Wavelets and adaptive grids for the discontinuous Galerkin method. - Jorge L. Díaz Calle; Philippe R. B. Devloo; Sônia M. Gomes (Numer. Algorithms, 2005)

A finite element model for three dimensional hydraulic fracturing. - Philippe R. B. Devloo; Paulo Dore Fernandes; Sônia M. Gomes; Cedric Marcelo Augusto Ayala Bravo; Renato Gomes Damas (Math. Comput. Simul., 2006)

An adaptive multiresolution scheme with local time stepping for evolutionary PDEs. - Margarete O. Domingues; Sônia M. Gomes; Olivier Roussel; Kai Schneider (J. Comput. Phys., 2008)

Grid structure impact in sparse point representation of derivatives. - Margarete O. Domingues; Paulo Jorge S. G. Ferreira; Sônia M. Gomes; Anamaria Gomide; José R. Pereira; Pedro Pinho (J. Comput. Appl. Math., 2010)

An adaptive multiresolution method on dyadic grids: Application to transport equations. - Douglas A. Castro; Sônia M. Gomes; Jorge Stolfi (J. Comput. Appl. Math., 2012)

Application of a combined continuous-discontinuous Galerkin finite element method for the solution of the Girkmann problem. - Philippe R. B. Devloo; Agnaldo M. Farias; Sônia M. Gomes; João L. Gonçalves (Comput. Math. Appl., 2013)

A new procedure for the construction of hierarchical high order Hdiv and Hcurl finite element spaces. - Denise de Siqueira; Philippe R. B. Devloo; Sônia M. Gomes (J. Comput. Appl. Math., 2013)

Two-Dimensional H(div)-Conforming Finite Element Spaces with hp-Adaptivity. - Philippe R. B. Devloo; Agnaldo M. Farias; Sônia M. Gomes; Denise de Siqueira (ENUMATH, 2015)

Implementation of continuous hp-adaptive finite element spaces without limitations on hanging sides and distribution of approximation orders. - Jorge L. Díaz Calle; Philippe R. B. Devloo; Sônia M. Gomes (Comput. Math. Appl., 2015)

Hierarchical high order finite element bases for spaces based on curved meshes for two-dimensional regions or manifolds. - Douglas A. Castro; Philippe R. B. Devloo; Agnaldo M. Farias; Sônia M. Gomes; Omar Durán (J. Comput. Appl. Math., 2016)

Two-dimensional hp adaptive finite element spaces for mixed formulations. - Philippe R. B. Devloo; Agnaldo M. Farias; Sônia M. Gomes; Denise de Siqueira (Math. Comput. Simul., 2016)

Comparison of Adaptive Multiresolution and Adaptive Mesh Refinement Applied to Simulations of the Compressible Euler Equations. - Ralf Deiterding; Margarete O. Domingues; Sônia M. Gomes; Kai Schneider (SIAM J. Sci. Comput., 2016)

Two dimensional mixed finite element approximations for elliptic problems with enhanced accuracy for the potential and flux divergence. - Agnaldo M. Farias; Philippe R. B. Devloo; Sônia M. Gomes; Denise de Siqueira; Douglas A. Castro (Comput. Math. Appl., 2017)

A remark concerning divergence accuracy order for H(div)-conforming finite element flux approximations. - Philippe R. B. Devloo; Agnaldo M. Farias; Sônia M. Gomes (Comput. Math. Appl., 2019)

Enriched two dimensional mixed finite element models for linear elasticity with weak stress symmetry. - Philippe R. B. Devloo; Sônia M. Gomes; Thiago O. Quinelato; Shudan Tian (Comput. Math. Appl., 2020)

Error estimates for the Scaled Boundary Finite Element Method. - Karolinne O. Coelho; Philippe R. B. Devloo; Sônia M. Gomes (CoRR, 2020)

On the use of divergence balanced H(div)-L2 pair of approximation spaces for divergence-free and robust simulations of Stokes, coupled Stokes-Darcy and Brinkman problems. - Pablo G. S. Carvalho; Philippe R. B. Devloo; Sônia M. Gomes (Math. Comput. Simul., 2020)

Exact sequences of conforming finite element spaces with interface constraints for macro polytopal meshes. - Philippe R. B. Devloo; Omar Durán; Sônia M. Gomes (Comput. Math. Appl., 2023)

Stress mixed polyhedral finite elements for two-scale elasticity models with relaxed symmetry. - Philippe R. B. Devloo; Jeferson W. D. Fernandes; Sônia M. Gomes; Nathan Shauer (Comput. Math. Appl., 2024)