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10/17/2022
Inexpensive polynomial-degree- and number-of-hanging-nodes-robust equilibrated flux a posteriori estimates for isogeometric analysis
We consider isogeometric discretizations of the Poisson model problem, f...
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08/23/2022
Improved rates for a space-time FOSLS of parabolic PDEs
We consider the first-order system space-time formulation of the heat eq...
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08/20/2022
Applications of a space-time FOSLS formulation for parabolic PDEs
In this work, we show that the space-time first-order system least-squar...
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03/01/2022
Stable implementation of adaptive IGABEM in 2D in MATLAB
We report on our MATLAB program package IGABEM2D, which provides an easi...
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01/26/2022
A well-posed First Order System Least Squares formulation of the instationary Stokes equations
In this paper, a well-posed simultaneous space-time First Order System L...
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08/06/2021
Adaptive space-time BEM for the heat equation
We consider the space-time boundary element method (BEM) for the heat eq...
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07/14/2021
Adaptive BEM for elliptic PDE systems, part II: Isogeometric analysis with hierarchical B-splines for weakly-singular integral equations
We formulate and analyze an adaptive algorithm for isogeometric analysis...
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07/05/2021
Mathematical foundations of adaptive isogeometric analysis
This paper reviews the state of the art and discusses recent development...
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03/08/2021
Efficient numerical approximation of a non-regular Fokker–Planck equation associated with first-passage time distributions
In neuroscience, the distribution of a decision time is modelled by mean...
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01/27/2021
Goal-oriented adaptive finite element methods with optimal computational complexity
We consider a linear symmetric and elliptic PDE and a linear goal functi...
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09/02/2020
Plain convergence of adaptive algorithms without exploiting reliability and efficiency
We consider h-adaptive algorithms in the context of the finite element m...
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05/22/2020
Further results on a space-time FOSLS formulation of parabolic PDEs
In [2019, Space-time least-squares finite elements for parabolic equatio...
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04/16/2020
Adaptive BEM for elliptic PDE systems, Part I: Abstract framework for weakly-singular integral equations
In the present work, we consider weakly-singular integral equations aris...
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03/24/2020
Rate optimality of adaptive finite element methods with respect to the overall computational costs
We consider adaptive finite element methods for second-order elliptic PD...
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10/03/2019
Adaptive IGAFEM with optimal convergence rates: T-splines
We consider an adaptive algorithm for finite element methods for the iso...
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03/05/2019