A multiscale method for semilinear elliptic equations

DOI10.1016/j.jmaa.2008.03.069zbMath1144.65073OpenAlexW1969866959MaRDI QIDQ931006

Walter Allegretto, Peimin Chen, Yan Ping Lin

Publication date: 24 June 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.03.069

zbMATH Keywords

asymptotic expansionhomogenizationmultiscale methodperiodic microstructures

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

• Multiscale asymptotic expansion for second order parabolic equations with rapidly oscillating coefficients
• Nonlinear elliptic boundary-value problems in unbounded domains
• Numerical Homogenization of Nonlinear Random Parabolic Operators
• Numerical Homogenization of Monotone Elliptic Operators
• Numerical Homogenization and Correctors for Nonlinear Elliptic Equations
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