135 citations · 184 across the 7 of their papers we have counts for
8 papers
Stochastic phase-field modeling of brittle fracture: computing multiple crack patterns and their probabilities
Tymofiy Gerasimov, Ulrich Römer, Jaroslav Vondřejc +2
In variational phase-field modeling of brittle fracture, the functional to be minimized is not convex, so that the necessary stationarity conditions of the functional may admit mul…
FFT-based homogenisation accelerated by low-rank tensor approximations
Jaroslav Vondřejc, Dishi Liu, Martin Ladecký +1
Fast Fourier transform (FFT) based methods have turned out to be an effective computational approach for numerical homogenisation. In particular, Fourier-Galerkin methods are compu…
Accurate computation of conditional expectation for highly non-linear problems
Jaroslav Vondřejc, Hermann G. Matthies
This paper focuses on inverse problems to identify parameters by incorporating information from measurements. These generally ill-posed problems are formulated here in a probabilis…
Double-grid quadrature with interpolation-projection (DoGIP) as a novel discretisation approach: An application to FEM on simplexes
Jaroslav Vondřejc
This paper is focused on the double-grid integration with interpolation-projection (DoGIP), which is a novel matrix-free discretisation method of variational formulations introduce…
Energy-based comparison between the Fourier--Galerkin method and the finite element method
Jaroslav Vondřejc, Tom W. J. de Geus
The Fourier-Galerkin method (in short FFTH) has gained popularity in numerical homogenisation because it can treat problems with a huge number of degrees of freedom. Because the me…
Treating Smoothness and Balance during Data Exchange in Explicit Simulator Coupling or Cosimulation
Dirk Scharff, Thilo Moshagen, Jaroslav Vondřejc
Cosimulation methods allow combination of simulation tools of physical systems running in parallel to act as a single simulation environment for a big system. As data is passed acr…