Convergence Analysis of a Numerical Scheme for the Porous Medium Equation by an Energetic Variational Approach

DOI10.4208/nmtma.OA-2019-0073zbMath1463.65333arXiv1910.04578OpenAlexW2992502473MaRDI QIDQ5143938

Chun Liu, Chenghua Duan, Cheng Wang, Xing Ye Yue

Publication date: 14 January 2021

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.04578

zbMATH Keywords

porous medium equationenergetic variational approachoptimal rate convergence analysistrajectory equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Variational methods applied to PDEs (35A15) Degenerate parabolic equations (35K65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Soliton solutions (35C08) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

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