Person
Jan Sickmann Hesthaven
Related publications (236)
A graph convolutional autoencoder approach to model order reduction for parametrized PDEs
Jan Sickmann Hesthaven, Federico Pichi
The present work proposes a framework for nonlinear model order reduction based on a Graph Convolutional Autoencoder (GCA-ROM). In the reduced order modeling (ROM) context, one is interested in obtaining real -time and many-query evaluations of parametric ...
San Diego2024Model reduction of coupled systems based on non-intrusive approximations of the boundary response maps
Jan Sickmann Hesthaven, Niccolo' Discacciati
We propose a local, non -intrusive model order reduction technique to accurately approximate the solution of coupled multi -component parametrized systems governed by partial differential equations. Our approach is based on the approximation of the boundar ...
Lausanne2024Localized model order reduction and domain decomposition methods for coupled heterogeneous systems
Jan Sickmann Hesthaven, Niccolo' Discacciati
We propose a model order reduction technique to accurately approximate the behavior of multi-component systems without any a-priori knowledge of the coupled model. In the offline phase, we construct independent surrogate models by solving the local problem ...
WILEY2023A new variable shape parameter strategy for RBF approximation using neural networks
The choice of the shape parameter highly effects the behaviour of radial basis function (RBF) approximations, as it needs to be selected to balance between the ill-conditioning of the interpolation matrix and high accuracy. In this paper, we demonstrate ho ...
PERGAMON-ELSEVIER SCIENCE LTD2023Adaptive Symplectic Model Order Reduction Of Parametric Particle-Based Vlasov-Poisson Equation
Jan Sickmann Hesthaven, Nicolò Ripamonti, Cecilia Pagliantini
. High-resolution simulations of particle-based kinetic plasma models typically require a high number of particles and thus often become computationally intractable. This is exacerbated in multi-query simulations, where the problem depends on a set of para ...
AMER MATHEMATICAL SOC2023Massively parallel nodal discontinous Galerkin finite element method simulator for room acoustics
We present a massively parallel and scalable nodal discontinuous Galerkin finite element method (DGFEM) solver for the time-domain linearized acoustic wave equations. The solver is implemented using the libParanumal finite element framework with extensions ...
London2023Non-intrusive data-driven reduced-order modeling for time-dependent parametrized problems
Jan Sickmann Hesthaven, Junming Duan
Reduced-order models are indispensable for multi-query or real-time problems. However, there are still many challenges to constructing efficient ROMs for time-dependent parametrized problems. Using a linear reduced space is inefficient for time-dependent n ...
San Diego2023Rank-adaptive structure-preserving model order reduction of Hamiltonian systems
Jan Sickmann Hesthaven, Nicolò Ripamonti, Cecilia Pagliantini
This work proposes an adaptive structure-preserving model order reduction method for finite-dimensional parametrized Hamiltonian systems modeling non-dissipative phenomena. To overcome the slowly decaying Kolmogorov width typical of transport problems, the ...
EDP SCIENCES S A2022Model order reduction for compressible flows solved using the discontinuous Galerkin methods
Projection-based reduced order models (ROM) based on the weak form and the strong form of the discontinuous Galerkin (DG) method are proposed and compared for shock-dominated problems. The incorporation of dissipation components of DG in a consistent manne ...
ACADEMIC PRESS INC ELSEVIER SCIENCE2022Reduced basis methods for numerical room acoustic simulations with parametrized boundaries
Jan Sickmann Hesthaven, Hermes Sampedro Llopis
The use of model-based numerical simulations of wave propagation in rooms for engineering applications requires that acoustic conditions for multiple parameters are evaluated iteratively, which is computationally expensive. We present a reduced basis metho ...
ACOUSTICAL SOC AMER AMER INST PHYSICS2022