A Multi-domain Spectral Ipdg Method for Helmholtz Equation with High Wave Number
نویسندگان
چکیده
Lunji Song School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China Email: [email protected] Jing Zhang School of Mathematics and Statistics, Huazhong Normal University, Wuhan 430079, China Email: [email protected] Li-Lian Wang Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, 637371, Singapore Email: [email protected]
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Analysis of a Spectral-Galerkin Approximation to the Helmholtz Equation in Exterior Domains
An error analysis is presented for the spectral-Galerkin method to the Helmholtz equation in 2and 3-dimensional exterior domains. The problem in unbounded domains is first reduced to a problem on a bounded domain via the Dirichlet-to-Neumann operator, and then a spectral-Galerkin method is employed to approximate the reduced problem. The error analysis is based on exploring delicate asymptotic ...
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