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20212024
most citedTensor-product space-time goal-oriented error control and adaptivity with partition-of-unity dual-weighted residuals for nonstationary flow problems

2 citations · 6 across the 7 of their papers we have counts for

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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

A monolithic space-time temporal multirate finite element framework for interface and volume coupled problems

Julian Roth, Martyna Soszyńska, Thomas Richter +1

In this work, we propose and computationally investigate a monolithic space-time multirate scheme for coupled problems. The novelty lies in the monolithic formulation of the multir…

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.NA20222 cited

Tensor-product space-time goal-oriented error control and adaptivity with partition-of-unity dual-weighted residuals for nonstationary flow problems

Julian Roth, Jan Philipp Thiele, Uwe Köcher +1

In this work, the dual-weighted residual method is applied to a space-time formulation of nonstationary Stokes and Navier-Stokes flow. Tensor-product space-time finite elements are…

math.NA2021

Neural network guided adjoint computations in dual weighted residual error estimation

Julian Roth, Max Schröder, Thomas Wick

In this work, we are concerned with neural network guided goal-oriented a posteriori error estimation and adaptivity using the dual weighted residual method. The primal problem is…