Johnny Guzmán

Publication Activity (10 Years)

Years Active: 2006-2024
Publications (10 Years): 42

Top Topics

Error Estimates

Top Venues

J. Sci. Comput.

SIAM J. Numer. Anal.

Publications

Erik Burman, Deepika Garg, Johnny Guzmán
Implicit-explicit Crank-Nicolson scheme for Oseen's equation at high Reynolds number. CoRR (2024)
Snorre H. Christiansen, Jay Gopalakrishnan, Johnny Guzmán, Kaibo Hu
A discrete elasticity complex on three-dimensional Alfeld splits. Numerische Mathematik 156 (1) (2024)
Erik Burman, Rebecca Durst, Miguel A. Fernández, Johnny Guzmán, Sijing Liu
A second-order correction method for loosely coupled discretizations applied to parabolic-parabolic interface problems. CoRR (2024)
Jay Gopalakrishnan, Johnny Guzmán, Jeonghun J. Lee
The Johnson-Mercier elasticity element in any dimensions. CoRR (2024)
Erik Burman, Rebecca Durst, Miguel A. Fernández, Johnny Guzmán, Sijing Liu
Estimates of discrete time derivatives for the parabolic-parabolic Robin-Robin coupling method. CoRR (2024)
Erik Burman, Rebecca Durst, Miguel A. Fernández, Johnny Guzmán
Loosely coupled, non-iterative time-splitting scheme based on Robin-Robin coupling: Unified analysis for parabolic/parabolic and parabolic/hyperbolic problems. J. Num. Math. 31 (1) (2023)
Sining Gong, Johnny Guzmán, Michael Neilan
A Note on the Shape Regularity of Worsey-Farin Splits. J. Sci. Comput. 95 (2) (2023)
Sining Gong, Jay Gopalakrishnan, Johnny Guzmán, Michael Neilan
Discrete Elasticity Exact Sequences on Worsey-Farin splits. CoRR (2023)
Erik Burman, Deepika Garg, Johnny Guzmán
Implicit-Explicit Time Discretization for Oseen's Equation at High Reynolds Number with Application to Fractional Step Methods. SIAM J. Numer. Anal. 61 (6) (2023)
Sining Gong, Johnny Guzmán, Michael Neilan
A Note on the Shape Regularity of Worsey-Farin Splits. CoRR (2022)
Gabriel R. Barrenechea, Erik Burman, Ernesto Cáceres, Johnny Guzmán
Continuous Interior Penalty stabilization for divergence-free finite element methods. CoRR (2022)
Daniele Boffi, Sining Gong, Johnny Guzmán, Michael Neilan
Convergence of Lagrange Finite Element Methods for Maxwell Eigenvalue Problem in 3D. CoRR (2022)
Johnny Guzmán, Anna Lischke, Michael Neilan
Exact sequences on Worsey-Farin splits. Math. Comput. 91 (338) (2022)
Gerard Awanou, Maurice Fabien, Johnny Guzmán, Ari Stern
Hybridization and postprocessing in finite element exterior calculus. Math. Comput. 92 (339) (2022)
Erik Burman, Rebecca Durst, Miguel A. Fernández, Johnny Guzmán
Fully discrete loosely coupled Robin-Robin scheme for incompressible fluid-structure interaction: stability and error analysis. Numerische Mathematik 151 (4) (2022)
Douglas N. Arnold, Johnny Guzmán
-bounded commuting projections in FEEC. CoRR (2021)
Erik Burman, Rebecca Durst, Miguel A. Fernández, Johnny Guzmán
Loosely coupled, non-iterative time-splitting scheme based on Robin-Robin coupling: unified analysis for parabolic/parabolic and parabolic/hyperbolic problems. CoRR (2021)
Maurice Fabien, Johnny Guzmán, Michael Neilan, Ahmed Zytoon
Low-order divergence-free approximations for the Stokes problem on Worsey-Farin and Powell-Sabin splits. CoRR (2021)
Naveed Ahmed, Gabriel R. Barrenechea, Erik Burman, Johnny Guzmán, Alexander Linke, Christian Merdon
A Pressure-Robust Discretization of Oseen's Equation Using Stabilization in the Vorticity Equation. SIAM J. Numer. Anal. 59 (5) (2021)
Johnny Guzmán, Anna Lischke, Michael Neilan
Exact sequences on Worsey-Farin Splits. CoRR (2020)
Gerard Awanou, Maurice Fabien, Johnny Guzmán, Ari Stern
Hybridization and postprocessing in finite element exterior calculus. CoRR (2020)
Erik Burman, Rebecca Durst, Miguel A. Fernández, Johnny Guzmán
Fully discrete loosely coupled Robin-Robin scheme for incompressible fluid-structure interaction: stability and error analysis. CoRR (2020)
Ernesto Cáceres, Johnny Guzmán, Maxim A. Olshanskii
New Stability Estimates for an Unfitted Finite Element Method for Two-Phase Stokes Problem. SIAM J. Numer. Anal. 58 (4) (2020)
Johnny Guzmán, Abner J. Salgado
Estimation of the continuity constants for Bogovskiĭ and regularized Poincaré integral operators. CoRR (2020)
Todd F. Dupont, Johnny Guzmán, L. Ridgway Scott
Obtaining higher-order Galerkin accuracy when the boundary is polygonally approximated. CoRR (2020)
Naveed Ahmed, Gabriel R. Barrenechea, Erik Burman, Johnny Guzmán, Alexander Linke, Christian Merdon
A pressure-robust discretization of Oseen's equation using stabilization in the vorticity equation. CoRR (2020)
Snorre H. Christiansen, Jay Gopalakrishnan, Johnny Guzmán, Kaibo Hu
A discrete elasticity complex on three-dimensional Alfeld splits. CoRR (2020)
Daniele Boffi, Johnny Guzmán, Michael Neilan
Convergence of Lagrange finite elements for the Maxwell Eigenvalue Problem in 2D. CoRR (2020)
Erik Burman, Johnny Guzmán
Implicit-explicit multistep formulations for finite element discretisations using continuous interior penalty. CoRR (2020)
Guosheng Fu, Johnny Guzmán, Michael Neilan
Exact smooth piecewise polynomial sequences on Alfeld splits. Math. Comput. 89 (323) (2020)
Erik Burman, Rebecca Durst, Johnny Guzmán
Stability and error analysis of a splitting method using Robin-Robin coupling applied to a fluid-structure interaction problem. CoRR (2019)
Ernesto Cáceres, Johnny Guzmán, Maxim A. Olshanskii
New stability estimates for an unfitted finite element method for two-phase Stokes problem. CoRR (2019)
Johnny Guzmán, L. Ridgway Scott
The Scott-Vogelius finite elements revisited. Math. Comput. 88 (316) (2019)
Gabriel R. Barrenechea, Erik Burman, Johnny Guzmán
-Error estimates for H(div)-conforming schemes applied to a linearised model of inviscid incompressible flow. CoRR (2019)
Johnny Guzmán, Maxim A. Olshanskii
Inf-sup stability of geometrically unfitted Stokes finite elements. Math. Comput. 87 (313) (2018)
Johnny Guzmán, Alexandre L. Madureira, Marcus Sarkis, Shawn W. Walker
Analysis of the Finite Element Method for the Laplace-Beltrami Equation on Surfaces with Regions of High Curvature Using Graded Meshes. J. Sci. Comput. 77 (3) (2018)
Johnny Guzmán, Michael Neilan
Inf-Sup Stable Finite Elements on Barycentric Refinements Producing Divergence-Free Approximations in Arbitrary Dimensions. SIAM J. Numer. Anal. 56 (5) (2018)
Sigal Gottlieb, Johnny Guzmán, Fengyan Li, Jennifer K. Ryan
Special Issue in Honor of Professor Chi-Wang Shu. J. Sci. Comput. 73 (2-3) (2017)
Johnny Guzmán, Manuel A. Sánchez, Marcus Sarkis
A Finite Element Method for High-Contrast Interface Problems with Error Estimates Independent of Contrast. J. Sci. Comput. 73 (1) (2017)
Johnny Guzmán, Manuel A. Sánchez, Marcus Sarkis
On the accuracy of finite element approximations to a class of interface problems. Math. Comput. 85 (301) (2016)
Mark Ainsworth, Johnny Guzmán, Francisco-Javier Sayas
Discrete extension operators for mixed finite element spaces on locally refined meshes. Math. Comput. 85 (302) (2016)
Johnny Guzmán, Caroline J. Klivans
Chip Firing on General Invertible Matrices. SIAM J. Discret. Math. 30 (2) (2016)
Johnny Guzmán, Manuel A. Sánchez
Max-Norm Stability of Low Order Taylor-Hood Elements in Three Dimensions. J. Sci. Comput. 65 (2) (2015)
Johnny Guzmán, Caroline J. Klivans
Chip-firing and energy minimization on M-matrices. J. Comb. Theory, Ser. A 132 (2015)
Yifan Zhang, Wei Wang, Johnny Guzmán, Chi-Wang Shu
Multi-scale Discontinuous Galerkin Method for Solving Elliptic Problems with Curvilinear Unidirectional Rough Coefficients. J. Sci. Comput. 61 (1) (2014)
Johnny Guzmán, Michael Neilan
Symmetric and conforming mixed finite elements for plane elasticity using rational bubble functions. Numerische Mathematik 126 (1) (2014)
Johnny Guzmán, Michael Neilan
Conforming and divergence-free Stokes elements on general triangular meshes. Math. Comput. 83 (285) (2014)
Johnny Guzmán, Abner J. Salgado, Francisco-Javier Sayas
A Note on the Ladyženskaja-Babuška-Brezzi Condition. J. Sci. Comput. 56 (2) (2013)
Johnny Guzmán, Dmitriy Leykekhman
Pointwise error estimates of finite element approximations to the Stokes problem on convex polyhedra. Math. Comput. 81 (280) (2012)
Bernardo Cockburn, Johnny Guzmán, Francisco-Javier Sayas
Coupling of Raviart-Thomas and Hybridizable Discontinuous Galerkin Methods with BEM. SIAM J. Numer. Anal. 50 (5) (2012)
Alan Demlow, Johnny Guzmán, Alfred H. Schatz
Local energy estimates for the finite element method on sharply varying grids. Math. Comput. 80 (273) (2011)
Edwin M. Behrens, Johnny Guzmán
A New Family of Mixed Methods for the Reissner-Mindlin Plate Model Based on a System of First-Order Equations. J. Sci. Comput. 49 (2) (2011)
Edwin M. Behrens, Johnny Guzmán
A Mixed Method for the Biharmonic Problem Based On a System of First-Order Equations. SIAM J. Numer. Anal. 49 (2) (2011)
Jay Gopalakrishnan, Johnny Guzmán
Symmetric Nonconforming Mixed Finite Elements for Linear Elasticity. SIAM J. Numer. Anal. 49 (4) (2011)
Johnny Guzmán
A Unified Analysis of Several Mixed Methods for Elasticity with Weak Stress Symmetry. J. Sci. Comput. 44 (2) (2010)
Bernardo Cockburn, Jayadeep Gopalakrishnan, Johnny Guzmán
A new elasticity element made for enforcing weak stress symmetry. Math. Comput. 79 (271) (2010)
Bernardo Cockburn, Bo Dong, Johnny Guzmán, Jianliang Qian
Optimal Convergence of the Original DG Method on Special Meshes for Variable Transport Velocity. SIAM J. Numer. Anal. 48 (1) (2010)
Johnny Guzmán, Béatrice Rivière
Sub-optimal Convergence of Non-symmetric Discontinuous Galerkin Methods for Odd Polynomial Approximations. J. Sci. Comput. 40 (1-3) (2009)
Bernardo Cockburn, Bo Dong, Johnny Guzmán, Marco Restelli, Riccardo Sacco
A Hybridizable Discontinuous Galerkin Method for Steady-State Convection-Diffusion-Reaction Problems. SIAM J. Sci. Comput. 31 (5) (2009)
Bernardo Cockburn, Johnny Guzmán, Haiying Wang
Superconvergent discontinuous Galerkin methods for second-order elliptic problems. Math. Comput. 78 (265) (2009)
Johnny Guzmán, Dmitriy Leykekhman, Jürgen Rossmann, Alfred H. Schatz
Hölder estimates for Green's functions on convex polyhedral domains and their applications to finite element methods. Numerische Mathematik 112 (2) (2009)
Bernardo Cockburn, Johnny Guzmán, See-Chew Soon, Henry K. Stolarski
An Analysis of the Embedded Discontinuous Galerkin Method for Second-Order Elliptic Problems. SIAM J. Numer. Anal. 47 (4) (2009)
Bernardo Cockburn, Bo Dong, Johnny Guzmán
A Hybridizable and Superconvergent Discontinuous Galerkin Method for Biharmonic Problems. J. Sci. Comput. 40 (1-3) (2009)
Bernardo Cockburn, Bo Dong, Johnny Guzmán
A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems. Math. Comput. 77 (264) (2008)
Johnny Guzmán
Local and pointwise error estimates of the local discontinuous Galerkin method applied to the Stokes problem. Math. Comput. 77 (263) (2008)
Bernardo Cockburn, Johnny Guzmán
Error Estimates for the Runge-Kutta Discontinuous Galerkin Method for the Transport Equation with Discontinuous Initial Data. SIAM J. Numer. Anal. 46 (3) (2008)
Bernardo Cockburn, Bo Dong, Johnny Guzmán
Optimal Convergence of the Original DG Method for the Transport-Reaction Equation on Special Meshes. SIAM J. Numer. Anal. 46 (3) (2008)
Johnny Guzmán
Pointwise error estimates for discontinuous Galerkin methods with lifting operators for elliptic problems. Math. Comput. 75 (255) (2006)
Johnny Guzmán
Local analysis of discontinuous Galerkin methods applied to singularly perturbed problems. J. Num. Math. 14 (1) (2006)