Johnny Guzmán

78 papers Journal 78

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Discrete Poincare and Bogovskii operators on cochains and Whitney forms. CoRR Johnny Guzmán, Anil N. Hirani, Bingyan Liu, Pratyush Potu
2025	J	`jnl`	A Framework for Analysis of DEC Approximations to Hodge-Laplacian Problems using Generalized Whitney Forms. CoRR Johnny Guzmán, Pratyush Potu
2025	J	`jnl`	A local Fortin projection for the Scott-Vogelius elements on general meshes. CoRR Franziska Eickmann, Johnny Guzmán, Michael Neilan, L. Ridgway Scott, Tabea Tscherpel
2025	J	`jnl`	An Improved Robin-Robin Coupling Method for Parabolic-Parabolic Interface Problems. CoRR Erik Burman, Miguel A. Fernández, Johnny Guzmán, Sijing Liu
2025	J	`jnl`	Estimates of discrete time derivatives for the parabolic-parabolic Robin-Robin coupling method. Numer. Algorithms Erik Burman, Rebecca Durst, Miguel A. Fernández, Johnny Guzmán, Sijing Liu
2025	J	`jnl`	Local L2-bounded commuting projections using discrete local problems on Alfeld splits. CoRR Alexandre Ern, Johnny Guzmán, Pratyush Potu, Martin Vohralík
2025	J	`jnl`	Obtaining higher-order Galerkin accuracy when the boundary is polygonally approximated. J. Num. Math. Todd F. Dupont, Johnny Guzmán, L. Ridgway Scott
2025	J	`jnl`	Robin-Robin Loose Coupling for Incompressible Fluid-Structure Interaction: Non-Linear Setting and Nearly-Optimal Error Analysis. J. Sci. Comput. Erik Burman, Rebecca Durst, Miguel A. Fernández, Johnny Guzmán, Oscar Ruz
2024	J	`jnl`	A discrete elasticity complex on three-dimensional Alfeld splits. Numerische Mathematik Snorre H. Christiansen, Jay Gopalakrishnan, Johnny Guzmán, Kaibo Hu
2024	J	`jnl`	A second-order correction method for loosely coupled discretizations applied to parabolic-parabolic interface problems. CoRR Erik Burman, Rebecca Durst, Miguel A. Fernández, Johnny Guzmán, Sijing Liu
2024	J	`jnl`	Discrete Poincaré inequalities: a review on proofs, equivalent formulations, and behavior of constants. CoRR Alexandre Ern, Johnny Guzmán, Pratyush Potu, Martin Vohralík
2024	J	`jnl`	Estimates of discrete time derivatives for the parabolic-parabolic Robin-Robin coupling method. CoRR Erik Burman, Rebecca Durst, Miguel A. Fernández, Johnny Guzmán, Sijing Liu
2024	J	`jnl`	Implicit-explicit Crank-Nicolson scheme for Oseen's equation at high Reynolds number. CoRR Erik Burman, Deepika Garg, Johnny Guzmán
2024	J	`jnl`	The Johnson-Mercier elasticity element in any dimensions. CoRR Jay Gopalakrishnan, Johnny Guzmán, Jeonghun J. Lee
2023	J	`jnl`	A Note on the Shape Regularity of Worsey-Farin Splits. J. Sci. Comput. Sining Gong, Johnny Guzmán, Michael Neilan
2023	J	`jnl`	Discrete Elasticity Exact Sequences on Worsey-Farin splits. CoRR Sining Gong, Jay Gopalakrishnan, Johnny Guzmán, Michael Neilan
2023	J	`jnl`	Implicit-Explicit Time Discretization for Oseen's Equation at High Reynolds Number with Application to Fractional Step Methods. SIAM J. Numer. Anal. Erik Burman, Deepika Garg, Johnny Guzmán
2023	J	`jnl`	Loosely coupled, non-iterative time-splitting scheme based on Robin-Robin coupling: Unified analysis for parabolic/parabolic and parabolic/hyperbolic problems. J. Num. Math. Erik Burman, Rebecca Durst, Miguel A. Fernández, Johnny Guzmán
2022	J	`jnl`	A Note on the Shape Regularity of Worsey-Farin Splits. CoRR Sining Gong, Johnny Guzmán, Michael Neilan
2022	J	`jnl`	Continuous Interior Penalty stabilization for divergence-free finite element methods. CoRR Gabriel R. Barrenechea, Erik Burman, Ernesto Cáceres, Johnny Guzmán
2022	J	`jnl`	Convergence of Lagrange Finite Element Methods for Maxwell Eigenvalue Problem in 3D. CoRR Daniele Boffi, Sining Gong, Johnny Guzmán, Michael Neilan
2022	J	`jnl`	Exact sequences on Worsey-Farin splits. Math. Comput. Johnny Guzmán, Anna Lischke, Michael Neilan
2022	J	`jnl`	Fully discrete loosely coupled Robin-Robin scheme for incompressible fluid-structure interaction: stability and error analysis. Numerische Mathematik Erik Burman, Rebecca Durst, Miguel A. Fernández, Johnny Guzmán
2022	J	`jnl`	Hybridization and postprocessing in finite element exterior calculus. Math. Comput. Gerard Awanou, Maurice S. Fabien, Johnny Guzmán, Ari Stern
2021	J	`jnl`	A Pressure-Robust Discretization of Oseen's Equation Using Stabilization in the Vorticity Equation. SIAM J. Numer. Anal. Naveed Ahmed, Gabriel R. Barrenechea, Erik Burman, Johnny Guzmán, Alexander Linke, Christian Merdon
2021	J	`jnl`	Local L CoRR Douglas N. Arnold, Johnny Guzmán
2021	J	`jnl`	Loosely coupled, non-iterative time-splitting scheme based on Robin-Robin coupling: unified analysis for parabolic/parabolic and parabolic/hyperbolic problems. CoRR Erik Burman, Rebecca Durst, Miguel A. Fernández, Johnny Guzmán
2021	J	`jnl`	Low-order divergence-free approximations for the Stokes problem on Worsey-Farin and Powell-Sabin splits. CoRR Maurice S. Fabien, Johnny Guzmán, Michael Neilan, Ahmed Zytoon
2020	J	`jnl`	A discrete elasticity complex on three-dimensional Alfeld splits. CoRR Snorre H. Christiansen, Jay Gopalakrishnan, Johnny Guzmán, Kaibo Hu
2020	J	`jnl`	A pressure-robust discretization of Oseen's equation using stabilization in the vorticity equation. CoRR Naveed Ahmed, Gabriel R. Barrenechea, Erik Burman, Johnny Guzmán, Alexander Linke, Christian Merdon
2020	J	`jnl`	Convergence of Lagrange finite elements for the Maxwell Eigenvalue Problem in 2D. CoRR Daniele Boffi, Johnny Guzmán, Michael Neilan
2020	J	`jnl`	Estimation of the continuity constants for Bogovskiĭ and regularized Poincaré integral operators. CoRR Johnny Guzmán, Abner J. Salgado
2020	J	`jnl`	Exact sequences on Worsey-Farin Splits. CoRR Johnny Guzmán, Anna Lischke, Michael Neilan
2020	J	`jnl`	Exact smooth piecewise polynomial sequences on Alfeld splits. Math. Comput. Guosheng Fu, Johnny Guzmán, Michael Neilan
2020	J	`jnl`	Fully discrete loosely coupled Robin-Robin scheme for incompressible fluid-structure interaction: stability and error analysis. CoRR Erik Burman, Rebecca Durst, Miguel A. Fernández, Johnny Guzmán
2020	J	`jnl`	Hybridization and postprocessing in finite element exterior calculus. CoRR Gerard Awanou, Maurice S. Fabien, Johnny Guzmán, Ari Stern
2020	J	`jnl`	Implicit-explicit multistep formulations for finite element discretisations using continuous interior penalty. CoRR Erik Burman, Johnny Guzmán
2020	J	`jnl`	New Stability Estimates for an Unfitted Finite Element Method for Two-Phase Stokes Problem. SIAM J. Numer. Anal. Ernesto Cáceres, Johnny Guzmán, Maxim A. Olshanskii
2020	J	`jnl`	Obtaining higher-order Galerkin accuracy when the boundary is polygonally approximated. CoRR Todd F. Dupont, Johnny Guzmán, L. Ridgway Scott
2019	J	`jnl`	L CoRR Gabriel R. Barrenechea, Erik Burman, Johnny Guzmán
2019	J	`jnl`	New stability estimates for an unfitted finite element method for two-phase Stokes problem. CoRR Ernesto Cáceres, Johnny Guzmán, Maxim A. Olshanskii
2019	J	`jnl`	Stability and error analysis of a splitting method using Robin-Robin coupling applied to a fluid-structure interaction problem. CoRR Erik Burman, Rebecca Durst, Johnny Guzmán
2019	J	`jnl`	The Scott-Vogelius finite elements revisited. Math. Comput. Johnny Guzmán, L. Ridgway Scott
2018	J	`jnl`	Analysis of the Finite Element Method for the Laplace-Beltrami Equation on Surfaces with Regions of High Curvature Using Graded Meshes. J. Sci. Comput. Johnny Guzmán, Alexandre L. Madureira, Marcus Sarkis, Shawn W. Walker
2018	J	`jnl`	Inf-Sup Stable Finite Elements on Barycentric Refinements Producing Divergence-Free Approximations in Arbitrary Dimensions. SIAM J. Numer. Anal. Johnny Guzmán, Michael Neilan
2018	J	`jnl`	Inf-sup stability of geometrically unfitted Stokes finite elements. Math. Comput. Johnny Guzmán, Maxim A. Olshanskii
2017	J	`jnl`	A Finite Element Method for High-Contrast Interface Problems with Error Estimates Independent of Contrast. J. Sci. Comput. Johnny Guzmán, Manuel A. Sánchez, Marcus Sarkis
2017	J	`jnl`	Special Issue in Honor of Professor Chi-Wang Shu. J. Sci. Comput. Sigal Gottlieb, Johnny Guzmán, Fengyan Li, Jennifer K. Ryan
2016	J	`jnl`	Chip Firing on General Invertible Matrices. SIAM J. Discret. Math. Johnny Guzmán, Caroline J. Klivans
2016	J	`jnl`	Discrete extension operators for mixed finite element spaces on locally refined meshes. Math. Comput. Mark Ainsworth, Johnny Guzmán, Francisco-Javier Sayas
2016	J	`jnl`	On the accuracy of finite element approximations to a class of interface problems. Math. Comput. Johnny Guzmán, Manuel A. Sánchez, Marcus Sarkis
2015	J	`jnl`	Chip-firing and energy minimization on M-matrices. J. Comb. Theory A Johnny Guzmán, Caroline J. Klivans
2015	J	`jnl`	Max-Norm Stability of Low Order Taylor-Hood Elements in Three Dimensions. J. Sci. Comput. Johnny Guzmán, Manuel A. Sánchez
2014	J	`jnl`	Conforming and divergence-free Stokes elements on general triangular meshes. Math. Comput. Johnny Guzmán, Michael Neilan
2014	J	`jnl`	Multi-scale Discontinuous Galerkin Method for Solving Elliptic Problems with Curvilinear Unidirectional Rough Coefficients. J. Sci. Comput. Yifan Zhang, Wei Wang, Johnny Guzmán, Chi-Wang Shu
2014	J	`jnl`	Symmetric and conforming mixed finite elements for plane elasticity using rational bubble functions. Numerische Mathematik Johnny Guzmán, Michael Neilan
2013	J	`jnl`	A Note on the Ladyženskaja-Babuška-Brezzi Condition. J. Sci. Comput. Johnny Guzmán, Abner J. Salgado, Francisco-Javier Sayas
2012	J	`jnl`	Coupling of Raviart-Thomas and Hybridizable Discontinuous Galerkin Methods with BEM. SIAM J. Numer. Anal. Bernardo Cockburn, Johnny Guzmán, Francisco-Javier Sayas
2012	J	`jnl`	Pointwise error estimates of finite element approximations to the Stokes problem on convex polyhedra. Math. Comput. Johnny Guzmán, Dmitriy Leykekhman
2011	J	`jnl`	A Mixed Method for the Biharmonic Problem Based On a System of First-Order Equations. SIAM J. Numer. Anal. Edwin M. Behrens, Johnny Guzmán
2011	J	`jnl`	A New Family of Mixed Methods for the Reissner-Mindlin Plate Model Based on a System of First-Order Equations. J. Sci. Comput. Edwin M. Behrens, Johnny Guzmán
2011	J	`jnl`	Local energy estimates for the finite element method on sharply varying grids. Math. Comput. Alan Demlow, Johnny Guzmán, Alfred H. Schatz
2011	J	`jnl`	Symmetric Nonconforming Mixed Finite Elements for Linear Elasticity. SIAM J. Numer. Anal. Jay Gopalakrishnan, Johnny Guzmán
2010	J	`jnl`	A Unified Analysis of Several Mixed Methods for Elasticity with Weak Stress Symmetry. J. Sci. Comput. Johnny Guzmán
2010	J	`jnl`	A new elasticity element made for enforcing weak stress symmetry. Math. Comput. Bernardo Cockburn, Jayadeep Gopalakrishnan, Johnny Guzmán
2010	J	`jnl`	Optimal Convergence of the Original DG Method on Special Meshes for Variable Transport Velocity. SIAM J. Numer. Anal. Bernardo Cockburn, Bo Dong, Johnny Guzmán, Jianliang Qian
2009	J	`jnl`	A Hybridizable Discontinuous Galerkin Method for Steady-State Convection-Diffusion-Reaction Problems. SIAM J. Sci. Comput. Bernardo Cockburn, Bo Dong, Johnny Guzmán, Marco Restelli, Riccardo Sacco
2009	J	`jnl`	A Hybridizable and Superconvergent Discontinuous Galerkin Method for Biharmonic Problems. J. Sci. Comput. Bernardo Cockburn, Bo Dong, Johnny Guzmán
2009	J	`jnl`	An Analysis of the Embedded Discontinuous Galerkin Method for Second-Order Elliptic Problems. SIAM J. Numer. Anal. Bernardo Cockburn, Johnny Guzmán, See-Chew Soon, Henry K. Stolarski
2009	J	`jnl`	Hölder estimates for Green's functions on convex polyhedral domains and their applications to finite element methods. Numerische Mathematik Johnny Guzmán, Dmitriy Leykekhman, Jürgen Rossmann, Alfred H. Schatz
2009	J	`jnl`	Sub-optimal Convergence of Non-symmetric Discontinuous Galerkin Methods for Odd Polynomial Approximations. J. Sci. Comput. Johnny Guzmán, Beatrice Riviere
2009	J	`jnl`	Superconvergent discontinuous Galerkin methods for second-order elliptic problems. Math. Comput. Bernardo Cockburn, Johnny Guzmán, Haiying Wang
2008	J	`jnl`	A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems. Math. Comput. Bernardo Cockburn, Bo Dong, Johnny Guzmán
2008	J	`jnl`	Error Estimates for the Runge-Kutta Discontinuous Galerkin Method for the Transport Equation with Discontinuous Initial Data. SIAM J. Numer. Anal. Bernardo Cockburn, Johnny Guzmán
2008	J	`jnl`	Local and pointwise error estimates of the local discontinuous Galerkin method applied to the Stokes problem. Math. Comput. Johnny Guzmán
2008	J	`jnl`	Optimal Convergence of the Original DG Method for the Transport-Reaction Equation on Special Meshes. SIAM J. Numer. Anal. Bernardo Cockburn, Bo Dong, Johnny Guzmán
2006	J	`jnl`	Local analysis of discontinuous Galerkin methods applied to singularly perturbed problems. J. Num. Math. Johnny Guzmán
2006	J	`jnl`	Pointwise error estimates for discontinuous Galerkin methods with lifting operators for elliptic problems. Math. Comput. Johnny Guzmán