Coarse space correction is essential to achieve algorithmic scalability in domain decomposition methods. Our goal here is to build a robust coarse space for Schwarz– type preconditioners for elliptic problems with highly heterogeneous coefficients when the discontinuities are not just across but also along subdomain interfaces, where classical results break down [3, 6, 9, 15].
|Title of host publication||Domain Decomposition Methods in Science and Engineering XX|
|Editors||Randolph Bank, Michael Holst, Olof Widlund, Jinchao Xu|
|Place of Publication||Berlin|
|Publication status||Published - 15 Jul 2013|
|Name||Lecture Notes in Computational Science and Engineering|
Dolean, V., Nataf, F., Scheichl, R., & Spillane, N. (2013). A two-level Schwarz preconditioner for heterogeneous problems. In R. Bank, M. Holst, O. Widlund, & J. Xu (Eds.), Domain Decomposition Methods in Science and Engineering XX (Lecture Notes in Computational Science and Engineering; Vol. 91). Berlin: Springer-Verlag. https://doi.org/10.1007/978-3-642-35275-1_8