On the virtual acoustical source in mapped infinite element
- Release Time:2025-04-30
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Date:
2025-04-30Title of Paper:
On the virtual acoustical source in mapped infinite elementJournal:
Journal of Sound and VibrationSummary:
The infinite element approach is effective in solving unbounded wave problems. It models the
unbounded region in its entirety by using elements of infinite extent, and the non-radiation
condition is therefore readily accommodated. In the past 20 years, a number of infinite element
schemes have appeared, which can roughly fall into mapped element and unmapped element. In
unmapped infinite element [1,2], the shape functions are directly constructed within physical
element. Although the convergence and accuracy of this kind of elements are assured by
interpolation functions, they often involve complex integration procedures in forming the system
matrices because of the infiniteness of real elements. In mapped infinite element [3–10], a geometry
mapping is first introduced, and the field variable is then interpolated within the parent element.
In particular, the mapped wave envelope infinite element enables all the system matrices to be
evaluated by using the standard Gauss quadrature. Another advantage of this envelope element is
that the system matrices can be separated in terms of the power of frequency and therefore can be
easily used to solve transient problems, although the symmetricnature is not preserved in them,
which is the only drawback of this element.Co-author:
L.-X. Li, et alVolume:
261(2003)Page Number:
945-951Translation or Not:
NoDate of Publication:
2003-10-15
