[HTML][HTML] Finite element interpolated neural networks for solving forward and inverse problems

S Badia, W Li, AF Martín - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
We propose a general framework for solving forward and inverse problems constrained by
partial differential equations, where we interpolate neural networks onto finite element …

High-order enforcement of jumps conditions between compressible viscous phases: An extended interior penalty discontinuous Galerkin method for sharp interface …

D Henneaux, P Schrooyen, P Chatelain… - Computer Methods in …, 2023 - Elsevier
In this paper, we develop a high-order method for the steady two-phase compressible
Navier–Stokes equations closed by generic equations of state, adapted to gas–liquid flows …

[HTML][HTML] Immersed boundary parametrizations for full waveform inversion

T Bürchner, P Kopp, S Kollmannsberger… - Computer Methods in …, 2023 - Elsevier
Abstract Full Waveform Inversion (FWI) is a successful and well-established inverse method
for reconstructing material models from measured wave signals. In the field of seismic …

[HTML][HTML] Fast immersed boundary method based on weighted quadrature

B Marussig, R Hiemstra, D Schillinger - Computer Methods in Applied …, 2023 - Elsevier
Combining sum factorization, weighted quadrature, and row-based assembly enables
efficient higher-order computations for tensor product splines. We aim to transfer these …

[HTML][HTML] A comparison of smooth basis constructions for isogeometric analysis

HM Verhelst, P Weinmüller, A Mantzaflaris… - Computer Methods in …, 2024 - Elsevier
In order to perform isogeometric analysis with increased smoothness on complex domains,
trimming, variational coupling or unstructured spline methods can be used. The latter two …

Anisotropic variational mesh adaptation for embedded finite element methods

S Rahmani, J Baiges, J Principe - Computer Methods in Applied Mechanics …, 2025 - Elsevier
Embedded or immersed boundary methods (IBM) are powerful mesh-based techniques that
permit to solve partial differential equations (PDEs) in complex geometries circumventing the …

Scan-based immersed isogeometric flow analysis

CV Verhoosel, E Harald van Brummelen… - … in Computational Fluid …, 2023 - Springer
This chapter reviews the work conducted by our team on scan-based immersed
isogeometric analysis for flow problems. To leverage the advantageous properties of …

Isogeometric multi-resolution full waveform inversion based on the finite cell method

T Bürchner, P Kopp, S Kollmannsberger… - Computer Methods in …, 2023 - Elsevier
Full waveform inversion (FWI) is an iterative identification process that serves to minimize
the misfit of model-based simulated and experimentally measured wave field data. Its goal is …

High order unfitted finite element discretizations for explicit boundary representations

PA Martorell, S Badia - Journal of Computational Physics, 2024 - Elsevier
When modeling scientific and industrial problems, geometries are typically modeled by
explicit boundary representations obtained from computer-aided design software. Unfitted …

[HTML][HTML] Robust numerical integration of embedded solids described in boundary representation

M Meßmer, S Kollmannsberger, R Wüchner… - Computer Methods in …, 2024 - Elsevier
Embedded and immersed methods have become essential tools in computational
mechanics, as they allow discretizing arbitrarily complex geometries without the need for …