Efficiency of approximate boundary conditions for corner domains coated with thin layers

DOI10.1016/j.crma.2004.12.011zbMath1061.65126OpenAlexW2039011669MaRDI QIDQ1764187

Grégory Vial

Publication date: 24 February 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.12.011

zbMATH Keywords

convergencenumerical resultsfinite element methodthin layerPoisson equationapproximate boundary conditionsmesh refinementinterface problem

Mathematics Subject Classification ID

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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (4)

Boundary layer analysis of nonlinear reaction-diffusion equations in a polygonal domain ⋮ Asymptotic expansions and effective boundary conditions: a short review for smooth and nonsmooth geometries with thin layers ⋮ BOUNDARY LAYERS FOR THE 3D PRIMITIVE EQUATIONS IN A CUBE: THE ZERO-MODE ⋮ Boundary layers for the subcritical modes of the 3D primitive equations in a cube

Cites Work

• A Singularly mixed boundary value problem
• The Effect of a Thin Coating on the Scattering of a Time-Harmonic Wave for the Helmholtz Equation
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