38 citations · 67 across the 6 of their papers we have counts for
6 papers
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…
Electron Landau damping in a laboratory dipole magnetic field plasma
Nikolay I. Grishanov, Abimael F. D. Loula, Carlos A. De Azevedo +1
Transverse and longitudinal dielectric permittivity elements are derived for radio frequency waves in a laboratory dipole magnetic field plasma (LDMFP) accounting for the finite ri…
Collisionless wave dissipation in a D-shaped tokamak with Soloviev type equilibrium
Nikolay I. Grishanov, Abimael F. D. Loula, Alexandre L. Madureira +1
Parallel permittivity elements are derived for radio frequency waves in an axisymmetric D-shaped tokamak with Soloviev type equilibrium under arbitrary aspect ratio, arbitrary elon…
Influence of bounce resonance effects on the cyclotron wave instabilities in dipole magnetospheric plasmas with anisotropic temperature
Nikolay I. Grishanov, Marco A. Raupp, Abimael F. D. Loula +1
In this paper, we derive the dispersion equations for field-aligned cyclotron waves in an axisymmetric dipole magnetospheric plasmas with both the bi-Maxwellian and bi-Lorentzian d…