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Robust approximation error estimates for analysis-suitable isogeometric multi-patch discretizations
Fatima Hasanova, Stefan Takacs, Thomas Takacs
We prove -robust approximation error estimates for -conforming isogeometric discretizations over planar multi-patch domains. Possible applications are fourth order boundary…
The Isogeometric Fast Fourier-based Diagonalization method
Monica Montardini, Stefan Takacs, Mattia Tani
The construction of robust solvers for linear systems obtained from the discretization of partial differential equations using Isogeometric Analysis is challenging since the condit…
A robust and time-parallel preconditioner for parabolic reconstruction problems using Isogeometric Analysis
Kent-Andre Mardal, Jarle Sogn, Stefan Takacs
We consider a PDE-constrained optimization problem of tracking type with parabolic state equation. The solution to the problem is characterized by the Karush-Kuhn-Tucker (KKT) syst…
Isogeometric Tearing and Interconnecting Solvers for Linearized Elasticity in multi-patch Isogeometric Analysis
Jarle Sogn, Stefan Takacs
We consider the linearized elasticity equation, discretized with multi-patch Isogeometric Analysis. A standard discretization error analysis is based on Korn's inequality, which de…
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…
Stable discretizations and IETI-DP solvers for the Stokes system in multi-patch Isogeometric Analysis
Jarle Sogn, Stefan Takacs
We are interested in a fast solver for the Stokes equations, discretized with multi-patch Isogeometric Analysis. In the last years, several inf-sup stable discretizations for the S…