Meyers type estimates for approximate solutions of nonlinear elliptic equations and their applications Academic Article

abstract

• In this paper we obtain Meyers type regularity estimates for approximate solutions of nonlinear elliptic equations. These estimates are used in the analysis of a numerical scheme obtained from a numerical homogenization of nonlinear elliptic equations. Numerical homogenization of nonlinear elliptic equations results in discretization schemes that require additional integrability of the approximate solutions. The latter motivates our work.

authors

• Efendiev, Yalchin

published proceedings

• DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

author list (cited authors)

• Efendiev, Y., & Pankov, A.

citation count

• 0

complete list of authors

• Efendiev, Yalchin||Pankov, Alexander

publication date

• May 2006

publisher

• American Institute of Mathematical Sciences (AIMS)  Publisher

published in

• Discrete and Continuous Dynamical Systems Series B: a journal bridging mathematics and sciences  Journal

keywords

• Elliptic
• Finite Element
• Nonlinear

Digital Object Identifier (DOI)

• 10.3934/dcdsb.2006.6.481

start page

• 481

end page

• 492

volume

• 6

issue

• 3

URL

• http://dx.doi.org/10.3934/dcdsb.2006.6.481