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We set up a gauge finite element formulation of the 2D steady state incompressible Stokes problem. This formulation allows to decouple the two unknowns from the equations and to take account for the boundary conditions in a non-iterative way. A finite elem ...
In this paper we propose a new technique to obtain upper and lower bounds on the energy norm of the error in the velocity field, for the Stokes problem. It relies on a splitting of the velocity error in two contributions: a projection error, that quantifie ...
This thesis is divided into two parts. In the first one the creation of a complete numerical tool, from the mesh generation to the data treatment, is presented. However time consuming this part has been, this is not the most important one. The second and m ...
This paper develops a family of preconditioners for pseudospectral approximations of pth-order linear differential operators subject to various types of boundary conditions. The approximations are based on ultraspherical polynomials with special attention ...
Society for Industrial and Applied Mathematics1998
Initial value representations are constructed to avoid the search for trajectories that are only defined in semiclassical approximations by their boundary conditions. We show how to incorporate these procedures within the full Weyl representation, so that ...
Fluid codes simulating the dynamics of magnetized plasmas with field lines terminating on the device vessel require boundary conditions that are consistent with the plasma-wall transition region. When the magnetic field strikes the wall at an oblique angle ...
We prove trace identities for commutators of operators, which are used to derive sum rules and sharp universal bounds for the eigenvalues of periodic Schrodinger operators and Schrodinger operators on immersed manifolds. In particular, we prove bounds on t ...
We investigate the role of boundary conditions in gauge theories in AdS(4). The presence of the boundary can break the gauge symmetry consistently with AdS(4) isometries. We show that, as a consequence, the gauge bosons associated to the broken symmetries ...
Printed circuits in bounded media encompass a wide range of practical structures such as discontinuities in waveguides, planar circuits embedded in shielded multilayered media or even two-dimensional printed periodic structures. The Electromagnetic (EM) mo ...
This paper presents a hybrid FEM-analytical model for the magnetic flux density, the force and torque of a Reaction Sphere (RS) actuator for satellite attitude control. The RS is a permanent magnet synchronous spherical actuator whose rotor is magnetically ...
