Develops a discrete variational integrator for double-bracket dissipative systems that exactly preserves coadjoint orbits while dissipating energy.
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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.
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Discrete variational calculus for double-bracket dissipation
Develops a discrete variational integrator for double-bracket dissipative systems that exactly preserves coadjoint orbits while dissipating energy.
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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.