerkin methodexponentially fitted splinesmass-lumped

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite element methods applied to problems in solid mechanics (74S05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (6)

Convergence of Three-Step Taylor Galerkin Finite Element Scheme Based Monotone Schwarz Iterative Method for Singularly Perturbed Differential-Difference Equation ⋮ A finite element domain decomposition approximation for a semilinear parabolic singularly perturbed differential equation ⋮ A parameter‐uniform scheme for singularly perturbed partial differential equations with a time lag ⋮ A domain decomposition Taylor Galerkin finite element approximation of a parabolic singularly perturbed differential equation ⋮ Finite element methods: research in India over the last decade ⋮ Shishkin mesh based septic Hermite interpolation algorithm for time-dependent singularly perturbed convection-diffusion models

Cites Work

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• \(L^ 1\) and \(L^{\infty}\) uniform convergence of a difference scheme for a semilinear singular perturbation problem
• Uniformly convergent difference schemes for singularly perturbed parabolic diffusion-convection problems without turning points
• Finite element analysis of exponentially fitted lumped schemes for time- dependent convection-diffusion problems
• A uniformly convergent scheme on a nonuniform mesh for convection-diffusion parabolic problems
• A Taylor-Galerkin method for convective transport problems
• Approximation of the solutions of singularly perturbed boundary-value problems with a parabolic boundary layer
• The analysis of unsteady incompressible flows by a three‐step finite element method
• Difference schemes for hyperbolic equations with high order of accuracy

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