Exact boundary conditions at an artificial boundary for partial differential equations in cylinders
SIAM Journal on Mathematical Analysis
A finite element method for large domains
Computer Methods in Applied Mechanics and Engineering
Non-reflecting boundary conditions
Journal of Computational Physics
On nonreflecting boundary conditions
Journal of Computational Physics
Error estimates of the DtN finite element method for the exterior Helmholtz problem
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Exact non-reflecting boundary conditions
Journal of Computational Physics
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In this paper, we investigate a Schwarz alternating algorithm for a three-dimensional exterior harmonic problem with prolate spheroid boundary. Based on natural boundary reduction, the algorithm is constructed and its convergence is discussed. The finite element method and the natural boundary element method are alternatively applied to solve the problem in a bounded subdomain and a typical unbounded subdomain. The convergence rate is analyzed in detail for a typical domain. Two numerical examples are presented to demonstrate the effectiveness and accuracy of the proposed method.