7 papers
Inexact IETI-DP for conforming isogeometric multi-patch discretizations
Rainer Schneckenleitner, Stefan Takacs
In this paper, we investigate Dual-Primal Isogeometric Tearing and Interconnecting (IETI-DP) methods for conforming Galerkin discretizations on multi-patch computational domains wi…
IETI-DP for conforming multi-patch Isogeometric Analysis in three dimensions
Rainer Schneckenleitner, Stefan Takacs
We consider dual-primal isogeometric tearing and interconnection (IETI-DP) solvers for multi-patch geometries in Isogeometric Analysis. Recently, the authors have published a conve…
Towards a IETI-DP solver on non-matching multi-patch domains
Rainer Schneckenleitner, Stefan Takacs
Recently, the authors have proposed and analyzed isogeometric tearing and interconnecting (IETI-DP) solvers for multi-patch discretizations in Isogeometric Analysis. Conforming and…
Robust preconditioning and error estimates for optimal control of the convection-diffusion-reaction equation with limited observation in Isogeometric analysis
Kent-Andre Mardal, Jarle Sogn, Stefan Takacs
In this paper we analyze an optimization problem with limited observation governed by a convection--diffusion--reaction equation. Motivated by a Schur complement approach, we arriv…
Condition number bounds for IETI-DP methods that are explicit in h and p
Rainer Schneckenleitner, Stefan Takacs
We study the convergence behavior of Dual-Primal Isogeometric Tearing and Interconnecting (IETI-DP) methods for solving large-scale algebraic systems arising from multi-patch Isoge…
Fast multigrid solvers for conforming and non-conforming multi-patch Isogeometric Analysis
Stefan Takacs
Isogeometric Analysis is a high-order discretization method for boundary value problems that uses a number of degrees of freedom which is as small as for a low-order method. Standa…