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20182022
most citedCondition number bounds for IETI-DP methods that are explicit in h and p

11 citations · 16 across the 7 of their papers we have counts for

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7 papers · 1 filter

math.NA2022

A IETI-DP method for discontinuous Galerkin discretizations in Isogeometric Analysis with inexact local solvers

Monica Montardini, Giancarlo Sangalli, Rainer Schneckenleitner +2

We construct solvers for an isogeometric multi-patch discretization, where the patches are coupled via a discontinuous Galerkin approach, which allows the consideration of discreti…

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.NA2020

Convergence theory for IETI-DP solvers for discontinuous Galerkin Isogeometric Analysis that is explicit in h and p

Rainer Schneckenleitner, Stefan Takacs

In this paper, we develop a convergence theory for Dual-Primal Isogeometric Tearing and Interconnecting (IETI-DP) solvers for isogeometric multi-patch discretizations of the Poisso…

math.NA2019★ 11 cited

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…

math.NA2018

Isogeometric Simulation and Shape Optimization with Applications to Electrical Machines

Peter Gangl, Ulrich Langer, Angelos Mantzaflaris +1

Future e-mobility calls for efficient electrical machines. For different areas of operation, these machines have to satisfy certain desired properties that often depend on their de…