Finite difference approximations for partial differential equations with rapidly oscillating coefficients

DOI10.1051/m2an/1991250606931zbMath0755.65088OpenAlexW2285868398MaRDI QIDQ3984729

George S. Papanicolaou, Thomas Yizhao Hou, Marco Avellaneda

Publication date: 27 June 1992

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193645

zbMATH Keywords

consistencyhyperbolic problemsfinite differencerapidly oscillating coefficients

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods for boundary value problems involving PDEs (65N06) Initial value problems for second-order hyperbolic equations (35L15)

Related Items

A multiscale finite element method for elliptic problems in composite materials and porous media, Highly-oscillatory evolution equations with multiple frequencies: averaging and numerics, In memoriam: Marco Avellaneda (1955–2022), Numerical boundary corrector for elliptic equations with rapidly oscillating periodic coefficients, Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients, Numerical methods for elliptic partial differential equations with rapidly oscillating coefficients

Cites Work

• The diffusion limit for reversible jump processes on \(Z^ m\) with ergodic random bond conductivities
• Non-homogeneous media and vibration theory
• Particle Method Approximation of Oscillatory Solutions to Hyperbolic Differential Equations
• Solution of Interface Problems by Homogenization. II
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