A Finite Volume Scheme for Nonlinear Degenerate Parabolic Equations
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Publication:4903745
DOI10.1137/110853807zbMath1273.65114arXiv1111.1092OpenAlexW2039770548MaRDI QIDQ4903745
Marianne Bessemoulin-Chatard, Francis Filbet
Publication date: 24 January 2013
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1111.1092
finite volume methodFokker-Planck equationlong-time behaviorsemiconductorsporous media equationBuckley-Leverett equationdrift-diffusion systemparabolic degenerate models
Nonlinear parabolic equations (35K55) Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) Degenerate parabolic equations (35K65) Statistical mechanics of semiconductors (82D37) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Fokker-Planck equations (35Q84)
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