Optimal Convergence Rates for Elliptic Homogenization Problems in Nondivergence-Form: Analysis and Numerical Illustrations

DOI10.1137/20M137121XzbMath1475.35030arXiv2009.11259OpenAlexW3197456294MaRDI QIDQ5157693

Timo Sprekeler, Hung V. Tran

Publication date: 19 October 2021

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.11259

zbMATH Keywords

nonsmooth domainsperiodic homogenization

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (3)

Discontinuous Galerkin and C⁰-IP finite element approximation of periodic Hamilton–Jacobi–Bellman–Isaacs problems with application to numerical homogenization ⋮ On the Periodic Homogenization of Elliptic Equations in Nondivergence Form with Large Drifts ⋮ Homogenization of Nondivergence-Form Elliptic Equations with Discontinuous Coefficients and Finite Element Approximation of the Homogenized Problem

Uses Software

• FreeFem++

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