A finite element method for elliptic problems with rapidly oscillating coefficients

DOI10.1007/s10543-007-0117-0zbMath1118.65120OpenAlexW1993533603MaRDI QIDQ878211

Jun-Zhi Cui, Wen-ming He

Publication date: 26 April 2007

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-007-0117-0

zbMATH Keywords

finite element methodnumerical examplessecond-order elliptic problemsboundary correctordifferent meshes

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (9)

Superconvergence analysis of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients ⋮ Existence theory for rosseland equation and its homogenized equation ⋮ A new approximate method for second order elliptic problems with rapidly oscillating coefficients based on the method of multiscale asymptotic expansions ⋮ THE METHOD OF MULTISCALE ASYMPTOTIC EXPANSIONS FOR THE PROBLEM OF HEAT EXCHANGE IN COMPOSITE PLANE WALL WITH STATIONARY RANDOM FIELDS ⋮ Some numerical quadrature schemes of a non-conforming quadrilateral finite element ⋮ Numerical Methods for Constrained Elliptic Optimal Control Problems with Rapidly Oscillating Coefficients ⋮ Error estimate of the homogenization solution for elliptic problems with small periodic coefficients on \(L ^{\infty }(\Omega )\) ⋮ THE METHOD OF MULTI-SCALE ASYMPTOTIC EXPANSIONS AND ITS CORRESPONDING FINITE ELEMENT ALGORITHM FOR THE PROBLEM OF HEAT EXCHANGE IN COMPOSITE PLANE WALL ⋮ A new estimate for the homogenization method for second-order elliptic problem with rapidly oscillating periodic coefficients

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