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Wave-heat coupling in one-dimensional unbounded domains: artificial boundary conditions and an optimized Schwarz method
(Springer, 2022)
This paper deals with the coupling between one-dimensional heat and wave equations in unbounded subdomains, as a simplified prototype of fluid-structure interaction problems. First we apply appropriate artificial boundary ...
An overlapping Schwarz method for virtual element discretizations in two dimensions
(2019)
A new coarse space for domain decomposition methods is presented for nodal ellipticproblems in two dimensions. The coarse space is derived from the novel virtual elementmethods and therefore can accommodate quite irregular ...
A two-level overlapping Schwarz method for H(curl) in two dimensions with irregular subdomains
(2015-10-07)
A bound is obtained for the condition number of a two-level overlapping Schwarz algorithm for problems posed in H(curl) in two dimensions, where the subdomains are only assumed to be John subdomains. The coarse space is ...