Sonia Maria Gomes
Sonia Maria Gomes
Professor of Applied Mathematics, Universidade Estadual de Campinas, SP Brazil
Verified email at
Cited by
Cited by
An adaptive multiresolution scheme with local time stepping for evolutionary PDEs
MO Domingues, SM Gomes, O Roussel, K Schneider
Journal of Computational Physics 227 (8), 3758-3780, 2008
On a singular nonlinear elliptic problem
SM Gomes
SIAM journal on mathematical analysis 17 (6), 1359-1369, 1986
Space–time adaptive multiresolution methods for hyperbolic conservation laws: applications to compressible Euler equations
MO Domingues, SM Gomes, O Roussel, K Schneider
Applied numerical mathematics 59 (9), 2303-2321, 2009
Adaptive multiresolution methods
MO Domingues, SM Gomes, O Roussel, K Schneider
ESAIM: Proceedings 34, 1-96, 2011
A new procedure for the construction of hierarchical high order Hdiv and Hcurl finite element spaces
D De Siqueira, PRB Devloo, SM Gomes
Journal of Computational and Applied Mathematics 240, 204-214, 2013
A finite element model for three dimensional hydraulic fracturing
PRB Devloo, PD Fernandes, SM Gomes, CMAA Bravo, RG Damas
Mathematics and Computers in Simulation 73 (1-4), 142-155, 2006
A fully adaptive multiresolution scheme for shock computations
MK Kaibara, SM Gomes
Godunov Methods, 497-503, 2001
Convergence estimates for the wavelet Galerkin method
SM Gomes, E Cortina
SIAM journal on numerical analysis 33 (1), 149-161, 1996
On a Class of Similarity Solutions of the Equation ut(|u|m−1ux)x with m −1
CJ Duijn, SM Gomes, Z Hongfei
IMA journal of applied mathematics 41 (2), 147-163, 1988
Wavelets and adaptive grids for the discontinuous Galerkin method
JLD Calle, PRB Devloo, SM Gomes
Numerical Algorithms 39 (1-3), 143-154, 2005
Three dimensional hierarchical mixed finite element approximations with enhanced primal variable accuracy
DA Castro, PRB Devloo, AM Farias, SM Gomes, D de Siqueira, O Durán
Computer Methods in Applied Mechanics and Engineering 306, 479-502, 2016
Some results on the convergence of sampling series based on convolution integrals
SM Gomes, E Cortina
SIAM Journal on Mathematical Analysis 26 (5), 1386-1402, 1995
Implementation of continuous hp-adaptive finite element spaces without limitations on hanging sides and distribution of approximation orders
JLD Calle, PRB Devloo, SM Gomes
Computers & Mathematics with Applications 70 (5), 1051-1069, 2015
An equation with a singular nonlinearity related to diffusion problems in one dimension
JE Bouillet, SM Gomes
Quarterly of Applied Mathematics 42 (4), 395-402, 1985
Comparison of adaptive multiresolution and adaptive mesh refinement applied to simulations of the compressible Euler equations
R Deiterding, MO Domingues, SM Gomes, K Schneider
SIAM Journal on Scientific Computing 38 (5), S173-S193, 2016
Adaptive wavelet representation and differentiation on block-structured grids
MO Domingues, SM Gomes, LMA Dı́az
Applied numerical mathematics 47 (3-4), 421-437, 2003
Interpolation on the torus using sk-splines with number theoretic knots
SM Gomes, AK Kushpel, J Levesley, DL Ragozin
Journal of approximation theory 98 (1), 56-71, 1999
An improved numerical integration algorithm for elastoplastic constitutive equations
DL Cecilio, PRB Devloo, SM Gomes, ERS dos Santos, N Shauer
Computers and Geotechnics 64, 1-9, 2015
Adaptive multiresolution or adaptive mesh refinement? A case study for 2D Euler equations
R Deiterding, MO Domingues, SM Gomes, O Roussel, K Schneider
ESAIM: Proceedings 29, 28-42, 2009
Interpolating wavelets and adaptive finite difference schemes for solving Maxwell's equations: the effects of gridding
P Pinho, MO Domingues, PJSG Ferreira, SM Gomes, A Gomide, ...
IEEE transactions on magnetics 43 (3), 1013-1022, 2007
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