A multiscale finite element method for partial differential equations posed in domains with rough boundaries

DOI10.1090/S0025-5718-08-02159-5zbMath1198.65229OpenAlexW2032863489MaRDI QIDQ3055082

Alexandre L. Madureira

Publication date: 7 November 2010

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

Full work available at URL: https://doi.org/10.1090/s0025-5718-08-02159-5

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (4)

A residual-free bubble formulation for nonlinear elliptic problems with oscillatory coefficients ⋮ A Multiscale Finite Element Method for Oscillating Neumann Problem on Rough Domain ⋮ A combined finite element method for elliptic problems posted in domains with rough boundaries ⋮ Multiscale methods for problems with complex geometry

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