A Meyers type regularity result for approximations of second order elliptic operators by P1 finite elements

作者：Badr Nadine; Russ Emmanuel^*

来源：Mathematische Nachrichten, 2014, 287(5-6): 498-517.

DOI：10.1002/mana.201200273

• Elliptic operators
• elliptic equations
• interpolation
• Holder regularity
• Sobolev spaces
• graphs
• Galerkin methods
• 35J15
• 46B70
• 65M60

We prove a Meyers type regularity estimate for approximate solutions of second order elliptic equations obtained by P1 finite elements. The proofs rely on interpolation results for Sobolev spaces on graphs. Estimates for second order elliptic operators on rather general graphs are also obtained.

• 出版日期2014-4