Discrete Maximum Principles for FEM Solutions of Some Nonlinear Elliptic Interface Problems

Author(s)

&

Abstract

Discrete maximum principles are proved for finite element discretizations of nonlinear elliptic interface problems with jumps of the normal derivatives. The geometric conditions in the case of simplicial meshes are suitable acuteness or nonobtuseness properties.

Keywords:

Nonlinear elliptic problem interface problem maximum principle discrete maximum principle finite element method simplicial mesh.
About this article

Abstract View

  • 31413

Pdf View

  • 3751