An invariant domain preserving arbitrary Lagrangian-Eulerian method for solving non-linear hyperbolic systems is developed.The numerical scheme is explicit in time and the approximation in space is done with continuou...An invariant domain preserving arbitrary Lagrangian-Eulerian method for solving non-linear hyperbolic systems is developed.The numerical scheme is explicit in time and the approximation in space is done with continuous finite elements.The method is made invar-iant domain preserving for the Euler equations using convex limiting and is tested on vari-ous benchmarks.展开更多
So, D is the weakly pseudoconvex domain. And D（K<sub>1</sub>,K<sub>2</sub>,…K<sub>p</sub>） is holomorphically equivalent to D（K<sub>1</sub>′,K<sub>2</sub&...So, D is the weakly pseudoconvex domain. And D（K<sub>1</sub>,K<sub>2</sub>,…K<sub>p</sub>） is holomorphically equivalent to D（K<sub>1</sub>′,K<sub>2</sub>′,…,K<sub>p</sub>′） if and only if p=p′, K<sub>j</sub>=K<sub>j</sub>′（j=1, 2,…p）.1. The full group of analytic automorphisms of D——Aut（D） consists of the following form if K<sub>j</sub>（j=1, 2,…p） are different from each展开更多
基金supported in part by a“Computational R&D in Support of Stockpile Stewardship”Grant from Lawrence Livermore National Laboratorythe National Science Foundation Grants DMS-1619892+2 种基金the Air Force Office of Scientifc Research,USAF,under Grant/contract number FA9955012-0358the Army Research Office under Grant/contract number W911NF-15-1-0517the Spanish MCINN under Project PGC2018-097565-B-I00
文摘An invariant domain preserving arbitrary Lagrangian-Eulerian method for solving non-linear hyperbolic systems is developed.The numerical scheme is explicit in time and the approximation in space is done with continuous finite elements.The method is made invar-iant domain preserving for the Euler equations using convex limiting and is tested on vari-ous benchmarks.
基金Project supported by the National Natural Science Foundation of China.
文摘So, D is the weakly pseudoconvex domain. And D（K<sub>1</sub>,K<sub>2</sub>,…K<sub>p</sub>） is holomorphically equivalent to D（K<sub>1</sub>′,K<sub>2</sub>′,…,K<sub>p</sub>′） if and only if p=p′, K<sub>j</sub>=K<sub>j</sub>′（j=1, 2,…p）.1. The full group of analytic automorphisms of D——Aut（D） consists of the following form if K<sub>j</sub>（j=1, 2,…p） are different from each
