TY - JOUR
T1 - On Vector Helmholtz Equation with a Coupling Boundary Condition
AU - G. Li, J. S. Zhang, J. Zhu & D. P. Yang
JO - Numerical Mathematics, a Journal of Chinese Universities
VL - 4
SP - 358
EP - 369
PY - 2007
DA - 2007/11
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/nm/10065.html
KW - 
AB - 
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.