Coupling Requirements for Well Posed and Stable Multi-physics Problems
2015 (English)In: Coupled Problems in Science and Engineering VI, International Center for Numerical Methods in Engineering (CIMNE), 2015, 464-476 p.Conference paper (Other academic)
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.
Place, publisher, year, edition, pages
International Center for Numerical Methods in Engineering (CIMNE), 2015. 464-476 p.
multi-physics problem, well posed problems, stability, coupling procedure, high order nite dierences, summation-by-parts operatorsm, weak interface conditions
Computational Mathematics Mathematics
IdentifiersURN: urn:nbn:se:liu:diva-118522ISI: 000380588500040ISBN: 978-84-943928-3-2OAI: oai:DiVA.org:liu-118522DiVA: diva2:815322
6th International Conference on Computational Methods for Coupled Problems in Science and Engineering (COUPLED PROBLEMS), San Servolo, Venice, Italy May 18 – 20, 2015