Multigoal-oriented dual-weighted-residual error estimation using deep neural networks

no code implementations • 21 Dec 2021 • Ayan Chakraborty, Thomas Wick, Xiaoying Zhuang, Timon Rabczuk

An efficient and easy to implement algorithm is developed to obtain a posteriori error estimate for multiple goal functionals by employing the dual-weighted residual approach, which is followed by the computation of both primal and adjoint solutions using the neural network.

Neural network guided adjoint computations in dual weighted residual error estimation

no code implementations • 24 Feb 2021 • 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.

Numerical Analysis Numerical Analysis

Parallel solution, adaptivity, computational convergence, and open-source code of 2d and 3d pressurized phase-field fracture problems

1 code implementation • 26 Jun 2018 • Timo Heister, Thomas Wick

We present a scalable, parallel implementation of a solver for the solution of a phase-field model for quasi-static brittle fracture.

Numerical Analysis 65N30, 65Y05, 74R10