218 citations
- Universidade do Estado do Rio de JaneiroBR9 papers
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Showing 2025 · math.NAShow all
3 papers · 2 filters
math.NA2025★ 6 cited
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…
math.NA2025★ 38 cited
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…
math.NA2025★ 23 cited
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…