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04/04/2023
Learning quantities of interest from parametric PDEs: An efficient neural-weighted Minimal Residual approach
The efficient approximation of parametric PDEs is of tremendous importan...
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06/15/2022
Neural Control of Discrete Weak Formulations: Galerkin, Least-Squares and Minimal-Residual Methods with Quasi-Optimal Weights
There is tremendous potential in using neural networks to optimize numer...
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11/30/2021
Linearisation of the Travel Time Functional in Porous Media Flows
The travel time functional measures the time taken for a particle trajec...
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01/08/2021
Projection in negative norms and the regularization of rough linear functionals
In order to construct regularizations of continuous linear functionals a...
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03/10/2020
Data-Driven Finite Elements Methods: Machine Learning Acceleration of Goal-Oriented Computations
We introduce the concept of data-driven finite element methods. These ar...
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09/02/2019
Gibbs Phenomena for L^q-Best Approximation in Finite Element Spaces -- Some Examples
Recent developments in the context of minimum residual finite element me...
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08/02/2019
