Rob Stevenson | DeepAI

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Gianluigi Rozza
108 publications
Francesco Ballarin
31 publications
Gregor Gantner
16 publications
Maria Strazzullo
14 publications
Johannes Storn
12 publications
Wolfgang Dahmen
9 publications
Raymond van Venetië
7 publications
Jan Westerdiep
5 publications
Harald Monsuur
3 publications
Udo Boehm
1 publication
Sonja Cox
1 publication

∙ 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...

0 Harald Monsuur, et al. ∙

∙ 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...

0 Rob Stevenson, et al. ∙

∙ 01/25/2023

Minimal residual methods in negative or fractional Sobolev norms

For numerical approximation the reformulation of a PDE as a residual min...

0 Harald Monsuur, et al. ∙

∙ 12/08/2022

Interpolation Operators for parabolic Problems

We introduce interpolation operators with approximation and stability pr...

0 Rob Stevenson, et al. ∙

∙ 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...

0 Gregor Gantner, et al. ∙

∙ 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...

0 Gregor Gantner, et al. ∙

∙ 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...

0 Wolfgang Dahmen, et al. ∙

∙ 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...

0 Gregor Gantner, et al. ∙

∙ 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...

0 Rob Stevenson, et al. ∙

∙ 05/12/2021

Accuracy controlled data assimilation for parabolic problems

This paper is concerned with the recovery of (approximate) solutions to ...

0 Wolfgang Dahmen, et al. ∙

∙ 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...

0 Udo Boehm, et al. ∙

∙ 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...

0 Giuseppe Carere, et al. ∙

∙ 02/23/2021

Operator preconditioning: the simplest case

Using the framework of operator or Calderón preconditioning, uniform pre...

0 Rob Stevenson, et al. ∙

∙ 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...

0 Rob Stevenson, et al. ∙

∙ 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...

0 Gregor Gantner, et al. ∙

∙ 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...

0 Rob Stevenson, et al. ∙

∙ 06/21/2019

Uniform preconditioners for problems of positive order

Using the framework of operator or Caldéron preconditioning, uniform pre...

0 Rob Stevenson, et al. ∙

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