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12/11/2021
Symmetric bases for finite element exterior calculus spaces
In 2006, Arnold, Falk, and Winther developed finite element exterior cal...
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11/03/2021
Finite element approximation of the Levi-Civita connection and its curvature in two dimensions
We construct finite element approximations of the Levi-Civita connection...
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07/12/2020
Numerically computing the index of mean curvature flow self-shrinkers
Surfaces that evolve by mean curvature flow develop singularities. These...
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03/23/2020
Charge-conserving hybrid methods for the Yang-Mills equations
The Yang-Mills equations generalize Maxwell's equations to nonabelian ga...
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06/28/2019
Constraint-preserving hybrid finite element methods for Maxwell's equations
Maxwell's equations describe the evolution of electromagnetic fields, to...
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06/14/2019