Volume 16, Issue 4
On Vector Helmholtz Equation with a Coupling Boundary Condition

Numer. Math. J. Chinese Univ. (English Ser.)(English Ser.) 16 (2007), pp. 358-369

• Abstract

The Helmholtz equation is sometimes supplemented by conditions that include the specification of the boundary value of the divergence of the unknown. In this paper, we study the vector Helmholtz problem in domains of both $C^{1,1}$ and Lipschitz. We establish a rigorous variational analysis such as equivalence, existence and uniqueness. And we propose finite element approximations based on the uncoupled solutions. Finally we present a convergence analysis and error estimates.

• History

Published online: 2007-11

• Keywords