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Double complexes and local cochain projections.

Falk RS, Winther R - Numer Methods Partial Differ Equ (2014)

Bottom Line: However, an undesired property of these bounded projections is that, in contrast to the canonical projections, they are nonlocal.The purpose of this article is to discuss a recent alternative construction of bounded cochain projections, which also are local.A key tool for the new construction is the structure of a double complex, resembling the Čech-de Rham double complex of algebraic topology.

View Article: PubMed Central - PubMed

Affiliation: Department of Mathematics, Rutgers University Piscataway, New Jersey, 08854.

No MeSH data available.


(a) Vertex macroelement and (b) edge macroelement.
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fig01: (a) Vertex macroelement and (b) edge macroelement.

Mentions: A vertex macroelement and an edge macroelement are shown in Fig. 1.


Double complexes and local cochain projections.

Falk RS, Winther R - Numer Methods Partial Differ Equ (2014)

(a) Vertex macroelement and (b) edge macroelement.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4401005&req=5

fig01: (a) Vertex macroelement and (b) edge macroelement.
Mentions: A vertex macroelement and an edge macroelement are shown in Fig. 1.

Bottom Line: However, an undesired property of these bounded projections is that, in contrast to the canonical projections, they are nonlocal.The purpose of this article is to discuss a recent alternative construction of bounded cochain projections, which also are local.A key tool for the new construction is the structure of a double complex, resembling the Čech-de Rham double complex of algebraic topology.

View Article: PubMed Central - PubMed

Affiliation: Department of Mathematics, Rutgers University Piscataway, New Jersey, 08854.

No MeSH data available.