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- W2552654113 abstract "We give an energy stability analysis of a rst order, 2 step partitioned time dis- cretization of systems of evolution equations. The method requires only uncoupled solutions of sub-systems at every time step without iteration, is long time stable and applies to general system couplings. We give a proof of long time energy stability under a time step restriction relating the time step to the size of the coupling terms. The most natural approach to numerical simulation of multi-domain, multi- physics systems is to build a partitioned method for the system from components optimized for the individual sub-domain and sub-physics problems. The two most common approaches to partitioning are implicit-explicit methods where the sys- tem's' coupling terms are discretized by explicit methods and sub-domain/sub- physics terms by implicit methods, and splitting methods where the coupling terms are themselves separated in each equation according to the subproblems. Appli- cation of either to complex problems requires analytic foundations as a guide for practical computation. Herein, we consider the rst, implicit-explicit, approach for general couplings (the main point herein) but restricted to" @default.
- W2552654113 created "2016-11-30" @default.
- W2552654113 creator A5064202954 @default.
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- W2552654113 date "2013-01-01" @default.
- W2552654113 modified "2023-09-27" @default.
- W2552654113 title "ENERGY STABILITY OF A FIRST ORDER PARTITIONED METHOD FOR SYSTEMS WITH GENERAL COUPLING" @default.
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