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20152026
most citedRobust Multigrid for Isogeometric Analysis Based on Stable Splittings of Spline Spaces

51 citations · 263 across the 30 of their papers we have counts for

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Showing 2021Show all

6 papers · 1 filter

math.NA2021★ 1 cited

Multigrid solvers for isogeometric discretizations of the second biharmonic problem

Jarle Sogn, Stefan Takacs

We develop a multigrid solver for the second biharmonic problem in the context of Isogeometric Analysis (IgA), where we also allow a zero-order term. In a previous paper, the autho…

math.NA2021

Dual-Primal Isogeometric Tearing and Interconnecting methods for the Stokes problem

Jarle Sogn, Stefan Takacs

We are interested in a fast solver for linear systems obtained by discretizing the Stokes problem with multi-patch Isogeometric Analysis. We use Dual-Primal Isogeometric Tearing an…

math.NA2021

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…

math.NA2021★ 5 cited

IETI-DP methods for discontinuous Galerkin multi-patch Isogeometric Analysis with T-junctions

Rainer Schneckenleitner, Stefan Takacs

We study Dual-Primal Isogeometric Tearing and Interconnecting (IETI-DP) solvers for non-conforming multi-patch discretizations of a generalized Poisson problem. We realize the coup…

math.NA2021

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…

math.NA2021

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…