Independent meshing of subdomains separated by an interface can lead to spatially non-coincident discrete interfaces. We present an optimization-based coupling method for such problems, which does not require a common mesh refinement of the interface, has optimal H1 convergence rates, and passes a patch test. The method minimizes the mismatch of the state and normal stress extensions on discrete interfaces subject to the subdomain equations, while interface “fluxes” provide virtual Neumann controls.
CITATION STYLE
Bochev, P., Kuberry, P., & Peterson, K. (2018). A virtual control coupling approach for problems with non-coincident discrete interfaces. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 10665 LNCS, pp. 147–155). Springer Verlag. https://doi.org/10.1007/978-3-319-73441-5_15
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