Error estimates for finite difference solutions of second-order elliptic equations in discrete Sobolev spaces

We derive a priori lp-estimates for nite difference solutions of second-order elliptic equations with continuous coefficients in the whole space. We shall mainly use the Fefferman-Stein theorem and discrete Sobolev inequalities to establish our purpose. Based on these lp-estimates, we obtain the convergence rate of the approximate solutions and their difference quotients in the sup norm.

Author dc:creator

• Doh, Hyun Soo

• Finite difference approximations
• lp error estimates

Language dc:language.iso

en_US

Repository record dc:identifier.uri

http://purl.umn.edu/141670

OAI identifier oai:identifier

oai:conservancy.umn.edu:11299/141670