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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.


The extended macroelement for.
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fig02: The extended macroelement for.

Mentions: Alternatively, is the union of all triangles of which intersect f. An example of an extended macroelement is shown in Fig. 2.


Double complexes and local cochain projections.

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

The extended macroelement for.
© Copyright Policy - open-access
Related In: Results  -  Collection

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

fig02: The extended macroelement for.
Mentions: Alternatively, is the union of all triangles of which intersect f. An example of an extended macroelement is shown in Fig. 2.

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.