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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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05/12/2022
Continuous Interior Penalty stabilization for divergence-free finite element methods
In this paper we propose, analyze, and test numerically a pressure-robus...
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05/10/2022
A Note on the Shape Regularity of Worsey-Farin Splits
We prove Worsey-Farin refinements inherit their parent triangulations' s...
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04/22/2022
Convergence of Lagrange Finite Element Methods for Maxwell Eigenvalue Problem in 3D
We prove convergence of the Maxwell eigenvalue problem using quadratic o...
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10/15/2021
Loosely coupled, non-iterative time-splitting scheme based on Robin-Robin coupling: unified analysis for parabolic/parabolic and parabolic/hyperbolic problems
We present a loosely coupled, non-iterative time-splitting scheme based ...
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05/19/2021
Low-order divergence-free approximations for the Stokes problem on Worsey-Farin and Powell-Sabin splits
We derive low-order, inf-sup stable and divergence-free finite element a...
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04/01/2021
Local L^2-bounded commuting projections in FEEC
We construct local projections into canonical finite element spaces that...
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12/10/2020
Implicit-explicit multistep formulations for finite element discretisations using continuous interior penalty
We consider a finite element method with symmetric stabilisation for the...
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10/08/2020
Estimation of the continuity constants for Bogovskiĭ and regularized Poincaré integral operators
We study the dependence of the continuity constants for the regularized ...
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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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08/12/2020
Exact sequences on Worsey-Farin Splits
We construct several smooth finite element spaces defined on three–dimen...
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08/01/2020
Hybridization and postprocessing in finite element exterior calculus
We hybridize the methods of finite element exterior calculus for the Hod...
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07/08/2020
A pressure-robust discretization of Oseen's equation using stabilization in the vorticity equation
Discretization of Navier-Stokes' equations using pressure-robust finite ...
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07/08/2020
Fully discrete loosely coupled Robin-Robin scheme for incompressible fluid-structure interaction: stability and error analysis
We consider a fully discrete loosely coupled scheme for incompressible f...
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03/18/2020
Convergence of Lagrange finite elements for the Maxwell Eigenvalue Problem in 2D
We consider finite element approximations of the Maxwell eigenvalue prob...
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01/09/2020
Obtaining higher-order Galerkin accuracy when the boundary is polygonally approximated
We study two techniques for correcting the geometrical error associated ...
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11/15/2019
Stability and error analysis of a splitting method using Robin-Robin coupling applied to a fluid-structure interaction problem
We analyze a splitting method for a canonical fluid structure interactio...
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07/12/2019