[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 …

An unfitted hybrid high-order method with cell agglomeration for elliptic interface problems

E Burman, M Cicuttin, G Delay, A Ern - SIAM Journal on Scientific Computing, 2021 - SIAM
We design and analyze a Hybrid High-Order (HHO) method on unfitted meshes to
approximate elliptic interface problems by means of a consistent penalty method à la …

Ghost stabilisation of the material point method for stable quasi‐static and dynamic analysis of large deformation problems

WM Coombs - International Journal for Numerical Methods in …, 2023 - Wiley Online Library
The unstable nature of the material point method (MPM) is widely documented and is a
barrier to the method being used for routine engineering analyses of large deformation …

Grid-characteristic method on overlapping curvilinear meshes for modeling elastic waves scattering on geological fractures

NI Khokhlov, A Favorskaya, V Furgailo - Minerals, 2022 - mdpi.com
Interest in computational methods for calculating wave scattering from fractured geological
clusters is due to their application in processing and interpreting the data obtained during …

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 …

Unfitted finite element method for fully coupled poroelasticity with stabilization

Z Liu, Y Zhang, Y Jiang, H Yang, Y Yang - Computer Methods in Applied …, 2022 - Elsevier
The complex geometries of real-world problems pose a considerable challenge to the
preprocessing of the standard finite element method (FEM), wherein the mesh conforms to …

[HTML][HTML] A conservation law consistent updated Lagrangian material point method for dynamic analysis

G Pretti, WM Coombs, CE Augarde, B Sims… - Journal of …, 2023 - Elsevier
Abstract The Material Point Method (MPM) is well suited to modelling dynamic solid
mechanics problems undergoing large deformations with non-linear, history dependent …

[HTML][HTML] An unfitted RBF-FD method in a least-squares setting for elliptic PDEs on complex geometries

I Tominec, E Breznik - Journal of Computational Physics, 2021 - Elsevier
Radial basis function generated finite difference (RBF-FD) methods for PDEs require a set of
interpolation points which conform to the computational domain Ω. One of the requirements …

On the implementation of a material point‐based arc‐length method

ND Gavin, G Pretti, WM Coombs… - International Journal …, 2024 - Wiley Online Library
The material point method is a versatile technique which can be used to solve various types
of solid mechanics problems, especially those involving large deformations. However, the …

[HTML][HTML] A generalized multigrid method for solving contact problems in Lagrange multiplier based unfitted Finite Element Method

H Kothari, R Krause - Computer methods in applied mechanics and …, 2022 - Elsevier
Internal interfaces in a domain could exist as a material defect or they can appear due to
propagations of cracks. Discretization of such geometries and solution of the contact …