3 papers
math.NA2024
STLCutters.jl: A scalable geometrical framework library for unfitted finite element discretisations
Pere A. Martorell, Santiago Badia
Approximating partial differential equations for extensive industrial and scientific applications requires leveraging the power of modern high-performance computing. In large-scale…
cs.CE2024
Space-time unfitted finite elements on moving explicit geometry representations
Santiago Badia, Pere A. Martorell, Francesc Verdugo
This work proposes a novel variational approximation of partial differential equations on moving geometries determined by explicit boundary representations. The benefits of the pro…
cs.CE2024
High order unfitted finite element discretizations for explicit boundary representations
Pere A. Martorell, Santiago Badia
When modeling scientific and industrial problems, geometries are typically modeled by explicit boundary representations obtained from computer-aided design software. Unfitted (also…