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Least-Squares Finite Element Methods with Weakly Imposed Boundary Conditions: Norm and Error Equivalences, Over-Penalization, and Fully Discontinuous Discretizations V753EAWQ3S

URIm2://res/V753EAWQ3S
Kindpreprint
CreatorsShun Zhang
Date2026-10-13
MSC65-XX
Subjectsarxiv math.NA, arxiv cs.NA
Scopein

Expressions

e1: version, preprint

Languageen
Date2026-10-13
IdsarXiv 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.

ItemKindWhereSource
residual representationstatementcorollary 3.3arxiv
the admissible weights for stabilitystatementproposition 8.1arxiv
error equivalencestatementtheorem 4.6arxiv
a priori estimate in the broken normstatementtheorem 9.5arxiv
discrete norm equivalencestatementtheorem 9.2arxiv
6VQ9T3D69Qstatementcorollary 6.2arxiv
quasi-optimality of $Q_h$ on $\G_D$statementlemma 6.1arxiv
discrete conforming companionsstatementlemma 9.1arxiv
best approximation of the Dirichlet datumstatementcorollary 4.7arxiv
a priori estimatestatementtheorem 5.2arxiv
norm equivalencestatementtheorem 4.4arxiv
error equivalence in the broken normstatementtheorem 9.4arxiv
well-posedness and stabilitystatementtheorem 3.2arxiv
non-intrusive error equivalencestatementtheorem 7.1arxiv
sharpness of the jump weightsstatementproposition 9.3arxiv
Pythagoras on $\G_N$statementlemma 5.1arxiv
discrete Dirichlet trace inequalitystatementlemma 4.3arxiv
over-penalizationstatementtheorem 8.2arxiv
continuitystatementlemma 4.2arxiv

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