Search Results - "Feischl, Michael"

Reliable and efficient a posteriori error estimation for adaptive IGA boundary element methods for weakly-singular integral equations by Feischl, Michael, Gantner, Gregor, Praetorius, Dirk

“…We consider the Galerkin boundary element method (BEM) for weakly-singular integral equations of the first-kind in 2D. We analyze some residual-type…”
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Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations by Feischl, Michael, Gantner, Gregor, Haberl, Alexander, Praetorius, Dirk

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Recurrent neural networks as optimal mesh refinement strategies by Bohn, Jan, Feischl, Michael

“…We show that optimal mesh refinement algorithms for a large class of PDEs can be learned by a recurrent neural network with a fixed number of trainable…”
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Convergence of adaptive stochastic collocation with finite elements by Feischl, Michael, Scaglioni, Andrea

“…We consider an elliptic partial differential equation with a random diffusion parameter discretized by a stochastic collocation method in the parameter domain…”
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A quasi-Monte Carlo data compression algorithm for machine learning by Dick, Josef, Feischl, Michael

“…We introduce an algorithm to reduce large data sets using so-called digital nets, which are well distributed point sets in the unit cube. These point sets…”
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THE EDDY CURRENT-LLG EQUATIONS: FEM-BEM COUPLING AND A PRIORI ERROR ESTIMATES by FEISCHL, MICHAEL, TRAN, THANH

“…We analyze a numerical method for the coupled system of the eddy current equations in ℝ³ with the Landau-Lifshitz-Gilbert equation in a bounded domain. The…”
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An Abstract Analysis of Optimal Goal-Oriented Adaptivity by Feischl, Michael, Praetorius, Dirk, van der Zee, Kristoffer G.

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Fast random field generation with H-matrices by Feischl, Michael, Kuo, Frances Y., Sloan, Ian H.

“…We use the H -matrix technology to compute the approximate square root of a covariance matrix in linear cost. This allows us to generate normal and log-normal…”
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Adaptive 2D IGA boundary element methods by Feischl, Michael, Gantner, Gregor, Haberl, Alexander, Praetorius, Dirk

“…We derive and discuss a posteriori error estimators for Galerkin and collocation IGA boundary element methods for weakly singular integral equations of the…”
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Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations by Feischl, Michael, Gantner, Gregor, Haberl, Alexander, Praetorius, Dirk

“…In a recent work (Feischl et al. in Eng Anal Bound Elem 62:141–153, 2016 ), we analyzed a weighted-residual error estimator for isogeometric boundary element…”
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Low-entry-barrier point-of-care testing of anti-SARS-CoV-2 IgG in the population of Upper Austria from December 2020 until April 2021—a feasible surveillance strategy for post-pandemic monitoring? by Doppler, Christian, Feischl, Michael, Ganhör, Clara, Puh, Spela, Müller, Marina, Kotnik, Michaela, Mimler, Teresa, Sonnleitner, Max, Bernhard, David, Wechselberger, Christian

“…Already at the very beginning of the COVID-19 pandemic, an extensive PCR and antigen testing strategy was considered necessary and subsequently also proved…”
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Energy norm based error estimators for adaptive BEM for hypersingular integral equations by Aurada, Markus, Feischl, Michael, Führer, Thomas, Karkulik, Michael, Praetorius, Dirk

“…For hypersingular integral equations in 2D and 3D, we analyze easy-to-implement error estimators like (h−h/2)-based estimators, two-level estimators, and…”
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Adaptive Boundary Element Methods: A Posteriori Error Estimators, Adaptivity, Convergence, and Implementation by Feischl, Michael, Führer, Thomas, Heuer, Norbert, Karkulik, Michael, Praetorius, Dirk

“…This paper reviews the state of the art and discusses very recent mathematical developments in the field of adaptive boundary element methods. This includes an…”
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Correction to: Fast random field generation with H-matrices by Feischl, Michael, Kuo, Frances Y., Sloan, Ian H.

“…The corrected version states the parameter range as p  ∈ 2ℕ instead of p  ∈ ℕ. The effect is to disallow non-smooth norms such as the ℓ 1 -norm for the…”
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Classical FEM-BEM coupling methods: nonlinearities, well-posedness, and adaptivity by Aurada, Markus, Feischl, Michael, Führer, Thomas, Karkulik, Michael, Melenk, Jens Markus, Praetorius, Dirk

“…We consider a (possibly) nonlinear interface problem in 2D and 3D, which is solved by use of various adaptive FEM-BEM coupling strategies, namely the…”
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3D FEM–BEM-coupling method to solve magnetostatic Maxwell equations by Bruckner, Florian, Vogler, Christoph, Feischl, Michael, Praetorius, Dirk, Bergmair, Bernhard, Huber, Thomas, Fuger, Markus, Suess, Dieter

“…3D magnetostatic Maxwell equations are solved using the direct Johnson–Nédélec FEM–BEM coupling method and a reduced scalar potential approach. The occurring…”
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Adaptive boundary element methods for optimal convergence of point errors by Feischl, Michael, Gantner, Gregor, Haberl, Alexander, Praetorius, Dirk, Führer, Thomas

“…One particular strength of the boundary element method is that it allows for a high-order pointwise approximation of the solution of the related partial…”
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Optimal preconditioning for the symmetric and nonsymmetric coupling of adaptive finite elements and boundary elements by Feischl, Michael, Führer, Thomas, Praetorius, Dirk, Stephan, Ernst P.

“…We analyze a multilevel diagonal additive Schwarz preconditioner for the adaptive coupling of FEM and BEM for a linear 2D Laplace transmission problem. We…”
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Optimal additive Schwarz preconditioning for hypersingular integral equations on locally refined triangulations by Feischl, Michael, Führer, Thomas, Praetorius, Dirk, Stephan, Ernst P.

“…For the non-preconditioned Galerkin matrix of the hypersingular integral operator, the condition number grows with the number of elements as well as the…”
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Quasi-optimal convergence rates for adaptive boundary element methods with data approximation, part I: weakly-singular integral equation by Feischl, Michael, Führer, Thomas, Karkulik, Michael, Melenk, Jens Markus, Praetorius, Dirk

“…We analyze an adaptive boundary element method for Symm’s integral equation in 2D and 3D which incorporates the approximation of the Dirichlet data g into the…”
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