Ramiro Acevedo

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In this work, we analyze a mixed formulation for a time-dependent eddy current problem formulated in terms of the electric field E. We prove that the problem has a well posed weak formulation. We also show that this formulation admits a well posed saddle point structure when the constraints satisfied by the electric field in the dielectric material is(More)
In this paper, we analyze a mixed form of a time-dependent eddy current problem formulated in terms of the electric field í µí±¬. We show that this formulation admits a well-posed saddle point structure when the constraints satisfied by the primary unknown in the dielectric material are handled by means of a Lagrange multiplier. We use Nédélec edge elements(More)
Orthogonal compact-support Daubechies wavelets are employed as bases for both space and time variables in the solution of the time-dependent Schrodinger equation. Initial value conditions are enforced using special early-time wavelets analogous to edge wavelets used in boundary-value problems. It is shown that the quantum equations may be solved directly(More)
The aim of this paper is to provide a mathematical analysis of the well-known ! " $ # potential formulation for the eddy current problem. The resulting variational problem is proved to be well posed and error estimates are settled for a numerical method based on standard nodal finite elements. 1. Introduction. The mathematical and numerical analysis of(More)
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