A nonconforming combination of the finite element and volume methods with an anisotropic mesh refinement for a singularly perturbed convection-diffusion equation

DOI10.1090/S0025-5718-03-01516-3zbMath1024.65109MaRDI QIDQ4417155

Zi Cai Li, Songgui Wang

Publication date: 28 July 2003

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

stabilityGalerkin methodsingular perturbationfinite volume methodconvection-diffusion equationerror boundmesh refinementnonconforming finite element methodexponentially fitted finite volume method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Finite volume methods applied to problems in fluid mechanics (76M12) 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)

Related Items

Stability of a combined finite element - finite volume discretization of convection-diffusion equations, The finite element method with weighted basis functions for singularly perturbed convection-diffusion problems, A brief survey on numerical methods for solving singularly perturbed problems, Particular solutions of singularly perturbed partial differential equations with constant coefficients in rectangular domains. I: Convergence analysis., Accurate and approximate analytic solutions of singularly perturbed differential equations with two-dimensional boundary layers, Stability analysis for singularly perturbed differential equations by the upwind difference scheme, Error estimates for a finite element-finite volume discretization of convection-diffusion equations, ON CHAOTIC BEHAVIORS OF INCOMPRESSIBLE FLUID FLOWS IN TRIANGULAR DRIVEN CAVITIES

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