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- Guzmán, Johnny, Sánchez, Manuel A., Sarkis, Marcus. Higher-order finite element methods for elliptic problems with interfaces ESAIM: M2AN. 2016; 50 (5) : 1561-1583 . full text
- Guzmán, Johnny, Klivans, Caroline. Chip-firing and energy minimization on M-matrices Journal of Combinatorial Theory, Series A. 2015; 132 : 14-31 . full text
- Guzmán, Johnny, Sánchez, Manuel A. Max-Norm Stability of Low Order Taylor–Hood Elements in Three Dimensions J Sci Comput. 2015; 65 (2) : 598-621 . full text
- Guzmán, Johnny, Sánchez, Manuel A., Sarkis, Marcus. On the accuracy of finite element approximations to a class of interface problems Mathematics of Computation. 2015; 85 (301) : 2071-2098 . full text
- Gudi, Thirupathi, Guzmán, Johnny. Convergence analysis of the lowest order weakly penalized adaptive discontinuous Galerkin methods ESAIM: M2AN. 2014; 48 (3) : 753-764 . full text
- Zhang, Yifan, Wang, Wei, Guzmán, Johnny, Shu, Chi-Wang. Multi-scale Discontinuous Galerkin Method for Solving Elliptic Problems with Curvilinear Unidirectional Rough Coefficients J Sci Comput. 2014; 61 (1) : 42-60 . full text
- Arnold, Douglas N., Falk, Richard S., Guzmán, Johnny, Tsogtgerel, Gantumur. On the consistency of the combinatorial codifferential Trans. Amer. Math. Soc.. 2014; 366 (10) : 5487-5502 . full text
- Guzman, J., Neilan, M. Conforming and divergence-free Stokes elements in three dimensions IMA Journal of Numerical Analysis. 2013; 34 (4) : 1489-1508 . full text
- Guzmán, Johnny, Neilan, Michael. Conforming and divergence-free Stokes elements on general triangular meshes Mathematics of Computation. 2013; 83 (285) : 15-36 . full text
- Badia, S., Codina, R., Gudi, T., Guzman, J. Error analysis of discontinuous Galerkin methods for the Stokes problem under minimal regularity IMA Journal of Numerical Analysis. 2013; 34 (2) : 800-819 . full text
- Guzmán, Johnny, Neilan, Michael. Symmetric and conforming mixed finite elements for plane elasticity using rational bubble functions Numer. Math.. 2013; 126 (1) : 153-171 . full text
- Guzmán, Johnny, Salgado, Abner J., Sayas, Francisco-Javier. A Note on the Ladyženskaja-Babuška-Brezzi Condition J Sci Comput. 2012; 56 (2) : 219-229 . full text
- Johnny, G., Michael, N. A family of nonconforming elements for the Brinkman problem IMA Journal of Numerical Analysis. 2012; 32 (4) : 1484-1508 . full text
- Cockburn, Bernardo, Guzmán, Johnny, Sayas, Francisco-Javier. Coupling of Raviart--Thomas and Hybridizable Discontinuous Galerkin Methods with BEM SIAM Journal on Numerical Analysis. 2012; 50 (5) : 2778-2801 . full text
- Guzmán, J., Leykekhman, D. Pointwise error estimates of finite element approximations to the Stokes problem on convex polyhedra. Mathematics of Computation. 2012; 81 (280) : 1879-1902 . full text
- Behrens, Edwin M., Guzmán, Johnny. A Mixed Method for the Biharmonic Problem Based On a System of First-Order Equations SIAM Journal on Numerical Analysis. 2011; 49 (2) : 789-817 . full text
- Guzmán, Johnny, Leykekhman, Dmitriy, Neilan, Michael. A family of non-conforming elements and the analysis of Nitsche’s method for a singularly perturbed fourth order problem Calcolo. 2011; 49 (2) : 95-125 . full text
- Gopalakrishnan, J., Guzman, J. A second elasticity element using the matrix bubble IMA Journal of Numerical Analysis. 2011; 32 (1) : 352-372 . full text
- Gopalakrishnan, J., Guzmán, J. Symmetric Nonconforming Mixed Finite Elements for Linear Elasticity SIAM Journal on Numerical Analysis. 2011; 49 (4) : 1504-1520 . full text
- Behrens, Edwin M., Guzmán, J. A New Family of Mixed Methods for the Reissner-Mindlin Plate Model Based on a System of First-Order Equations J Sci Comput. 2010; 49 (2) : 137-166 . full text
- Guzmán, J. A Unified Analysis of Several Mixed Methods for Elasticity with Weak Stress Symmetry J Sci Comput. 2010; 44 (2) : 156-169 . full text
- Cockburn, Bernardo, Gopalakrishnan, Jayadeep, Guzmán, Johnny. A new elasticity element made for enforcing weak stress symmetry Mathematics of Computation. 2010; 79 (271) : 1331-1349 . full text
- Demlow, Alan, Guzmán, Johnny, Schatz, Alfred H. Local energy estimates for the finite element method on sharply varying grids Mathematics of Computation. 2010; 80 (273) : 1-9 . full text
- Cockburn, Bernardo, Dong, Bo, Guzmán, Johnny, Qian, Jianliang. Optimal Convergence of the Original DG Method on Special Meshes for Variable Transport Velocity SIAM Journal on Numerical Analysis. 2010; 48 (1) : 133-146 . full text
- Cockburn, Bernardo, Dong, Bo, Guzmán, Johnny, Restelli, Marco, Sacco, Riccardo. A Hybridizable Discontinuous Galerkin Method for Steady-State Convection-Diffusion-Reaction Problems SIAM J. Sci. Comput.. 2009; 31 (5) : 3827-3846 . full text
- Cockburn, Bernardo, Dong, Bo, Guzmán, Johnny. A Hybridizable and Superconvergent Discontinuous Galerkin Method for Biharmonic Problems J Sci Comput. 2009; 40 (1-3) : 141-187 . full text
- Cockburn, Bernardo, Guzmán, Johnny, Soon, See-Chew, Stolarski, Henry K. An Analysis of the Embedded Discontinuous Galerkin Method for Second-Order Elliptic Problems SIAM Journal on Numerical Analysis. 2009; 47 (4) : 2686-2707 . full text
- Guzmán, J., Leykekhman, D., Rossmann, J., Schatz, A. H. Hölder estimates for Green’s functions on convex polyhedral domains and their applications to finite element methods Numer. Math.. 2009; 112 (2) : 221-243 . full text
- Cockburn, Bernardo, Guzmán, Johnny, Wang, Haiying. Superconvergent discontinuous Galerkin methods for second-order elliptic problems Mathematics of Computation. 2009; 78 (265) : 1-1 . full text
- Cockburn, Bernardo, Dong, Bo, Guzmán, Johnny. A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems Mathematics of Computation. 2008; 77 (264) : 1887-1916 . full text
- Cockburn, Bernardo, Guzmán, Johnny. Error Estimates for the Runge–Kutta Discontinuous Galerkin Method for the Transport Equation with Discontinuous Initial Data SIAM Journal on Numerical Analysis. 2008; 46 (3) : 1364-1398 . full text
- Guzmán, J. Local and pointwise error estimates of the local discontinuous Galerkin method applied to the Stokes problem Mathematics of Computation. 2008; 77 (263) : 1293-1322 . full text
- Cockburn, Bernardo, Dong, Bo, Guzmán, Johnny. Optimal Convergence of the Original DG Method for the Transport-Reaction Equation on Special Meshes SIAM Journal on Numerical Analysis. 2008; 46 (3) : 1250-1265 . full text
- Guzmán, Johnny, Rivière, Béatrice. Sub-optimal Convergence of Non-symmetric Discontinuous Galerkin Methods for Odd Polynomial Approximations J Sci Comput. 2008; 40 (1-3) : 273-280 . full text
- Burman, E., Guzman, J., Leykekhman, D. Weighted error estimates of the continuous interior penalty method for singularly perturbed problems IMA Journal of Numerical Analysis. 2008; 29 (2) : 284-314 . full text
- Guzmán, J. Local analysis of discontinuous Galerkin methods applied to singularly perturbed problems Journal of Numerical Mathematics. 2006; 14 (1) . full text
- Guzmán, Johnny. Pointwise error estimates for discontinuous Galerkin methods with lifting operators for elliptic problems Mathematics of Computation. 2006; 75 (255) : 1067-1086 . full text
- Guzmán, J. Quadrature and Schatz’s Pointwise Estimates for Finite Element Methods BIT Numerical Mathematics. 2005; 45 (4) : 695-707 . full text