Finite element analysis of exponentially fitted lumped schemes for time- dependent convection-diffusion problems

DOI10.1007/BF01385702zbMath0791.65076OpenAlexW2055532857MaRDI QIDQ1326497

Wen Guo, Martin Stynes

Publication date: 7 July 1994

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133767

zbMATH Keywords

numerical resultserror boundslinear parabolic initial-boundary value problemexponential fitted schemesPetrov-Galerkin finite element methods

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for second-order parabolic equations (35K15)

Related Items (9)

Finite element analysis of an exponentially fitted non-lumped scheme for advection-diffusion equations ⋮ Finite Element Analysis for Mass-Lumped Three-Step Taylor Galerkin Method for Time Dependent Singularly Perturbed Problems with Exponentially Fitted Splines ⋮ 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 brief survey on numerical methods for solving singularly perturbed problems ⋮ Interpolated coefficient characteristic finite element method for semilinear convection-diffusion optimal control problems ⋮ A domain decomposition Taylor Galerkin finite element approximation of a parabolic singularly perturbed differential equation ⋮ Another uniform convergence analysis technique of some numerical methods for parabolic singularly perturbed problems ⋮ Higher-order time accurate numerical methods for singularly perturbed parabolic partial differential equations

Cites Work

• Unnamed Item
• Pointwise error estimates for a streamline diffusion finite element scheme
• Numerical methods for time-dependent convection-diffusion equations
• Uniformly convergent difference schemes for singularly perturbed parabolic diffusion-convection problems without turning points
• Second-order linear parabolic equations with a small parameter
• Some Improved Error Estimates for the Modified Method of Characteristics
• Discretization of a convection-diffusion equation
• An Adaptive Uniformly Convergent Numerical Method for a Semilinear Singular Perturbation Problem
• An Analysis of a Singularly Perturbed Two-Point Boundary Value Problem Using Only Finite Element Techniques

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