A nonconforming finite element method for a singularly perturbed boundary value problem

DOI10.1007/BF02238077zbMath0813.65105MaRDI QIDQ1343676

Dirk Adam, Hans-Goerg Roos, Andreas Felgenhauer, Martin Stynes

Publication date: 30 January 1995

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

uniform convergencesingular perturbationstwo-point boundary value problemsnonconforming Petrov- Galerkin finite element method

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15)

Related Items (6)

Viscous Equations Treated with $$\mathcal{L}$$ -Splines and Steklov-Poincaré Operator in Two Dimensions ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ Analysis of a combined barycentric finite volume---nonconforming finite element method for~nonlinear convection-diffusion problems ⋮ \(\mathcal L\)-splines and viscosity limits for well-balanced schemes acting on linear parabolic equations ⋮ Error estimates for barycentric finite volumes combined with nonconforming finite elements applied to nonlinear convection-diffusion problems. ⋮ Enhanced RFB method

Cites Work

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• An analytically oriented discretization technique for boundary value problems
• Global uniformly convergent schemes for a singularly perturbed boundary- value problem using patched base spline-functions
• A Globally Uniformly Convergent Finite Element Method for a Singularly Perturbed Elliptic Problem in Two Dimensions
• An Analysis of a Superconvergence Result for a Singularly Perturbed Boundary Value Problem
• Methods of constructing grid approximations for singularly perturbed boundary-value problems. Condensing-grid methods
• An Analysis of a Singularly Perturbed Two-Point Boundary Value Problem Using Only Finite Element Techniques

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