Numerical artifacts in the Generalized Porous Medium Equation: Why harmonic averaging itself is not to blame
نویسندگان
چکیده
منابع مشابه
Numerical Methods with Interface Estimates for the Porous Medium Equation*
If the data has slightly more regularity, then this too is satisfied by the solution. Specifically, if m is no greater than two and u0 is Lipschitz continuous, then u( · , t) is also Lipschitz; if m is greater than two and (u 0 )x ∈ L(R), then (u( · , t))x ∈ L(R) (see [4]). (This will follow from results presented here, also.) We also use the fact that the solution u is Hölder continuous in t [...
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Xinming Zhang Chaoying Zhou Jiaqi Liu Ke’an Liu 1 Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen 518055, China 2 Professor, Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen 518055, China 3, 4 Professor, Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, China Email: [email protected],[email protected] ABSTRACT: In this ...
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ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2018
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2018.02.010