Asymptotic Expansions for High-Contrast Scalar and Vectorial PDEs

DOI10.1137/20M1357937zbMath1478.35092OpenAlexW3205024524WikidataQ114074164 ScholiaQ114074164MaRDI QIDQ5164711

Yuri A. Kuznetsov, Yuliya Gorb

Publication date: 12 November 2021

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m1357937

zbMATH Keywords

asymptotic expansiondiffusion problemLamé systemhigh contrast

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Classical linear elasticity (74B05) Asymptotic expansions of solutions to PDEs (35C20) Boundary value problems for second-order elliptic systems (35J57)

Related Items (1)

A Robust Preconditioner for High-Contrast Problems (Research)

Cites Work

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• Gradient estimates for the perfect conductivity problem
• A large jump asymptotic framework for solving elliptic and parabolic equations with interfaces and strong coefficient discontinuities
• Asymptotic expansions for high-contrast linear elasticity
• Approximate method for solving an elliptic problem with discontinuous coefficients
• New homogenization method for diffusion equations
• Preconditioned iterative methods for diffusion problems with high‐contrast inclusions
• Preconditioned iterative methods for algebraic saddle-point problems
• ASYMPTOTIC EXPANSIONS FOR HIGH-CONTRAST ELLIPTIC EQUATIONS

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