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08/02/2023
An Eulerian finite element method for the linearized Navier–Stokes problem in an evolving domain
The paper addresses an error analysis of an Eulerian finite element meth...
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07/04/2023
A tangential and penalty-free finite element method for the surface Stokes problem
Surface Stokes and Navier-Stokes equations are used to model fluid flow ...
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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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05/10/2022
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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10/21/2021
A CutFEM divergence–free discretization for the Stokes problem
We construct and analyze a CutFEM discretization for the Stokes problem ...
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09/30/2021
The Scott-Vogelius Method for Stokes Problem on Anisotropic Meshes
This paper analyzes the Scott-Vogelius divergence-free element pair on a...
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05/21/2021
A divergence-free finite element method for the Stokes problem with boundary correction
This paper constructs and analyzes a boundary correction finite element ...
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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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08/14/2020
Divergence–free Scott–Vogelius elements on curved domains
We construct and analyze an isoparametric finite element pair for the St...
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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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03/18/2020