Bounded commuting projections for the 3D de Rham complex are built that preserve discrete polynomial traces and remain stable in a graph norm controlled by local oscillation near the boundary.
Princeton University Press, Princeton, NJ, 1957
2 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 2representative citing papers
Establishes equivalence of DEC cochains with generalized Whitney forms to prove convergence rates for the Hodge-Laplacian in full k-form generality on well-centered meshes.
citing papers explorer
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Bounded, Commuting, Discrete-trace Preserving Projections
Bounded commuting projections for the 3D de Rham complex are built that preserve discrete polynomial traces and remain stable in a graph norm controlled by local oscillation near the boundary.
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A Framework for Analysis of DEC Approximations to Hodge-Laplacian Problems using Generalized Whitney Forms
Establishes equivalence of DEC cochains with generalized Whitney forms to prove convergence rates for the Hodge-Laplacian in full k-form generality on well-centered meshes.