TY - JOUR A1 - Wagner, Marcus A1 - Pinsky, Peter M. A1 - Malhotra, Manish T1 - A multiple-frequency partial-field method for exterior acoustics based on Padé via lanczos approximants JF - Proceedings of the ASME Noise Control and Acoustics Division - 2001 : presented at the 2001 ASME International Mechanical Engineering Congress and Exposition, November 11 - 16, 2001, New York, New York N2 - A solution methodology is introduced for the efficient computation of the acoustic field over restricted domains and for a frequency window. Typically, such partial field solutions include, for example, surfaces enclosing the radiating structure or even single points in the computational domain. The multiple-frequency partial-field (MFPF) method starts out by reformulating the finite element matrix system into a suitable shifted form. The DtN map is used as a radiation boundary condition and is interpreted as a low rank update of the matrix problem. The shifted standard form is then approximated by a rational matrix-valued Padé approximant and solved simultaneously over a frequency range. To obtain the Padé approximation, a banded unsymmetric Lanczos process is applied on the standard shifted form exploiting the matrix Padé-via-Lanczos connection. Numerical examples show the feasibility of the outlined procedure. Y1 - 2001 SN - 0-7918-3551-0 U6 - https://doi.org/10.1115/IMECE2001/NCA-23524 IS - 28 SP - 229 EP - 234 PB - ASME CY - New York, NY ER -