Serendipity discrete complexes with enhanced regularity
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913434462846976 |
|---|---|
| author | Di Pietro, Daniele Hanot, Marien Salah, Marwa |
| author_facet | Di Pietro, Daniele Hanot, Marien Salah, Marwa |
| contents | In this work we address the problem of finding serendipity versions of approximate de Rham complexes with enhanced regularity. The starting point is a new abstract construction of general scope which, given three complexes linked by extension and reduction maps, generates a fourth complex with cohomology isomorphic to the former three. This construction is used to devise new serendipity versions of rot-rot and Stokes complexes derived in the Discrete de Rham spirit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_12625 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Serendipity discrete complexes with enhanced regularity Di Pietro, Daniele Hanot, Marien Salah, Marwa Numerical Analysis 65N30, 65N99, 65N12, 35Q60 In this work we address the problem of finding serendipity versions of approximate de Rham complexes with enhanced regularity. The starting point is a new abstract construction of general scope which, given three complexes linked by extension and reduction maps, generates a fourth complex with cohomology isomorphic to the former three. This construction is used to devise new serendipity versions of rot-rot and Stokes complexes derived in the Discrete de Rham spirit. |
| title | Serendipity discrete complexes with enhanced regularity |
| topic | Numerical Analysis 65N30, 65N99, 65N12, 35Q60 |
| url | https://arxiv.org/abs/2407.12625 |