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Doctoral Thesis Developed at LabMeC
Omar Yesid Duran Triana (2017), Development of a surrogate multiscale reservoir simulator coupled with geomechanics
Paulo Cesar de Alvarenga Lucci (2015), Simulação Computacional de Propagação de Fraturas em Meios Porosos
Diogo Lira Cecílio (2014), Modelagem Elasto Plástica Aplicada a Estabilidade Numérica de Estabilidade de Poços de Petróleo
Agnaldo Monteiro Farias (2014), Novas Formulações de Elementos Finitos e Simulação Multifísica
Denise de Siqueira (2012), Espaços de elementos finitos de alta ordem do tipo HDiv e HCurl
João Luis Gonçalves (2011), Indicadores de Erro a Posteriori na Aproximação de Funcionais de Soluções de Problemas Elípticos no Contexto do Método de Galerkin Descontínuo hp-Adaptativo
Tiago Luis Duarte Forti (2010), Aplicações dos métodos de elementos finitos contínuo e Galerkin descontínuo combinados
Publications on Referred Journals
* P. R. B. Devloo, C. O. Faria, A. M. Farias, S. M. Gomes, O. Durán. An object-oriented framework for multiphysics problems combining different approximation spaces. Finite Elements in Analysis and Design, Finite Elements in Analysis and Design, 2018. pdf
* P. R. B. Devloo, C. O. Faria, A. M. Farias, S. M. Gomes, A. F. D. Loula, S. M. C. Malta. On continuous, discontinuous, mixed and primal hybrid finite element methods for second order elliptic problems. International Journal for Numerical Methods in Engineering, v. 115 (9):1081-1107, 2018. pdf
* Devloo, P. R. B.; DURÁN, O. ; GOMES, S. M. ; SHAUER, N.. Mixed finite element approximations based on 3-D hp-adaptive curved meshes with two types of H(div)-conforming spaces. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, v. 113, p. 1045-1060, 2018. pdf
* FARIAS, AGNALDO M. ; DEVLOO, PHILIPPE R.B. ; GOMES, SÔNIA M. ; DE SIQUEIRA, DENISE ; CASTRO, DOUGLAS A.. Two dimensional mixed finite element approximations for elliptic problems with enhanced accuracy for the potential and flux divergence. COMPUTERS & MATHEMATICS WITH APPLICATIONS, v. 74, p. 3283-3295, 2017. pdf
* FORTI, TIAGO L.D. ; FARIAS, AGNALDO M. ; DEVLOO, PHILIPPE R.B. ; GOMES, SÔNIA M.. A comparative numerical study of different finite element formulations for 2D model elliptic problems: Continuous and discontinuous Galerkin, mixed and hybrid methods. Finite Elements in Analysis and Design, v. 115, p. 9-20, 2016. pdf
* CASTRO, DOUGLAS A. ; DEVLOO, PHILIPPE R.B. ; FARIAS, AGNALDO M. ; M. GOMES, SONIA ; DURÁN, OMAR. Hierarchical high order finite element bases for H(div) spaces based on curved meshes for two-dimensional regions or manifolds. Journal of Computational and Applied Mathematics, v. 301, p. 241-258, 2016. pdf
* DEVLOO, PHILIPPE R.B.; FARIAS, AGNALDO M. ; GOMES, SÔNIA M. ; DE SIQUEIRA, DENISE. Two-dimensional hp adaptive finite element spaces for mixed formulations. Mathematics and Computers in Simulation, v. 126, p. 104-122, 2016. pdf
* CASTRO, D. A. ; DEVLOO, P. R. B. ; Agnaldo Monteiro Farias ; Sonia Maria Gomes ; SIQUEIRA, D. ; DURÁN, O.. Three dimensional hierarchical mixed finite element approximations with enhanced primal variable accuracy. Computer Methods in Applied Mechanics and Engineering, v. 306, p. 479-502, 2016. pdf
* CECÍLIO, DIOGO L. ; DEVLOO, PHILIPPE R.B. ; GOMES, SÔNIA M. ; DOS SANTOS, ERICK R.S. ; SHAUER, NATHAN. An improved numerical integration algorithm for elastoplastic constitutive equations. Computers and Geotechnics, v. 64, p. 1-9, 2015. pdf
* BORIN, EDSON ; DEVLOO, PHILIPPE R.B. ; VIEIRA, GILVAN S. ; SHAUER, NATHAN. Accelerating engineering software on modern multi-core processors. Advances in Engineering Software (1992), v. 84, p. 77-84, 2015. pdf
* DÍAZ CALLE, JORGE L. ; DEVLOO, PHILIPPE R.B. ; GOMES, SÔNIA M.. Implementation of continuous hp-adaptive finite element spaces without limitations on hanging sides and distribution of approximation orders. Computers & Mathematics with Applications (1987), v. 70, p. 1051-1069, 2015. pdf
* Ayala Bravo, C. M. A. ; PAVANELLO, R. ; DEVLOO, P. R. B. ; Calle, J. L. D.. Definition of a P-interpolating space of hierarchical bases of finite elements on the pyramid. Linear Algebra and its Applications, v. 460, p. 174-204, 2014. pdf
* DEVLOO, PHILIPPE R.B.; FARIAS, AGNALDO M. ; GOMES, SÔNIA M. ; GONÇALVES, JOÃO L.. Application of a combined continuous-discontinuous Galerkin finite element method for the solution of the Girkmann problem. Computers & Mathematics with Applications (1987), v. 65, p. 1786-1794, 2013. pdf
* GONÇALVES, J.L ; GOMES, S. M. ; DEVLOO, P. R. B.. A goal-oriented hp-adaptive discontinuous Galerkin approach for biharmonic problems. International Journal for Numerical Methods in Engineering, v. 97, p. 274–297, 2013. pdf
* SIQUEIRA, D. ; DEVLOO, P. R. B. ; GOMES, S. M.. A new procedure for the construction of hierarchical high order Hdiv and Hcurl finite element spaces. Journal of Computational and Applied Mathematics, v. 236, p. 204-214, 2012. pdf
* DEVLOO, P. R. B.; BRAVO, C. M. A. A. ; RYLO, E. C.. Systematic and generic construction of shape functions for p-adaptive meshes of multidimensional finite elements. Computer Methods in Applied Mechanics and Engineering, v. 198, p. 1716-1725, 2009. pdf
Reports
DURAN, O. Y., DEVLOO, P. R. B., GOMES, S. M., VALENTIN, F., A multiscale hybrid method for Darcy's problems using mixed finite element local solvers report
DEVLOO, P. R. B., DURAN, O. Y., FARIAS, A. M., GOMES, S. M., Effects of mesh deformation on the accuracy of mixed finite element approximations for 3D Darcy's flows report
CARVALHO, P., DEVLOO, P. R. B., GOMES, S. M., On the use of balanced H(div)-L2 pair of approximation spaces for divergence-free simulations of Stokes and coupled Stokes-Darcy equations report
DEVLOO, P. R. B., FARIAS, A. M., GOMES, S. M., A remark concerning divergence accuracy order for H(div)-conforming finite element flux approximations report