Israel Abstract Implicit discretization of time dependent problems in computational physics, semiconductor device simulation, electromigration and fluid dynamics often gives rise to elliptic equations. Helmholtz type equations usually appear in acoustics or electromagnetics and also as a result of time discretization of the Navier-Stokes equations.
Biharmonic problems appear in elasticity and viscous flows.
These jumps were removed by the introduction of singularity layers. In order to account for the global effect of the layers we computed first the influence of each layer on each subdomain boundary, taking into account the decay or smoothing out of the influence as a function of the distance from the layer. To reduce the communication load, compression in a multiwavelet basis was applied. Nevertheless, this part of the procedure can become expensive as the number of subdomains grows considerably. The effect of these layers on other boundaries is calculated.