1 citations · 1 across the 4 of their papers we have counts for
5 papers
Hardy inequalities for inverse square potentials with countable number of singularities
Cristian Cazacu, Aurora Marica
The Hardy Inequality (HI) for potentials with countably many singularities of the form is not a trivial issue. In principle, the more…
Propagation of one and two-dimensional discrete waves under finite difference approximation
Umberto Biccari, Aurora Marica, Enrique Zuazua
We analyze the propagation properties of the numerical versions of one and two-dimensional wave equations, semi-discretized in space by finite difference schemes. We focus on high-…
On the quadratic finite element approximation of 1-d waves: propagation, observation and control
Aurora Marica, Enrique Zuazua
We study the propagation, observation and control properties of the 1-d wave equation on a bounded interval discretized in space using the quadratic classical finite element approx…
Localized solutions and filtering mechanisms for the discontinuous Galerkin semi-discretizations of the 1-d wave equation
Aurora-Mihaela Marica, Enrique Zuazua
We perform a complete Fourier analysis of the semi-discrete 1-d wave equation obtained through a P1 discontinuous Galerkin (DG) approximation of the continuous wave equation on an…
High frequency wave packets for the Schrödinger equation and its numerical approximations
Aurora-Mihaela Marica, Enrique Zuazua
We build Gaussian wave packets for the linear Schrödinger equation and its finite difference space semi-discretization and illustrate the lack of uniform dispersive properties of t…