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Inexact IETI-DP for Conforming Isogeometric Multi-Patch Discretizations

2022; Springer Nature; Linguagem: Inglês

10.1007/978-3-031-20432-6_26

2197-7100

Rainer Schneckenleitner, Stefan Takacs,

Numerical methods in engineering

In this paper, we investigate Dual-Primal Isogeometric Tearing and Interconnecting (IETI-DP) methods for conforming Galerkin discretizations on multi-patch computational domains with inexact subdomain solvers. Recently, the authors have proven a condition number estimate for a IETI-DP solver that is explicit, among other parameters, in the grid size and the spline degree. The analysis assumes that the local subproblems are solved exactly, e.g., using a direct solver. In the present paper, we change the method in order to allow inexact solvers for the local subproblems, namely solvers based on the fast diagonalization method. This gives a faster overall solver, maintaining the same explicit condition number bound.