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- Institute for Quantum Optics and Quantum Information InnsbruckAT973 papers
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9 papers · 2 filters
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…
Isogeometric collocation on planar multi-patch domains
Mario Kapl, Vito Vitrih
We present an isogeometric framework based on collocation to construct a -smooth approximation of the solution of the Poisson's equation over planar bilinearly parameterized m…
Characterization of Analytic Wavelet Transforms and a New Phaseless Reconstruction Algorithm
Nicki Holighaus, Günther Koliander, Zdenĕk Průša +1
We obtain a characterization of all wavelets leading to analytic wavelet transforms (WT). The characterization is obtained as a by-product of the theoretical foundations of a new m…
On the Non-Linear Integral Equation Approach for an Inverse Boundary Value Problem for the Heat Equation
Roman Chapko, Leonidas Mindrinos
We consider the inverse problem of reconstructing the interior boundary curve of a doubly connected domain from the knowledge of the temperature and the thermal flux on the exterio…
Multigoal-oriented optimal control problems with nonlinear PDE constraints
Bernhard Endtmayer, Ulrich Langer, Ira Neitzel +2
In this work, we consider an optimal control problem subject to a nonlinear PDE constraint and apply it to the regularized -Laplace equation. To this end, a reduced unconstraine…
Matrix-free multigrid solvers for phase-field fracture problems
Daniel Jodlbauer, Ulrich Langer, Thomas Wick
In this work, we present a framework for the matrix-free solution to a monolithic quasi-static phase-field fracture model with geometric multigrid methods. Using a standard matrix…