TY - JOUR
T1 - Boundary Element Approximation of Steklov Eigenvalue Problem for Helmholtz Equation
AU - Tang , Weijun
AU - Han , Houde
JO - Journal of Computational Mathematics
VL - 2
SP - 165
EP - 178
PY - 1998
DA - 1998/04
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9150.html
KW - Steklov eigenvalue problem, differential operator, error estimate, boundary element approximation.
AB - <p style="text-align: justify;">Steklov eigenvalue problem of Helmholtz equation is considered in the present paper. Steklov eigenvalue problem is reduced to a new variational formula on the boundary of a given domain, in which the self-adjoint property of the original differential operator is kept and the calculating of hyper-singular integral is avoided. A numerical example showing the efficiency of this method and an optimal error estimate are given.</p>