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02/16/2023
Discrete Elasticity Exact Sequences on Worsey-Farin splits
We construct conforming finite element elasticity complexes on Worsey-Fa...
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06/19/2022
Analysis of curvature approximations via covariant curl and incompatibility for Regge metrics
The metric tensor of a Riemannian manifold can be approximated using Reg...
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03/10/2022
Stability of structure-aware Taylor methods for tents
Structure-aware Taylor (SAT) methods are a class of timestepping schemes...
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11/30/2021
Minimal order H(div)-conforming velocity-vorticity approximations for incompressible fluids
We introduce a novel minimal order hybrid Discontinuous Galerkin (HDG) a...
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04/28/2021
Computing leaky modes of optical fibers using a FEAST algorithm for polynomial eigenproblems
An efficient technique to solve polynomial eigenproblems is shown to res...
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01/12/2021
Convergence analysis of some tent-based schemes for linear hyperbolic systems
Finite element methods for symmetric linear hyperbolic systems using uns...
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09/16/2020
A discrete elasticity complex on three-dimensional Alfeld splits
We construct conforming finite element elasticity complexes on the Alfel...
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02/27/2020
Structure aware Runge-Kutta time stepping for spacetime tents
We introduce a new class of Runge-Kutta type methods suitable for time s...
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06/26/2019