A Finite Element Method for the Grad--Mercier Equation 8XPN1A2GR0

Expressions

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
Well-posedness and convergence of the discrete method	statement	theorem 3.4	arxiv
Discrete comparison principle	statement	lemma 5.4	arxiv
Discrete barrier bound	statement	lemma 5.11	arxiv
Minimum representation of the discrete rearrangement	statement	lemma 5.5	arxiv
Mass-lumping error	statement	lemma 5.3	arxiv
Lumped norm equivalence	statement	lemma 5.2	arxiv
Convergence of the lumped nodal measures	statement	lemma 5.1	arxiv
Convergence of the rearrangement iteration	statement	lemma 5.13	arxiv
Canonical tied-level source	statement	lemma 5.7	arxiv
A posteriori energy bound	statement	theorem 3.3	arxiv
Finite-dimensional supergradient representation	statement	lemma 5.8	arxiv
Continuum variational characterisation	statement	lemma 5.17	arxiv
Absence of non-maximal plateaux	statement	lemma 5.16	arxiv
Weak solution	definition	definition 2.2	arxiv
Discrete existence, uniqueness and optimality	statement	lemma 5.10	arxiv
Invariance of the rearrangement iteration	statement	lemma 5.12	arxiv
Consistency of the weighted nodal rearrangement	statement	lemma 5.18	arxiv
Discrete Grad--Mercier problem	definition	definition 3.2	arxiv
Concavity and continuity of $\mathcal R_h$	statement	lemma 5.6	arxiv
Continuum rearrangement functional	statement	lemma 5.15	arxiv
Linear consistency for mass-lumped Poisson problems	statement	lemma 5.14	arxiv
Continuum well-posedness and dead core	statement	theorem 2.3	arxiv
Coercivity of the discrete energy	statement	lemma 5.9	arxiv