Entropy dissipative higher order accurate positivity preserving time-implicit discretizations for nonlinear degenerate parabolic equations
DOI10.1016/j.cam.2023.115674arXiv2301.01427MaRDI QIDQ6145196
J. J. W. van der Vegt, Yan Xu, Fengna Yan, Yinhua Xia
Publication date: 30 January 2024
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2301.01427
entropy dissipationnonlinear degenerate parabolic equationsDIRK methodsKKT limiterlocal discontinuous Galerkin discretizations
Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Degenerate parabolic equations (35K65) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Positive solutions to PDEs (35B09)
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