Ahusborde, Etienne
Azaiez, Mejdi
Deville, Michel O.
Mund, Ernest H.
An iterative domain decomposition algorithm for the grad(div) operator
Communications in Computer Physics
5
391-397
This paper describes an iterative solution technique for partial differential equations involving the grad(div) operator, based on a domain decomposition. Iterations are performed to solve the solution on the interface. We identify the transmission relationships through the interface. We relate the approach to a Steklov-Poincare operator, and we illustrate the performance of technique through some numerical experiments.
Domain decomposition;
grad(div) operator;
stable approximation;
iterative substructuring method;
Steklov-Poincare operator;
2009