Introduces a conforming liftings framework that bridges virtual-function and fully discrete convergence analysis techniques for polytopal methods and demonstrates it on a model problem while linking to discrete differential complexes.
Topics in structure-preserving discretiza- tion
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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Key challenges and bridges among convergence analysis techniques for polytopal methods
Introduces a conforming liftings framework that bridges virtual-function and fully discrete convergence analysis techniques for polytopal methods and demonstrates it on a model problem while linking to discrete differential complexes.
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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.