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Finite Element Simulations of Logging-While-Drilling and Extra-Deep Azimuthal Resistivity Measurements using Non-Fitting Grids
(2018-04-27)
We propose a discretization technique using non-fitting grids to simulate magnetic field-based resistivity logging measurements. Non-fitting grids are convenient because they are simpler to generate and handle than fitting ...
Variational multiscale stabilization for compressible flow
(2018)
This paper presents a variational multiscale stabilization for the finite element numerical solution of the Euler and Navier-Stokes equations of compressible flow. All the components of the dual operator are considered in ...
High-accuracy adaptive modeling of the energy distribution of a meniscus-shaped cell culture in a Petri dish
(2015-12-31)
Cylindrical Petri dishes embedded in a rectangular waveguide and exposed to a polarized electromagnetic wave are often used to grow cell cultures. To guarantee the success of these cultures, it is necessary to enforce that ...
A Bochev-Dohrmann-Gunzburger stabilization method for the primitive equations of the ocean
(2013-12-31)
We introduce a low-order stabilized discretization of the primitive equations of the ocean with highly reduced computational complexity. We prove stability through a specific inf-sup condition, and weak convergence to a ...
A variational finite element model for large-eddy simulations of turbulent flows
(2013-12-31)
The authors introduce a new Large Eddy Simulation model in a channel, based on the projection on finite element spaces as filtering operation in its variational form, for a given triangulation {T h}h>0. The eddy viscosity ...