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Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling

Author

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  • Faragó, István
  • Karátson, János
  • Korotov, Sergey

Abstract

Discrete nonnegativity principles are established for finite element approximations of nonlinear parabolic PDE systems with mixed boundary conditions. Previous results of the authors are extended such that diagonal dominance (or essentially monotonicity) of the nonlinear coupling can be relaxed, allowing to include much more general situations in suitable models.

Suggested Citation

  • Faragó, István & Karátson, János & Korotov, Sergey, 2017. "Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 139(C), pages 37-53.
    • Handle: RePEc:eee:matcom:v:139:y:2017:i:c:p:37-53
    DOI: 10.1016/j.matcom.2016.03.015
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    Cited by:

    1. Song, Xiaona & Wang, Mi & Song, Shuai & Wang, Zhen, 2021. "Observer-based sliding mode control for stochastic hyperbolic PDE systems with quantized output signal," Applied Mathematics and Computation, Elsevier, vol. 393(C).

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