Hölder regularity for approximations of second order elliptic operators by Galerkin schemes

Details Hölder regularity for approximations of second order elliptic operators by Galerkin schemes Hölder regularity for approximations of second order elliptic operators by Galerkin schemes

2012-01-30

arxiv.org/abs/1201.6332v1

Mathematics

Analysis of PDEs

Scientific paper

We prove H\"older regularity estimates for approximate solutions of second
order elliptic equations obtained by Galerkin methods. The proofs rely on
interpolation results for Sobolev spaces on graphs. Estimates for second order
elliptic operators on rather general graphs are also obtained.

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