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

Authors

  • J. Karátson
  • S. Korotov

Keywords:

Nonlinear elliptic problem, interface problem, maximum principle, discrete maximum principle, finite element method, simplicial mesh.

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.

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Published

2009-06-01

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Issue

Vol. 6 No. 1 (2009)

Section

Articles