| ชื่อเรื่อง | : | Fast and accurate computation of time-domain acoustic scattering problems with exact nonreflecting boundary conditions |
| นักวิจัย | : | Wang, Li-Lian , Wang, Bo , Zhao, Xiaodan |
| คำค้น | : | - |
| หน่วยงาน | : | Nanyang Technological University, Singapore |
| ผู้ร่วมงาน | : | - |
| ปีพิมพ์ | : | 2555 |
| อ้างอิง | : | Wang, L. L., Wang, B.,& Zhao, X. (2012). Fast and Accurate Computation of Time-Domain Acoustic Scattering Problems with Exact Nonreflecting Boundary Conditions. SIAM Journal on Applied Mathematics, 72(6), 1869-1898. , http://hdl.handle.net/10220/18692 , http://dx.doi.org/10.1137/110849146 |
| ที่มา | : | - |
| ความเชี่ยวชาญ | : | - |
| ความสัมพันธ์ | : | SIAM journal on applied mathematics |
| ขอบเขตของเนื้อหา | : | - |
| บทคัดย่อ/คำอธิบาย | : | This paper is concerned with fast and accurate computation of exterior wave equations truncated via exact circular or spherical nonreflecting boundary conditions (NRBCs, known to be nonlocal in both time and space). We first derive analytic expressions for the underlying convolution kernels, which allow for a rapid and accurate evaluation of the convolution with $O(N_t)$ operations over $N_t$ successive time steps. To handle the nonlocality in space, we introduce the notion of boundary perturbation, which enables us to handle general bounded scatters by solving a sequence of wave equations in a regular domain. We propose an efficient spectral-Galerkin solver with Newmark's time integration for the truncated wave equation in the regular domain. We also provide ample numerical results to show high-order accuracy of NRBCs and efficiency of the proposed scheme. |
| บรรณานุกรม | : |
Wang, Li-Lian , Wang, Bo , Zhao, Xiaodan . (2555). Fast and accurate computation of time-domain acoustic scattering problems with exact nonreflecting boundary conditions.
กรุงเทพมหานคร : Nanyang Technological University, Singapore. Wang, Li-Lian , Wang, Bo , Zhao, Xiaodan . 2555. "Fast and accurate computation of time-domain acoustic scattering problems with exact nonreflecting boundary conditions".
กรุงเทพมหานคร : Nanyang Technological University, Singapore. Wang, Li-Lian , Wang, Bo , Zhao, Xiaodan . "Fast and accurate computation of time-domain acoustic scattering problems with exact nonreflecting boundary conditions."
กรุงเทพมหานคร : Nanyang Technological University, Singapore, 2555. Print. Wang, Li-Lian , Wang, Bo , Zhao, Xiaodan . Fast and accurate computation of time-domain acoustic scattering problems with exact nonreflecting boundary conditions. กรุงเทพมหานคร : Nanyang Technological University, Singapore; 2555.
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