A Sparse Grid Discontinuous Galerkin Method for High-Dimensional Transport Equations and Its Application to Kinetic Simulations

DOI10.1137/16M1060017zbMath1353.82064arXiv1602.02124OpenAlexW2963412993MaRDI QIDQ2831081

Yingda Cheng, Wei Guo

Publication date: 2 November 2016

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.02124

zbMATH Keywords

Boltzmann equationsparse griddiscontinuous Galerkin methodsVlasov equationhigh-dimensional transport equations

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Transport processes in time-dependent statistical mechanics (82C70) Vlasov equations (35Q83) Boltzmann equations (35Q20)

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