Least-Squares Finite Element Methods with Weakly Imposed Boundary Conditions: Norm and Error Equivalences, Over-Penalization, and Fully Discontinuous Discretizations V753EAWQ3S
| URI | m2://res/V753EAWQ3S |
|---|---|
| Kind | preprint |
| Creators | Shun Zhang |
| Date | 2026-10-13 |
| MSC | 65-XX |
| Subjects | arxiv math.NA, arxiv cs.NA |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-10-13 |
| Ids | arXiv 2610.17678 |
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 |
|---|---|---|---|
| residual representation | statement | corollary 3.3 | arxiv |
| the admissible weights for stability | statement | proposition 8.1 | arxiv |
| error equivalence | statement | theorem 4.6 | arxiv |
| a priori estimate in the broken norm | statement | theorem 9.5 | arxiv |
| discrete norm equivalence | statement | theorem 9.2 | arxiv |
| 6VQ9T3D69Q | statement | corollary 6.2 | arxiv |
| quasi-optimality of $Q_h$ on $\G_D$ | statement | lemma 6.1 | arxiv |
| discrete conforming companions | statement | lemma 9.1 | arxiv |
| best approximation of the Dirichlet datum | statement | corollary 4.7 | arxiv |
| a priori estimate | statement | theorem 5.2 | arxiv |
| norm equivalence | statement | theorem 4.4 | arxiv |
| error equivalence in the broken norm | statement | theorem 9.4 | arxiv |
| well-posedness and stability | statement | theorem 3.2 | arxiv |
| non-intrusive error equivalence | statement | theorem 7.1 | arxiv |
| sharpness of the jump weights | statement | proposition 9.3 | arxiv |
| Pythagoras on $\G_N$ | statement | lemma 5.1 | arxiv |
| discrete Dirichlet trace inequality | statement | lemma 4.3 | arxiv |
| over-penalization | statement | theorem 8.2 | arxiv |
| continuity | statement | lemma 4.2 | arxiv |
Catalogue records
- arxiv: 2610.17678 (work)
- arxiv_text: 2610.17678 (work)