Estimates in homogenization of higher-order elliptic operators

2015/12/07 by S. E. Pastukhova, Svetlana Pastukhova, Pastukhova, Svetlana · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Composite Material Mechanics #math.AP #msc:35J30

paper · pdf · doi:10.48550/arxiv.1512.02001

18 pages

arxiv created 2015/12/07 · arxiv updated 2015/12/08

Abstract

Operator-type estimates of homogenization are obtained for elliptic operators of arbitrary even order equal or greater than two. Operators under consideration are non-selfadjoint with lower-order terms.

Cited by

• A fourth-order multi-scale computational method and its convergence analysis for composite Kirchhoff plates with microscopic periodic configurations

Related

• Homogenization estimates for high order elliptic operators
• Improved homogenization estimates for high order elliptic systems
• Homogenization for non-self-adjoint locally periodic elliptic operators
• Homogenization for non-self-adjoint periodic elliptic operators on an infinite cylinder
• Homogenization of high order elliptic operators with periodic coefficients