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20212024
most citedMultigoal-oriented dual-weighted-residual error estimation using deep neural networks

3 citations · 6 across the 9 of their papers we have counts for

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5 papers · 1 filter

math.NA2024

Modeling and numerical simulation of fully Eulerian fluid-structure interaction using cut finite elements

Stefan Frei, Tobias Knoke, Marc C. Steinbach +2

We present a monolithic finite element formulation for (nonlinear) fluid-structure interaction in Eulerian coordinates. For the discretization we employ an unfitted finite element…

math.NA20231 cited

Adaptive space-time model order reduction with dual-weighted residual (MORe DWR) error control for poroelasticity

Hendrik Fischer, Julian Roth, Ludovic Chamoin +3

In this work, the space-time MORe DWR (Model Order Reduction with Dual-Weighted Residual error estimates) framework is extended and further developed for single-phase flow problems…

math.NA2023

Global-Local Forward Models within Bayesian Inversion for Large Strain Fracturing in Porous Media

Nima Noii, Thomas Wick, Amirreza Khodadadian

In this work, Bayesian inversion with global-local forwards models is used to identify the parameters based on hydraulic fractures in porous media. It is well-known that using Baye…

math.NA2023

MORe DWR: Space-time goal-oriented error control for incremental POD-based ROM

Hendrik Fischer, Julian Roth, Thomas Wick +2

In this work, the dual-weighted residual (DWR) method is applied to obtain a certified incremental proper orthogonal decomposition (POD) based reduced order model. A novel approach…

math.NA20211 cited

Space-time error control using a partition-of-unity dual-weighted residual method applied to low mach number combustion

Jan Philipp Thiele, Thomas Wick

In this work, a space-time scheme for goal-oriented a posteriori error estimation is proposed. The error estimator is evaluated using a partition-of-unity dual-weighted residual me…