01.07.2014 | Ausgabe 1/2014

A Partition of Unity Method with Penalty for Fourth Order Problems
- Zeitschrift:
- Journal of Scientific Computing > Ausgabe 1/2014
Wichtige Hinweise
This work was supported in part by the National Science Foundation through the VIGRE Grant 07-39382.
Abstract
A partition of unity method for fourth order problems is proposed. As a model problem, we focus on the biharmonic problem with either clamped or simply supported boundary conditions when the domain is a bounded polygon. The algorithm is presented, error estimates are made, and numerical results are shown to verify the error estimates.