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2020 – today
- 2024
[j46]Snorre H. Christiansen, Jay Gopalakrishnan, Johnny Guzmán, Kaibo Hu:
A discrete elasticity complex on three-dimensional Alfeld splits. Numerische Mathematik 156(1): 159-204 (2024)- [i23]Jay Gopalakrishnan, Johnny Guzmán, Jeonghun J. Lee:
The Johnson-Mercier elasticity element in any dimensions. CoRR abs/2403.13189 (2024) - [i22]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 abs/2404.01594 (2024) - [i21]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 abs/2404.01599 (2024) - [i20]Erik Burman, Deepika Garg, Johnny Guzmán:
Implicit-explicit Crank-Nicolson scheme for Oseen's equation at high Reynolds number. CoRR abs/2405.12562 (2024) - 2023
- [j45]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): 59-77 (2023) - [j44]Sining Gong
, Johnny Guzmán, Michael Neilan:
A Note on the Shape Regularity of Worsey-Farin Splits. J. Sci. Comput. 95(2): 46 (2023) - [j43]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): 2859-2886 (2023) - [i19]Sining Gong, Jay Gopalakrishnan, Johnny Guzmán, Michael Neilan:
Discrete Elasticity Exact Sequences on Worsey-Farin splits. CoRR abs/2302.08598 (2023) - 2022
- [j42]Johnny Guzmán, Anna Lischke, Michael Neilan:
Exact sequences on Worsey-Farin splits. Math. Comput. 91(338): 2571-2608 (2022) - [j41]Gerard Awanou, Maurice Fabien, Johnny Guzmán, Ari Stern:
Hybridization and postprocessing in finite element exterior calculus. Math. Comput. 92(339): 79-115 (2022) - [j40]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): 807-840 (2022) - [i18]Daniele Boffi, Sining Gong, Johnny Guzmán, Michael Neilan:
Convergence of Lagrange Finite Element Methods for Maxwell Eigenvalue Problem in 3D. CoRR abs/2204.10876 (2022) - [i17]Sining Gong, Johnny Guzmán, Michael Neilan:
A Note on the Shape Regularity of Worsey-Farin Splits. CoRR abs/2205.05059 (2022) - [i16]Gabriel R. Barrenechea, Erik Burman, Ernesto Cáceres, Johnny Guzmán:
Continuous Interior Penalty stabilization for divergence-free finite element methods. CoRR abs/2205.06373 (2022) - 2021
- [j39]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): 2746-2774 (2021) - [i15]Douglas N. Arnold, Johnny Guzmán:
Local L2-bounded commuting projections in FEEC. CoRR abs/2104.00184 (2021) - [i14]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 abs/2105.09214 (2021) - [i13]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 abs/2110.08181 (2021) - 2020
- [j38]Guosheng Fu, Johnny Guzmán, Michael Neilan:
Exact smooth piecewise polynomial sequences on Alfeld splits. Math. Comput. 89(323): 1059-1091 (2020) - [j37]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): 2165-2192 (2020) - [i12]Todd F. Dupont, Johnny Guzmán, L. Ridgway Scott:
Obtaining higher-order Galerkin accuracy when the boundary is polygonally approximated. CoRR abs/2001.03082 (2020) - [i11]Daniele Boffi, Johnny Guzmán, Michael Neilan:
Convergence of Lagrange finite elements for the Maxwell Eigenvalue Problem in 2D. CoRR abs/2003.08381 (2020) - [i10]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 abs/2007.03846 (2020) - [i9]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 abs/2007.04012 (2020) - [i8]Gerard Awanou, Maurice Fabien, Johnny Guzmán, Ari Stern:
Hybridization and postprocessing in finite element exterior calculus. CoRR abs/2008.00149 (2020) - [i7]Johnny Guzmán, Anna Lischke, Michael Neilan:
Exact sequences on Worsey-Farin Splits. CoRR abs/2008.05431 (2020) - [i6]Snorre H. Christiansen, Jay Gopalakrishnan, Johnny Guzmán, Kaibo Hu:
A discrete elasticity complex on three-dimensional Alfeld splits. CoRR abs/2009.07744 (2020) - [i5]Johnny Guzmán, Abner J. Salgado:
Estimation of the continuity constants for Bogovskiĭ and regularized Poincaré integral operators. CoRR abs/2010.04105 (2020) - [i4]Erik Burman, Johnny Guzmán:
Implicit-explicit multistep formulations for finite element discretisations using continuous interior penalty. CoRR abs/2012.05727 (2020)
2010 – 2019
- 2019
- [j36]Johnny Guzmán, L. Ridgway Scott:
The Scott-Vogelius finite elements revisited. Math. Comput. 88(316): 515-529 (2019) - [i3]Ernesto Cáceres, Johnny Guzmán, Maxim A. Olshanskii:
New stability estimates for an unfitted finite element method for two-phase Stokes problem. CoRR abs/1906.02779 (2019) - [i2]Gabriel R. Barrenechea, Erik Burman, Johnny Guzmán:
L2-Error estimates for H(div)-conforming schemes applied to a linearised model of inviscid incompressible flow. CoRR abs/1907.05699 (2019) - [i1]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 abs/1911.06760 (2019) - 2018
- [j35]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): 1736-1761 (2018) - [j34]Johnny Guzmán, Maxim A. Olshanskii:
Inf-sup stability of geometrically unfitted Stokes finite elements. Math. Comput. 87(313): 2091-2112 (2018) - [j33]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): 2826-2844 (2018) - 2017
- [j32]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): 330-365 (2017) - [j31]Sigal Gottlieb, Johnny Guzmán, Fengyan Li, Jennifer K. Ryan:
Special Issue in Honor of Professor Chi-Wang Shu. J. Sci. Comput. 73(2-3): 459-460 (2017) - 2016
- [j30]Johnny Guzmán, Manuel A. Sánchez, Marcus Sarkis:
On the accuracy of finite element approximations to a class of interface problems. Math. Comput. 85(301): 2071-2098 (2016) - [j29]Mark Ainsworth, Johnny Guzmán, Francisco-Javier Sayas:
Discrete extension operators for mixed finite element spaces on locally refined meshes. Math. Comput. 85(302): 2639-2650 (2016) - [j28]Johnny Guzmán, Caroline J. Klivans:
Chip Firing on General Invertible Matrices. SIAM J. Discret. Math. 30(2): 1115-1127 (2016) - 2015
- [j27]Johnny Guzmán, Caroline J. Klivans:
Chip-firing and energy minimization on M-matrices. J. Comb. Theory A 132: 14-31 (2015) - [j26]Johnny Guzmán, Manuel A. Sánchez:
Max-Norm Stability of Low Order Taylor-Hood Elements in Three Dimensions. J. Sci. Comput. 65(2): 598-621 (2015) - 2014
- [j25]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): 42-60 (2014) - [j24]Johnny Guzmán, Michael Neilan:
Conforming and divergence-free Stokes elements on general triangular meshes. Math. Comput. 83(285): 15-36 (2014) - [j23]Johnny Guzmán, Michael Neilan:
Symmetric and conforming mixed finite elements for plane elasticity using rational bubble functions. Numerische Mathematik 126(1): 153-171 (2014) - 2013
- [j22]Johnny Guzmán, Abner J. Salgado, Francisco-Javier Sayas:
A Note on the Ladyženskaja-Babuška-Brezzi Condition. J. Sci. Comput. 56(2): 219-229 (2013) - 2012
- [j21]Johnny Guzmán, Dmitriy Leykekhman:
Pointwise error estimates of finite element approximations to the Stokes problem on convex polyhedra. Math. Comput. 81(280): 1879-1902 (2012) - [j20]Bernardo Cockburn, Johnny Guzmán, Francisco-Javier Sayas:
Coupling of Raviart-Thomas and Hybridizable Discontinuous Galerkin Methods with BEM. SIAM J. Numer. Anal. 50(5): 2778-2801 (2012) - 2011
- [j19]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): 137-166 (2011) - [j18]Alan Demlow, Johnny Guzmán, Alfred H. Schatz:
Local energy estimates for the finite element method on sharply varying grids. Math. Comput. 80(273): 1-9 (2011) - [j17]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): 789-817 (2011) - [j16]Jay Gopalakrishnan, Johnny Guzmán:
Symmetric Nonconforming Mixed Finite Elements for Linear Elasticity. SIAM J. Numer. Anal. 49(4): 1504-1520 (2011) - 2010
- [j15]Johnny Guzmán:
A Unified Analysis of Several Mixed Methods for Elasticity with Weak Stress Symmetry. J. Sci. Comput. 44(2): 156-169 (2010) - [j14]Bernardo Cockburn, Jayadeep Gopalakrishnan, Johnny Guzmán:
A new elasticity element made for enforcing weak stress symmetry. Math. Comput. 79(271): 1331-1349 (2010) - [j13]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): 133-146 (2010)
2000 – 2009
- 2009
- [j12]Bernardo Cockburn, Bo Dong, Johnny Guzmán:
A Hybridizable and Superconvergent Discontinuous Galerkin Method for Biharmonic Problems. J. Sci. Comput. 40(1-3): 141-187 (2009) - [j11]Johnny Guzmán, Beatrice Riviere:
Sub-optimal Convergence of Non-symmetric Discontinuous Galerkin Methods for Odd Polynomial Approximations. J. Sci. Comput. 40(1-3): 273-280 (2009) - [j10]Bernardo Cockburn, Johnny Guzmán, Haiying Wang:
Superconvergent discontinuous Galerkin methods for second-order elliptic problems. Math. Comput. 78(265): 1-24 (2009) - [j9]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): 221-243 (2009) - [j8]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): 2686-2707 (2009) - [j7]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): 3827-3846 (2009) - 2008
- [j6]Johnny Guzmán:
Local and pointwise error estimates of the local discontinuous Galerkin method applied to the Stokes problem. Math. Comput. 77(263): 1293-1322 (2008) - [j5]Bernardo Cockburn, Bo Dong, Johnny Guzmán:
A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems. Math. Comput. 77(264): 1887-1916 (2008) - [j4]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): 1250-1265 (2008) - [j3]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): 1364-1398 (2008) - 2006
- [j2]Johnny Guzmán:
Local analysis of discontinuous Galerkin methods applied to singularly perturbed problems. J. Num. Math. 14(1): 41-56 (2006) - [j1]Johnny Guzmán:
Pointwise error estimates for discontinuous Galerkin methods with lifting operators for elliptic problems. Math. Comput. 75(255): 1067-1085 (2006)
Coauthor Index
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