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Works (9)

A Stable Mixed Finite Element Method for the Simulation of Stokes Flow Using Divergence Balanced H(Div)‐L2 Pair of Approximation Spaces

International Journal for Numerical Methods in Engineering
2025-01-30 | Journal article
DOI: 10.1002/nme.7629
Contributors: Carlos H. C. Puga; Giovane Avancini; Nathan Shauer; Pablo G. S. Carvalho; Philippe R. B. Devloo
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A comparative numerical study of finite element methods resulting in mass conservation for Poisson's problem: Primal hybrid, mixed and their hybridized formulations

Computers & Mathematics with Applications
2024-09 | Journal article
DOI: 10.1016/j.camwa.2024.06.027
Contributors: Victor B. Oliari; Ricardo J. Hancco Ancori; Philippe R.B. Devloo
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Enhanced and efficient scaled boundary finite elements for mechanical problems under the action of body loads

Computer Methods in Applied Mechanics and Engineering
2024-02 | Journal article
DOI: 10.1016/j.cma.2023.116695
Contributors: Karolinne O. Coelho; Philippe R.B. Devloo; Sônia M. Gomes
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A semi‐hybrid‐mixed method for Stokes–Brinkman–Darcy flows with H(div)‐velocity fields

International Journal for Numerical Methods in Engineering
2024-01-15 | Journal article
DOI: 10.1002/nme.7363
Contributors: Pablo G. S. Carvalho; Philippe R.B. Devloo; Sônia M. Gomes
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Sensitivity analysis of a King George Island outlet glacier, South Shetlands, Antarctica

Anais da Academia Brasileira de Ciências
2023 | Journal article
DOI: 10.1590/0001-3765202320210560
Contributors: THIAGO DIAS DOS SANTOS; MATHIEU MORLIGHEM; JEFFERSON CARDIA SIMÕES; PHILIPPE REMY BERNARD DEVLOO
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An efficient construction of divergence-free spaces in the context of exact finite element de Rham sequences

Computer Methods in Applied Mechanics and Engineering
2022-12 | Journal article
DOI: 10.1016/j.cma.2022.115476
Contributors: Philippe R.B. Devloo; Jeferson W.D. Fernandes; Sônia M. Gomes; Francisco T. Orlandini; Nathan Shauer
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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

Mathematics and Computers in Simulation
2020-04 | Journal article
DOI: 10.1016/j.matcom.2019.09.002
Contributors: Pablo G.S. Carvalho; Philippe R.B. Devloo; Sônia M. Gomes
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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
2016-08 | Journal article
DOI: 10.1016/j.finel.2016.02.009
Contributors: Tiago L.D. Forti; Agnaldo M. Farias; Philippe R.B. Devloo; Sônia M. Gomes
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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
2016-08 | Journal article
DOI: 10.1016/j.cam.2016.01.053
Contributors: Douglas A. Castro; Philippe R.B. Devloo; Agnaldo M. Farias; Sônia M. Gomes; Omar Durán
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Peer review (12 reviews for 5 publications/grants)

Review activity for Advances in engineering software (5)
Review activity for Applied mathematics letters. (1)
Review activity for Computational geosciences. (2)
Review activity for Computer methods in applied mechanics and engineering. (2)
Review activity for Geoenergy science and engineering. (2)
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