Johnny Guzmán

Orcid: 0000-0002-6769-2393

According to our database1, Johnny Guzmán authored at least 61 papers between 2006 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
A discrete elasticity complex on three-dimensional Alfeld splits.
Numerische Mathematik, February, 2024

Implicit-explicit Crank-Nicolson scheme for Oseen's equation at high Reynolds number.
CoRR, 2024

A second-order correction method for loosely coupled discretizations applied to parabolic-parabolic interface problems.
CoRR, 2024

Estimates of discrete time derivatives for the parabolic-parabolic Robin-Robin coupling method.
CoRR, 2024

The Johnson-Mercier elasticity element in any dimensions.
CoRR, 2024

2023
Implicit-Explicit Time Discretization for Oseen's Equation at High Reynolds Number with Application to Fractional Step Methods.
SIAM J. Numer. Anal., December, 2023

A Note on the Shape Regularity of Worsey-Farin Splits.
J. Sci. Comput., May, 2023

Loosely coupled, non-iterative time-splitting scheme based on Robin-Robin coupling: Unified analysis for parabolic/parabolic and parabolic/hyperbolic problems.
J. Num. Math., 2023

Discrete Elasticity Exact Sequences on Worsey-Farin splits.
CoRR, 2023

2022
Hybridization and postprocessing in finite element exterior calculus.
Math. Comput., September, 2022

Fully discrete loosely coupled Robin-Robin scheme for incompressible fluid-structure interaction: stability and error analysis.
Numerische Mathematik, 2022

Exact sequences on Worsey-Farin splits.
Math. Comput., 2022

Continuous Interior Penalty stabilization for divergence-free finite element methods.
CoRR, 2022

Convergence of Lagrange Finite Element Methods for Maxwell Eigenvalue Problem in 3D.
CoRR, 2022

2021
A Pressure-Robust Discretization of Oseen's Equation Using Stabilization in the Vorticity Equation.
SIAM J. Numer. Anal., 2021

Low-order divergence-free approximations for the Stokes problem on Worsey-Farin and Powell-Sabin splits.
CoRR, 2021

Local L<sup>2</sup>-bounded commuting projections in FEEC.
CoRR, 2021

2020
New Stability Estimates for an Unfitted Finite Element Method for Two-Phase Stokes Problem.
SIAM J. Numer. Anal., 2020

Exact smooth piecewise polynomial sequences on Alfeld splits.
Math. Comput., 2020

Implicit-explicit multistep formulations for finite element discretisations using continuous interior penalty.
CoRR, 2020

Estimation of the continuity constants for Bogovskiĭ and regularized Poincaré integral operators.
CoRR, 2020

Convergence of Lagrange finite elements for the Maxwell Eigenvalue Problem in 2D.
CoRR, 2020

Obtaining higher-order Galerkin accuracy when the boundary is polygonally approximated.
CoRR, 2020

2019
The Scott-Vogelius finite elements revisited.
Math. Comput., 2019

Stability and error analysis of a splitting method using Robin-Robin coupling applied to a fluid-structure interaction problem.
CoRR, 2019

L<sup>2</sup>-Error estimates for H(div)-conforming schemes applied to a linearised model of inviscid incompressible flow.
CoRR, 2019

2018
Inf-Sup Stable Finite Elements on Barycentric Refinements Producing Divergence-Free Approximations in Arbitrary Dimensions.
SIAM J. Numer. Anal., 2018

Inf-sup stability of geometrically unfitted Stokes finite elements.
Math. Comput., 2018

Analysis of the Finite Element Method for the Laplace-Beltrami Equation on Surfaces with Regions of High Curvature Using Graded Meshes.
J. Sci. Comput., 2018

2017
A Finite Element Method for High-Contrast Interface Problems with Error Estimates Independent of Contrast.
J. Sci. Comput., 2017

Special Issue in Honor of Professor Chi-Wang Shu.
J. Sci. Comput., 2017

2016
Chip Firing on General Invertible Matrices.
SIAM J. Discret. Math., 2016

On the accuracy of finite element approximations to a class of interface problems.
Math. Comput., 2016

Discrete extension operators for mixed finite element spaces on locally refined meshes.
Math. Comput., 2016

2015
Max-Norm Stability of Low Order Taylor-Hood Elements in Three Dimensions.
J. Sci. Comput., 2015

Chip-firing and energy minimization on M-matrices.
J. Comb. Theory A, 2015

2014
Symmetric and conforming mixed finite elements for plane elasticity using rational bubble functions.
Numerische Mathematik, 2014

Conforming and divergence-free Stokes elements on general triangular meshes.
Math. Comput., 2014

Multi-scale Discontinuous Galerkin Method for Solving Elliptic Problems with Curvilinear Unidirectional Rough Coefficients.
J. Sci. Comput., 2014

2013
A Note on the Ladyženskaja-Babuška-Brezzi Condition.
J. Sci. Comput., 2013

2012
Coupling of Raviart-Thomas and Hybridizable Discontinuous Galerkin Methods with BEM.
SIAM J. Numer. Anal., 2012

Pointwise error estimates of finite element approximations to the Stokes problem on convex polyhedra.
Math. Comput., 2012

2011
Symmetric Nonconforming Mixed Finite Elements for Linear Elasticity.
SIAM J. Numer. Anal., 2011

A Mixed Method for the Biharmonic Problem Based On a System of First-Order Equations.
SIAM J. Numer. Anal., 2011

Local energy estimates for the finite element method on sharply varying grids.
Math. Comput., 2011

A New Family of Mixed Methods for the Reissner-Mindlin Plate Model Based on a System of First-Order Equations.
J. Sci. Comput., 2011

2010
Optimal Convergence of the Original DG Method on Special Meshes for Variable Transport Velocity.
SIAM J. Numer. Anal., 2010

A new elasticity element made for enforcing weak stress symmetry.
Math. Comput., 2010

A Unified Analysis of Several Mixed Methods for Elasticity with Weak Stress Symmetry.
J. Sci. Comput., 2010

2009
A Hybridizable Discontinuous Galerkin Method for Steady-State Convection-Diffusion-Reaction Problems.
SIAM J. Sci. Comput., 2009

An Analysis of the Embedded Discontinuous Galerkin Method for Second-Order Elliptic Problems.
SIAM J. Numer. Anal., 2009

Hölder estimates for Green's functions on convex polyhedral domains and their applications to finite element methods.
Numerische Mathematik, 2009

Superconvergent discontinuous Galerkin methods for second-order elliptic problems.
Math. Comput., 2009

Sub-optimal Convergence of Non-symmetric Discontinuous Galerkin Methods for Odd Polynomial Approximations.
J. Sci. Comput., 2009

A Hybridizable and Superconvergent Discontinuous Galerkin Method for Biharmonic Problems.
J. Sci. Comput., 2009

2008
Error Estimates for the Runge-Kutta Discontinuous Galerkin Method for the Transport Equation with Discontinuous Initial Data.
SIAM J. Numer. Anal., 2008

Optimal Convergence of the Original DG Method for the Transport-Reaction Equation on Special Meshes.
SIAM J. Numer. Anal., 2008

Local and pointwise error estimates of the local discontinuous Galerkin method applied to the Stokes problem.
Math. Comput., 2008

A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems.
Math. Comput., 2008

2006
Pointwise error estimates for discontinuous Galerkin methods with lifting operators for elliptic problems.
Math. Comput., 2006

Local analysis of discontinuous Galerkin methods applied to singularly perturbed problems.
J. Num. Math., 2006


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