An analysis of high order FEM and IGA for explicit dynamics: Mass lumping and immersed boundaries
We investigate the behavior of different shape functions for the discretization of hyperbolic
problems. In particular, we consider classical Lagrange polynomials and B‐splines. The …
problems. In particular, we consider classical Lagrange polynomials and B‐splines. The …
[HTML][HTML] Implicit-explicit time integration for the immersed wave equation
Efficient solution strategies for wave propagation problems with complex geometries are
essential in many engineering fields. Immersed boundary methods simplify mesh generation …
essential in many engineering fields. Immersed boundary methods simplify mesh generation …
On variationally consistent versus heuristic mass formulations in cut and extended finite element methods
While performing explicit dynamic analyses in a finite element context, engineers must often
balance the accuracy and robustness of a model against the computational savings offered …
balance the accuracy and robustness of a model against the computational savings offered …
Isogeometric multi-resolution full waveform inversion based on the finite cell method
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 …
the misfit of model-based simulated and experimentally measured wave field data. Its goal is …
[HTML][HTML] An eigenvalue stabilization technique for immersed boundary finite element methods in explicit dynamics
The application of immersed boundary methods in static analyses is often impeded by
poorly cut elements (small cut elements problem), leading to ill-conditioned linear systems of …
poorly cut elements (small cut elements problem), leading to ill-conditioned linear systems of …
[HTML][HTML] Conservative cut finite element methods using macroelements
We develop a conservative cut finite element method for an elliptic coupled bulk-interface
problem. The method is based on a discontinuous Galerkin framework where stabilization is …
problem. The method is based on a discontinuous Galerkin framework where stabilization is …
[HTML][HTML] Stabilized immersed isogeometric analysis for the Navier–Stokes–Cahn–Hilliard equations, with applications to binary-fluid flow through porous media
SKF Stoter, TB van Sluijs, THB Demont… - Computer Methods in …, 2023 - Elsevier
Binary-fluid flows can be modeled using the Navier–Stokes–Cahn–Hilliard equations, which
represent the boundary between the fluid constituents by a diffuse interface. The diffuse …
represent the boundary between the fluid constituents by a diffuse interface. The diffuse …
Mesh-driven resampling and regularization for robust point cloud-based flow analysis directly on scanned objects
Point cloud representations of three-dimensional objects have remained indispensable
across a diverse array of applications, given their ability to represent complex real-world …
across a diverse array of applications, given their ability to represent complex real-world …
Spectrum analysis of , , and constructions for extraordinary points
G-splines are smooth spline surface representations that support control nets with arbitrary
unstructured quadrilateral layout. Supporting any distribution of extraordinary points (EPs) is …
unstructured quadrilateral layout. Supporting any distribution of extraordinary points (EPs) is …
Robust mass lumping and outlier removal strategies in isogeometric analysis
Mass lumping techniques are commonly employed in explicit time integration schemes for
problems in structural dynamics and both avoid solving costly linear systems with the …
problems in structural dynamics and both avoid solving costly linear systems with the …