## Discrete maximum principles for the FEM solution of some nonlinear parabolic problems

István Faragó, János Karátson, and Sergey Korotov

### Abstract

Discrete maximum principles are established for finite element approximations of nonlinear parabolic problems. The conditions on the space and time discretizations are similar to the usual conditions for linear problems.

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### Key words

nonlinear parabolic problems, discrete maximum principle, finite element method

### AMS subject classifications

65M60, 65M50, 35B50