Johnny Guzmàn | DeepAI

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Erik Burman
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Kaibo Hu
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Abner J. Salgado
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Naveed Ahmed
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Christian Merdon
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Ari Stern
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Gabriel R. Barrenechea
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Gerard Awanou
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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...

0 Sining Gong, et al. ∙

∙ 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...

0 Gabriel R. Barrenechea, et al. ∙

∙ 05/10/2022

A Note on the Shape Regularity of Worsey-Farin Splits

We prove Worsey-Farin refinements inherit their parent triangulations' s...

0 Sining Gong, et al. ∙

∙ 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...

0 Daniele Boffi, et al. ∙

∙ 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 ...

0 Erik Burman, et al. ∙

∙ 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...

0 Maurice Fabien, et al. ∙

∙ 04/01/2021

Local L^2-bounded commuting projections in FEEC

We construct local projections into canonical finite element spaces that...

0 Douglas N. Arnold, et al. ∙

∙ 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...

0 Erik Burman, et al. ∙

∙ 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 ...

0 Johnny Guzmàn, et al. ∙

∙ 09/16/2020

A discrete elasticity complex on three-dimensional Alfeld splits

We construct conforming finite element elasticity complexes on the Alfel...

0 Snorre H. Christiansen, et al. ∙

∙ 08/12/2020

Exact sequences on Worsey-Farin Splits

We construct several smooth finite element spaces defined on three–dimen...

0 Johnny Guzmàn, et al. ∙

∙ 08/01/2020

Hybridization and postprocessing in finite element exterior calculus

We hybridize the methods of finite element exterior calculus for the Hod...

0 Gerard Awanou, et al. ∙

∙ 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 ...

0 Naveed Ahmed, et al. ∙

∙ 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...

0 Erik Burman, et al. ∙

∙ 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...

0 Daniele Boffi, et al. ∙

∙ 01/09/2020

Obtaining higher-order Galerkin accuracy when the boundary is polygonally approximated

We study two techniques for correcting the geometrical error associated ...

0 Todd Dupont, et al. ∙

∙ 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...

0 Erik Burman, et al. ∙

∙ 07/12/2019

L^2-Error estimates for H(div)-conforming schemes applied to a linearised model of inviscid incompressible flow

In this note an error estimate in the $L^2$-norm of order $O(h^{k+\frac1...

0 Gabriel Barrenechea, et al. ∙

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