A wavelet-Galerkin algorithm for the driven-cavity-Stokes-problem in two space dimensions

Abstract

In this paper we derive a algorithm for solving the Stokes-equations for the example of the Driven-Cavity-Problem. We treat the Stokes-equations in the divergence-free weak formulation and show the construction of divergence-free refinable functions, which will be used as trial functions in the Galerkin-method. The system will be solved by means of the preconditioned cg-method. We make use of multilevel preconditioning strategies to obtain uniformly bounded condition numbers. (orig.)SIGLEAvailable from TIB Hannover: RN 8680(106) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman