$\ell$FEM: An efficient loop-free Matlab implementation of isoparametric bulk and surface finite elements
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2026
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866918500794105856 |
|---|---|
| author | Kovács, Balázs Lantelme, Michael |
| author_facet | Kovács, Balázs Lantelme, Michael |
| contents | The $\ell$FEM MATLAB package provides a simple, efficient, and flexible implementation of isoparametric finite elements in bulk domains and on surfaces. The finite element matrix assemblies are based on MATLAB's paged operators and therefore completely loop-free. We give a short and conscious description of high-order isoparametric surface finite elements, which is then used to describe the assembly process and the implementation.
We report on relevant numerical experiments (runtime comparisons, modifications for non-linear problems, etc.), and on additional functions, examples, and a testing unit which are all part of the $\ell$FEM package. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_14035 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | $\ell$FEM: An efficient loop-free Matlab implementation of isoparametric bulk and surface finite elements Kovács, Balázs Lantelme, Michael Numerical Analysis 35-04, 58J05, 35R01, 65-04, 65M60, 65N30, 65Y05 The $\ell$FEM MATLAB package provides a simple, efficient, and flexible implementation of isoparametric finite elements in bulk domains and on surfaces. The finite element matrix assemblies are based on MATLAB's paged operators and therefore completely loop-free. We give a short and conscious description of high-order isoparametric surface finite elements, which is then used to describe the assembly process and the implementation. We report on relevant numerical experiments (runtime comparisons, modifications for non-linear problems, etc.), and on additional functions, examples, and a testing unit which are all part of the $\ell$FEM package. |
| title | $\ell$FEM: An efficient loop-free Matlab implementation of isoparametric bulk and surface finite elements |
| topic | Numerical Analysis 35-04, 58J05, 35R01, 65-04, 65M60, 65N30, 65Y05 |
| url | https://arxiv.org/abs/2605.14035 |