7 papers
A parallel multigrid solver for multi-patch Isogeometric Analysis
Christoph Hofer, Stefan Takacs
Isogeometric Analysis (IgA) is a framework for setting up spline-based discretizations of partial differential equations, which has been introduced around a decade ago and has gain…
Discontinuous Galerkin Isogeometric Analysis for segmentations generating overlapping regions
Christoph Hofer, Ioannis Toulopoulos
In the Isogeometric Analysis (IGA) framework, the computational domain has very often a multipatch representation. The multipatch domain can be obtained by a volume segmentation of…
Robust Preconditioning for Space-Time Isogeometric Analysis of Parabolic Evolution Problems
Christoph Hofer, Ulrich Langer, Martin Neumüller
We propose and investigate new robust preconditioners for space-time Isogeometric Analysis of parabolic evolution problems. These preconditioners are based on a time parallel multi…
Inexact Dual-Primal Isogeometric Tearing and Interconnecting Methods
Christoph Hofer, Ulrich Langer, Stefan Takacs
In this paper, we investigate inexact variants of dual-primal isogeometric tearing and interconnecting methods for solving large-scale systems of linear equations arising from Gale…
Analysis of discontinuous Galerkin dual-primal isogeometric tearing and interconnecting methods
Christoph Hofer
In this paper, we present the analysis of the discontinuous Galerkin dual-primal isogeometric tearing and interconnecting method (dG-IETI-DP) for the two-dimensional case where we…
Parallelization of continuous and discontinuous Galerkin dual-primal Isogeometric tearing and interconnecting methods
Christoph Hofer
In this paper we investigate the parallelization of dual-primal isogeometric tearing and interconnecting (IETI-DP) type methods for solving large-scale continuous and discontinuous…