an:02055242
Zbl 1049.65126
Cao, Liqun; Cui, Junzhi
Asymptotic expansions and numerical algorithms of eigenvalues and eigenfunctions of the Dirichlet problem for second order elliptic equations in perforated domains
EN
Numer. Math. 96, No. 3, 525-581 (2004).
0029-599X 0945-3245
2004
j
65N25 35P15 35B27 65N30
Helmholtz equation; eigenvalue problem; periodic coefficients; homogenization; finite element method; numerical results
Authors' summary: We study the spectral properties of Dirichlet problems for second order elliptic equation with rapidly oscillating coefficients in a perforated domain. The asymptotic expansions of eigenvalues and eigenfunctions for this kind of problem are obtained, and multiscale finite element algorithms and numerical results are proposed.
Pavel Burda (Praha)