Sonia Maria Gomes
Sonia Maria Gomes
Professor of Applied Mathematics, Universidade Estadual de Campinas, SP Brazil
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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
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 multiscale hybrid method for Darcy’s problems using mixed finite element local solvers
O Duran, PRB Devloo, SM Gomes, F Valentin
Computer methods in applied mechanics and engineering 354, 213-244, 2019
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
Adaptive multiresolution methods
MO Domingues, SM Gomes, O Roussel, K Schneider
ESAIM: Proceedings 34, 1-96, 2011
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
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
A fully adaptive multiresolution scheme for shock computations
MK Kaibara, SM Gomes
Godunov methods: theory and applications, 497-503, 2001
Wavelets and adaptive grids for the discontinuous Galerkin method
JL Díaz Calle, PRB Devloo, SM Gomes
Numerical Algorithms 39, 143-154, 2005
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
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
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
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
Hierarchical high order finite element bases for H (div) spaces based on curved meshes for two-dimensional regions or manifolds
DA Castro, PRB Devloo, AM Farias, SM Gomes, O Durán
Journal of Computational and Applied Mathematics 301, 241-258, 2016
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
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
Adaptive wavelet representation and differentiation on block-structured grids
MO Domingues, SM Gomes, LMA Dı́az
Applied numerical mathematics 47 (3-4), 421-437, 2003
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