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Numerical simulation of two-phase flow in petroleum reservoirs using high-order CPR method coupled to a non-orthodox MPFA-D finite volume scheme
(Universidade Federal de PernambucoUFPEBrasilPrograma de Pos Graduacao em Engenharia Mecanica, 2019)
Indicadores equilibrados de erro em funcional de interesse para aproximação de problemas elípticos e parabólicos pelo método de Galerkin descontínuo
(Universidade Federal de Santa CatarinaLondrinaBrasilPrograma de Pós-Graduação em Matemática Pura e AplicadaUFSC, 2018-03)
This thesis presents theoretical and practical results on equilibrated error indicators for functional of interest in the approximation of linear elliptic problems and linear and non-linear parabolic problems by the ...
A priori and a posteriori error analyses of a pseudostress-based mixed formulation for linear elasticity
(Computers and Mathematics with Applications vol.71 no.2 585-614 2016, 2016-01-02)
In this paper we present the a priori and a posteriori error analyses of a non-standard mixed finite element method for the linear elasticity problem with non-homogeneous Dirichlet boundary conditions. More precisely, the ...
Finite-element harmonic experiments to model fractured induced anisotropy in poroelastic media
(Elsevier, 2015-01)
Fractures in a fluid-saturated poroelastic-Biot-medium can be modeled as very thin highly permeable and compliant layers within a porous background. A Biot medium containing a dense set of aligned fractures behaves as an ...
Analysis of an augmented pseudostress-based mixed formulation for a nonlinear Brinkman model of porous media flow
(Elsevier, 2015)
In this paper we introduce and analyze an augmented mixed finite element method for the two-dimensional nonlinear Brinkman model of porous media flow with mixed boundary conditions. More precisely, we extend a previous ...