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Johnny Guzman
Johnny Guzman
Division of Applied Mathematics, Brown University
Verified email at brown.edu - Homepage
Title
Cited by
Cited by
Year
A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems
B Cockburn, B Dong, J Guzmán
Mathematics of Computation 77 (264), 1887-1916, 2008
3532008
A hybridizable discontinuous Galerkin method for steady-state convection-diffusion-reaction problems
B Cockburn, B Dong, J Guzmán, M Restelli, R Sacco
SIAM Journal on Scientific Computing 31 (5), 3827-3846, 2009
2272009
Superconvergent discontinuous Galerkin methods for second-order elliptic problems
B Cockburn, J Guzmán, H Wang
Mathematics of Computation 78 (265), 1-24, 2009
2162009
Conforming and divergence-free Stokes elements on general triangular meshes
J Guzmán, M Neilan
Mathematics of Computation 83 (285), 15-36, 2014
2092014
A new elasticity element made for enforcing weak stress symmetry
B Cockburn, J Gopalakrishnan, J Guzmán
Mathematics of Computation 79 (271), 1331-1349, 2010
1422010
Conforming and divergence-free Stokes elements in three dimensions
J Guzmán, M Neilan
IMA Journal of Numerical Analysis 34 (4), 1489-1508, 2014
1162014
Optimal convergence of the original DG method for the transport-reaction equation on special meshes
B Cockburn, B Dong, J Guzmán
SIAM Journal on Numerical Analysis 46 (3), 1250-1265, 2008
1072008
An analysis of the embedded discontinuous Galerkin method for second-order elliptic problems
B Cockburn, J Guzmán, SC Soon, HK Stolarski
SIAM journal on numerical analysis 47 (4), 2686-2707, 2009
972009
A second elasticity element using the matrix bubble
J Gopalakrishnan, J Guzmán
IMA Journal of Numerical Analysis 32 (1), 352-372, 2012
932012
Symmetric nonconforming mixed finite elements for linear elasticity
J Gopalakrishnan, J Guzmán
SIAM Journal on Numerical Analysis 49 (4), 1504-1520, 2011
922011
A family of nonconforming elements for the Brinkman problem
G Johnny, N Michael
IMA Journal of Numerical Analysis 32 (4), 1484-1508, 2012
882012
The Scott-Vogelius finite elements revisited
J Guzmán, R Scott
arXiv preprint arXiv:1705.00020, 2017
832017
Inf-sup stable finite elements on barycentric refinements producing divergence--free approximations in arbitrary dimensions
J Guzmán, M Neilan
SIAM Journal on Numerical Analysis 56 (5), 2826-2844, 2018
722018
Inf-sup stability of geometrically unfitted Stokes finite elements
J Guzmán, M Olshanskii
Mathematics of Computation 87 (313), 2091-2112, 2018
712018
A hybridizable and superconvergent discontinuous Galerkin method for biharmonic problems
B Cockburn, B Dong, J Guzmán
Journal of Scientific Computing 40 (1), 141-187, 2009
712009
H (div) conforming and DG methods for incompressible Euler’s equations
J Guzmán, CW Shu, FA Sequeira
IMA Journal of Numerical Analysis 37 (4), 1733-1771, 2017
702017
A finite element method for high-contrast interface problems with error estimates independent of contrast
J Guzmán, MA Sánchez, M Sarkis
Journal of Scientific Computing 73 (1), 330-365, 2017
642017
Local energy estimates for the finite element method on sharply varying grids
A Demlow, J Guzmán, A Schatz
Mathematics of computation 80 (273), 1-9, 2011
642011
Hölder estimates for Green’s functions on convex polyhedral domains and their applications to finite element methods
J Guzmán, D Leykekhman, J Rossmann, AH Schatz
Numerische Mathematik 112 (2), 221-243, 2009
642009
A unified analysis of several mixed methods for elasticity with weak stress symmetry
J Guzmán
Journal of Scientific Computing 44 (2), 156-169, 2010
572010
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