✦ LIBER ✦

Numerical and spectral investigations of Trefftz infinite elements

✍ Scribed by Isaac Harari; Parama Barai; Paul E. Barbone

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 266 KB
Volume: 46
Category: Article
ISSN: 0029-5981
DOI: 10.1002/(sici)1097-0207(19991010)46:4<553::aid-nme688>3.0.co;2-o

No coin nor oath required. For personal study only.

✦ Synopsis

The numerical and spectral performance of novel inÿnite elements for exterior problems of time-harmonic acoustics are examined. The formulation is based on a functional which provides a general framework for domain-based computation of exterior problems. Two prominent features simplify the task of discretization: the inÿnite elements mesh the interface only and need not match the ÿnite elements on the interface. Various inÿnite element approximations for two-dimensional conÿgurations with circular interfaces are reviewed. Numerical results demonstrate the good performance of these schemes. A simple study points to the proper interpretation of spectral results for the formulation. The spectral properties of these inÿnite elements are examined with a view to the representation of physics and e cient numerical solution.

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