Finite Volume Methods for Diiusion Convection Equations on General Meshes
abstract Error estimates for the approximate solution of stationary or evo-lutive convection diiusion equations using a nite volume scheme on a general non structured mesh are presented here. These estimates only require a piece-wise regularity of the exact solution.
Finite volume approximation of a class of variational inequalities
We prove here convergence results for the approximate finite volume solutions of a diffusion problem with mixed Dirichlet, Neumann and Signorini boundary conditions which is formulated as a variational inequality. The convergence result is also shown to be easily adapted to the case of the obstacle problem which also writes as a variational inequality. An error estimate of order one with respect to the mesh size is given when the solutions to the continuous problems belong to H 2 (Ω).
Coherent pulsed injection seeding of two gain-switched semiconductor lasers
High-power, narrow-spectrum, short pulses at a wavelength near 830 nm are needed for optical logic applications. The authors report the generation of two coherent trains of pulses by pulsed injection seeding of two gain-switched semiconductor lasers with one mode-locked master oscillator. The available power was doubled and both lasers emit in nearly identical spectral lines. Short pulses (30-50 ps) are generated at a repetition rate of 1.9 GHz. The spectrum is reduced to a single mode cluster and shows a 1.7 AA wide chirp suitable for pulse compression. The peak power is 0.1 W for each pulse train. The capability of this technique for coherent power combining is demonstrated.<<ETX>>