TY - JOUR
T1 - The Ellipsoid Artificial Boundary Method for Three-Dimensional Unbounded Domains
AU - Hongying Huang & Dehao Yu
JO - Journal of Computational Mathematics
VL - 2-3
SP - 196
EP - 214
PY - 2009
DA - 2009/04
SN - 27
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8568.html
KW - Artificial boundary method, Exterior harmonic problem, Finite element method,
Natural boundary reduction, Oblate ellipsoid, Prolate ellipsoid.
AB - <p style="text-align: justify;">The artificial boundary method is applied to solve three-dimensional exterior problems.
Two kind of rotating ellipsoids are chosen as the artificial boundaries and the exact artificial
boundary conditions are derived explicitly in terms of an infinite series. Then the
well-posedness of the coupled variational problem is obtained. It is found that error estimates
derived depend on the mesh size, truncation term and the location of the artificial
boundary. Three numerical examples are presented to demonstrate the effectiveness and
accuracy of the proposed method.</p>