A convergent Lagrangian discretization for a nonlinear fourth-order equation

DOI10.1007/s10208-015-9284-6zbMath1384.65067arXiv1410.1728OpenAlexW1929982222MaRDI QIDQ525600

Daniel Matthes, Horst Osberger

Publication date: 5 May 2017

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.1728

zbMATH Keywords

convergenceWasserstein metricnumerical experimentsgradient flowsemiconductorsinitial and boundary value problemLagrangian discretizationquantum drift diffusion

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Statistical mechanics of semiconductors (82D37) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22) PDEs in connection with statistical mechanics (35Q82) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

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