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 | 122 | 2008 |

On a singular nonlinear elliptic problem SM Gomes SIAM journal on mathematical analysis 17 (6), 1359-1369, 1986 | 119 | 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 | 73 | 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 | 49 | 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 | 45 | 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 | 45 | 2013 |

Adaptive multiresolution methods MO Domingues, SM Gomes, O Roussel, K Schneider ESAIM: Proceedings 34, 1-96, 2011 | 39 | 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 | 35 | 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 | 33 | 2016 |

A fully adaptive multiresolution scheme for shock computations MK Kaibara, SM Gomes Godunov methods: theory and applications, 497-503, 2001 | 33 | 2001 |

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 | 30 | 2015 |

Wavelets and adaptive grids for the discontinuous Galerkin method JL Díaz Calle, PRB Devloo, SM Gomes Numerical Algorithms 39, 143-154, 2005 | 29 | 2005 |

Convergence estimates for the wavelet Galerkin method SM Gomes, E Cortina SIAM journal on numerical analysis 33 (1), 149-161, 1996 | 29 | 1996 |

On a Class of Similarity Solutions of the Equation *u*_{t}(|*u*|^{m−1}*u*_{x})_{x} with *m* −1CJ Duijn, SM Gomes, Z Hongfei IMA journal of applied mathematics 41 (2), 147-163, 1988 | 29 | 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 | 25 | 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 | 24 | 1995 |

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 | 23 | 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 | 23 | 1985 |

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 | 22 | 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 | 22 | 2003 |