Johnny Guzmán

According to our database, Johnny Guzmán authored at least 58 papers between 2006 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2024

A discrete elasticity complex on three-dimensional Alfeld splits.

Snorre H. Christiansen, Jay Gopalakrishnan, Johnny Guzmán, Kaibo Hu

Numerische Mathematik, February, 2024

The Johnson-Mercier elasticity element in any dimensions.

Jay Gopalakrishnan, Johnny Guzmán, Jeonghun J. Lee

CoRR, 2024

2023

Implicit-Explicit Time Discretization for Oseen's Equation at High Reynolds Number with Application to Fractional Step Methods.

Erik Burman, Deepika Garg, Johnny Guzmán

SIAM J. Numer. Anal., December, 2023

A Note on the Shape Regularity of Worsey-Farin Splits.

Sining Gong, Johnny Guzmán, Michael Neilan

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.

Erik Burman, Rebecca Durst, Miguel A. Fernández, Johnny Guzmán

J. Num. Math., 2023

Discrete Elasticity Exact Sequences on Worsey-Farin splits.

Sining Gong, Jay Gopalakrishnan, Johnny Guzmán, Michael Neilan

CoRR, 2023

2022

Hybridization and postprocessing in finite element exterior calculus.

Gerard Awanou, Maurice Fabien, Johnny Guzmán, Ari Stern

Math. Comput., September, 2022

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

Erik Burman, Rebecca Durst, Miguel A. Fernández, Johnny Guzmán

Numerische Mathematik, 2022

Exact sequences on Worsey-Farin splits.

Johnny Guzmán, Anna Lischke, Michael Neilan

Math. Comput., 2022

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

Gabriel R. Barrenechea, Erik Burman, Ernesto Cáceres, Johnny Guzmán

CoRR, 2022

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

Daniele Boffi, Sining Gong, Johnny Guzmán, Michael Neilan

CoRR, 2022

2021

A Pressure-Robust Discretization of Oseen's Equation Using Stabilization in the Vorticity Equation.

Naveed Ahmed, Gabriel R. Barrenechea, Erik Burman, Johnny Guzmán, Alexander Linke, Christian Merdon

SIAM J. Numer. Anal., 2021

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

Maurice Fabien, Johnny Guzmán, Michael Neilan, Ahmed Zytoon

CoRR, 2021

Local L²-bounded commuting projections in FEEC.

Douglas N. Arnold, Johnny Guzmán

CoRR, 2021

2020

New Stability Estimates for an Unfitted Finite Element Method for Two-Phase Stokes Problem.

Ernesto Cáceres, Johnny Guzmán, Maxim A. Olshanskii

SIAM J. Numer. Anal., 2020

Exact smooth piecewise polynomial sequences on Alfeld splits.

Guosheng Fu, Johnny Guzmán, Michael Neilan

Math. Comput., 2020

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

Erik Burman, Johnny Guzmán

CoRR, 2020

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

Johnny Guzmán, Abner J. Salgado

CoRR, 2020

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

Daniele Boffi, Johnny Guzmán, Michael Neilan

CoRR, 2020

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

Todd F. Dupont, Johnny Guzmán, L. Ridgway Scott

CoRR, 2020

2019

The Scott-Vogelius finite elements revisited.

Johnny Guzmán, L. Ridgway Scott

Math. Comput., 2019

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

Erik Burman, Rebecca Durst, Johnny Guzmán

CoRR, 2019

L²-Error estimates for H(div)-conforming schemes applied to a linearised model of inviscid incompressible flow.

Gabriel R. Barrenechea, Erik Burman, Johnny Guzmán

CoRR, 2019

2018

Inf-Sup Stable Finite Elements on Barycentric Refinements Producing Divergence-Free Approximations in Arbitrary Dimensions.

Johnny Guzmán, Michael Neilan

SIAM J. Numer. Anal., 2018

Inf-sup stability of geometrically unfitted Stokes finite elements.

Johnny Guzmán, Maxim A. Olshanskii

Math. Comput., 2018

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

Johnny Guzmán, Alexandre L. Madureira, Marcus Sarkis, Shawn W. Walker

J. Sci. Comput., 2018

2017

A Finite Element Method for High-Contrast Interface Problems with Error Estimates Independent of Contrast.

Johnny Guzmán, Manuel A. Sánchez, Marcus Sarkis

J. Sci. Comput., 2017

Special Issue in Honor of Professor Chi-Wang Shu.

Sigal Gottlieb, Johnny Guzmán, Fengyan Li, Jennifer K. Ryan

J. Sci. Comput., 2017

2016

Chip Firing on General Invertible Matrices.

Johnny Guzmán, Caroline J. Klivans

SIAM J. Discret. Math., 2016

On the accuracy of finite element approximations to a class of interface problems.

Johnny Guzmán, Manuel A. Sánchez, Marcus Sarkis

Math. Comput., 2016

Discrete extension operators for mixed finite element spaces on locally refined meshes.

Mark Ainsworth, Johnny Guzmán, Francisco-Javier Sayas

Math. Comput., 2016

2015

Max-Norm Stability of Low Order Taylor-Hood Elements in Three Dimensions.

Johnny Guzmán, Manuel A. Sánchez

J. Sci. Comput., 2015

Chip-firing and energy minimization on M-matrices.

Johnny Guzmán, Caroline J. Klivans

J. Comb. Theory, Ser. A, 2015

2014

Symmetric and conforming mixed finite elements for plane elasticity using rational bubble functions.

Johnny Guzmán, Michael Neilan

Numerische Mathematik, 2014

Conforming and divergence-free Stokes elements on general triangular meshes.

Johnny Guzmán, Michael Neilan

Math. Comput., 2014

Multi-scale Discontinuous Galerkin Method for Solving Elliptic Problems with Curvilinear Unidirectional Rough Coefficients.

Yifan Zhang, Wei Wang, Johnny Guzmán, Chi-Wang Shu

J. Sci. Comput., 2014

2013

A Note on the Ladyženskaja-Babuška-Brezzi Condition.

Johnny Guzmán, Abner J. Salgado, Francisco-Javier Sayas

J. Sci. Comput., 2013

2012

Coupling of Raviart-Thomas and Hybridizable Discontinuous Galerkin Methods with BEM.

Bernardo Cockburn, Johnny Guzmán, Francisco-Javier Sayas

SIAM J. Numer. Anal., 2012

Pointwise error estimates of finite element approximations to the Stokes problem on convex polyhedra.

Johnny Guzmán, Dmitriy Leykekhman

Math. Comput., 2012

2011

Symmetric Nonconforming Mixed Finite Elements for Linear Elasticity.

Jay Gopalakrishnan, Johnny Guzmán

SIAM J. Numer. Anal., 2011

A Mixed Method for the Biharmonic Problem Based On a System of First-Order Equations.

Edwin M. Behrens, Johnny Guzmán

SIAM J. Numer. Anal., 2011

Local energy estimates for the finite element method on sharply varying grids.

Alan Demlow, Johnny Guzmán, Alfred H. Schatz

Math. Comput., 2011

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

Edwin M. Behrens, Johnny Guzmán

J. Sci. Comput., 2011

2010

Optimal Convergence of the Original DG Method on Special Meshes for Variable Transport Velocity.

Bernardo Cockburn, Bo Dong, Johnny Guzmán, Jianliang Qian

SIAM J. Numer. Anal., 2010

A new elasticity element made for enforcing weak stress symmetry.

Bernardo Cockburn, Jayadeep Gopalakrishnan, Johnny Guzmán

Math. Comput., 2010

A Unified Analysis of Several Mixed Methods for Elasticity with Weak Stress Symmetry.

Johnny Guzmán

J. Sci. Comput., 2010

2009

A Hybridizable Discontinuous Galerkin Method for Steady-State Convection-Diffusion-Reaction Problems.

Bernardo Cockburn, Bo Dong, Johnny Guzmán, Marco Restelli, Riccardo Sacco

SIAM J. Sci. Comput., 2009

An Analysis of the Embedded Discontinuous Galerkin Method for Second-Order Elliptic Problems.

Bernardo Cockburn, Johnny Guzmán, See-Chew Soon, Henry K. Stolarski

SIAM J. Numer. Anal., 2009

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

Johnny Guzmán, Dmitriy Leykekhman, Jürgen Rossmann, Alfred H. Schatz

Numerische Mathematik, 2009

Superconvergent discontinuous Galerkin methods for second-order elliptic problems.

Bernardo Cockburn, Johnny Guzmán, Haiying Wang

Math. Comput., 2009

Sub-optimal Convergence of Non-symmetric Discontinuous Galerkin Methods for Odd Polynomial Approximations.

Johnny Guzmán, Beatrice Riviere

J. Sci. Comput., 2009

A Hybridizable and Superconvergent Discontinuous Galerkin Method for Biharmonic Problems.

Bernardo Cockburn, Bo Dong, Johnny Guzmán

J. Sci. Comput., 2009

2008

Error Estimates for the Runge-Kutta Discontinuous Galerkin Method for the Transport Equation with Discontinuous Initial Data.

Bernardo Cockburn, Johnny Guzmán

SIAM J. Numer. Anal., 2008

Optimal Convergence of the Original DG Method for the Transport-Reaction Equation on Special Meshes.

Bernardo Cockburn, Bo Dong, Johnny Guzmán

SIAM J. Numer. Anal., 2008

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

Johnny Guzmán

Math. Comput., 2008

A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems.

Bernardo Cockburn, Bo Dong, Johnny Guzmán

Math. Comput., 2008

2006

Pointwise error estimates for discontinuous Galerkin methods with lifting operators for elliptic problems.

Johnny Guzmán

Math. Comput., 2006

Local analysis of discontinuous Galerkin methods applied to singularly perturbed problems.

Johnny Guzmán

J. Num. Math., 2006