4 papers
Numerical analysis of a locking-free primal hybrid method for linear elasticity with -conforming stress recovery
Giovanni Taraschi, Maicon Ribeiro Correa
In this work, we study a primal hybrid finite element method for the approximation of linear elasticity problems, posed in terms of displacement, an auxiliary pressure field, and a…
On Finite Element Methods for Heterogeneous Elliptic Problems
Abimael F. D. Loula, Maicon R. Correa, João N. C. Guerreiro +1
Dealing with variational formulations of second order elliptic problems with discontinuous coefficients, we recall a single field minimization problem of an extended functional pre…
Unconditionally Stable Mixed Finite Element Methods for Darcy Flow
Maicon R. Correa, Abimael F. D. Loula
Unconditionally stable finite element methods for Darcy flow are derived by adding least-squares residual forms of the governing equations to the classical mixed formulations. The…
Stabilized velocity post-processings for Darcy flow in heterogeneous porous media
Maicon R. Correa, Abimael F. D. Loula
Stable and accurate finite element methods are presented for Darcy flow in heterogeneous porous media with an interface of discontinuity of the hydraulic conductivity tensor. Accur…