42 citations · 64 across the 8 of their papers we have counts for
10 papers · 1 filter
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…
Discontinuous Galerkin Isogeometric Analysis on Non-matching Segmentation: Error Estimates and Efficient Solvers
Christoph Hofer, Ulrich Langer, Ioannis Toulopoulos
The Isogeometric Analysis (IgA) of boundary value problems in complex domains often requires a decomposition of the computational domain into patches such that each of which can be…
Dual-Primal Isogeometric Tearing and Interconnecting solvers for multipatch dG-IgA equations
Christoph Hofer, Ulrich Langer
In this paper we consider a new version of the dual-primal isogeometric tearing and interconnecting (IETI-DP) method for solving large-scale linear systems of algebraic equations a…
Dual-Primal Isogeometric Tearing and Interconnecting Solvers for large-scale systems of multipatch continuous Galerkin IgA equations
Christoph Hofer, Ulrich Langer
The dual-primal isogeometric tearing and interconnecting (IETI-DP) method is the adaption of the dual-primal finite element tearing and interconnecting (FETI-DP) method to isogeome…
Discontinuous Galerkin Isogeometric Analysis of Elliptic Diffusion Problems on Segmentations with Gaps
Christoph Hofer, Ulrich Langer, Ioannis Toulopoulos
We propose a new discontinuous Galerkin Isogeometric Analysis (IgA) technique for the numerical solution of elliptic diffusion problems in computational domains decomposed into vol…