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03/29/2023
A pollution-free ultra-weak FOSLS discretization of the Helmholtz equation
We consider an ultra-weak first order system discretization of the Helmh...
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03/22/2023
A convenient inclusion of inhomogeneous boundary conditions in minimal residual methods
Inhomogeneous essential boundary conditions can be appended to a well-po...
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01/25/2023
Minimal residual methods in negative or fractional Sobolev norms
For numerical approximation the reformulation of a PDE as a residual min...
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12/08/2022
Interpolation Operators for parabolic Problems
We introduce interpolation operators with approximation and stability pr...
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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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07/15/2022
Least squares solvers for ill-posed PDEs that are conditionally stable
This paper is concerned with the design and analysis of least squares so...
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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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06/02/2021
Minimal residual space-time discretizations of parabolic equations: Asymmetric spatial operators
We consider a minimal residual discretization of a simultaneous space-ti...
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05/12/2021
Accuracy controlled data assimilation for parabolic problems
This paper is concerned with the recovery of (approximate) solutions to ...
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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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02/28/2021
A weighted POD-reduction approach for parametrized PDE-constrained Optimal Control Problems with random inputs and applications to environmental sciences
Reduced basis approximations of Optimal Control Problems (OCPs) governed...
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02/23/2021
Operator preconditioning: the simplest case
Using the framework of operator or Calderón preconditioning, uniform pre...
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01/11/2021
A wavelet-in-time, finite element-in-space adaptive method for parabolic evolution equations
In this work, an r-linearly converging adaptive solver is constructed fo...
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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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04/14/2020
Uniform preconditioners of linear complexity for problems of negative order
We propose a multi-level type operator that can be used in the framework...
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06/21/2019