A deep first-order system least squares method for solving elliptic PDEs R85Z7ZZGBC
| URI | m2://res/R85Z7ZZGBC |
|---|---|
| Kind | preprint |
| Creators | Francisco M. Bersetche, Juan Pablo Borthagaray |
| Date | 2022-04-14 |
| MSC | 65-XX |
| Subjects | arxiv math.NA, arxiv cs.NA |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2022-04-14 |
| Ids | arXiv 2204.07227 |
Items in this resource
The mentions of the inventory that name this resource. Each name links to the card of its inventory row.
| Item | Kind | Where | Source |
|---|---|---|---|
| convergence, general case | statement | theorem 4.2 | arxiv |
| continuity with respect to neural network parameters | statement | lemma 3.1 | arxiv |
| approximation properties of $\calA_m$ | statement | lemma 3.2 | arxiv |
| sequential $\Gamma$-convergence | definition | definition 3.1 | arxiv |
| almost sure $\Gamma$-convergence | statement | theorem 3.2 | arxiv |
| smooth distance function | definition | definition 2.1 | arxiv |
| fundamental theorem of $\Gamma$-convergence | statement | theorem 3.1 | arxiv |
| Laplace operator | example | example 5.1 | arxiv |
| almost sure convergence of regularized discrete loss functions | statement | lemma 3.3 | arxiv |
| almost sure $\Gamma$-convergence, general case | statement | theorem 4.1 | arxiv |
| singularly perturbed problem | example | example 5.2 | arxiv |
| SB6N9QC1PJ | definition | definition 3.2 | arxiv |
| convergence | statement | theorem 3.3 | arxiv |
Catalogue records
- arxiv: 2204.07227 (work)
- arxiv_text: 2204.07227 (work)