 
Summary: Parallel Adaptive Solution of a Poisson Equation with
Multiwavelets
A. Averbuch
School of Mathematical Sciences Tel Aviv University, Tel Aviv 69978, Israel
(amir@math.tau.ac.il)
E. Braverman and M. Israeli
TechnionIsrael Institute of Technology, Computer Science Department, Haifa 32000, Israel
(maelena@cs.technion.ac.il, israeli@cs.technion.ac.il)
Running head: Solution of Poisson equation with multiwavelets
Corresponding author: Elena Braverman
Address: TechnionIsrael Institute of Technology, Computer Science Department,
Haifa 32000, Israel
email: maelena@cs.technion.ac.il
Fax number: 97248294353
Abstract
We present an adaptive algorithm for the solution of the Poisson equation. The
domain is divided into subdomains. The resolution of each subdomain depends on
the smoothness of the right hand side of the Poisson equation. This determines the
adaptivity of the algorithm. In each subdomain a particular solution is found. These
solutions are patched by introducing double/single layers at the interfaces of the sub
