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

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

Year:    2009

Author:    J. Karátson, S. Korotov

International Journal of Numerical Analysis and Modeling, Vol. 6 (2009), Iss. 1 : pp. 1–16

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2009-IJNAM-753

International Journal of Numerical Analysis and Modeling, Vol. 6 (2009), Iss. 1 : pp. 1–16

Published online:    2009-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

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

Author Details

J. Karátson

S. Korotov