Coupling requirements for well posed and stable multi-physics problems
Coupling requirements for well posed and stable multi-physics problems
We discuss well-posedness and stability of multi-physics problems by studying a model problem. By applying the energy method, boundary and interface conditions are derived such that the continuous and semi-discrete problem are well-posed and stable. The numerical scheme is implemented using high order finite difference operators on summation-by-parts (SBP) form and weakly imposed boundary and interface conditions. Numerical experiments involving a spectral analysis corroborate the theoretical findings.
weak interface conditions, well posed problems, Matematik, Finite element method, Beräkningsmatematik, multi-physics problem, well posed problems, stability, coupling procedure, high order finite differences, summation-by-parts operatorsm, weak interface conditions, Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits, Elements finits, Mètode dels, multi-physics problem, high order nite dierences, stability, Computational Mathematics, summation-by-parts operatorsm, coupling procedure, Coupled problems (Complex systems) -- Numerical solutions, Mathematics
weak interface conditions, well posed problems, Matematik, Finite element method, Beräkningsmatematik, multi-physics problem, well posed problems, stability, coupling procedure, high order finite differences, summation-by-parts operatorsm, weak interface conditions, Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits, Elements finits, Mètode dels, multi-physics problem, high order nite dierences, stability, Computational Mathematics, summation-by-parts operatorsm, coupling procedure, Coupled problems (Complex systems) -- Numerical solutions, Mathematics
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!