A new conjugated mapped infinite element

作者：Li LX^*; Kunimatsu S

来源：Journal of Computational Acoustics, 2004, 12(4): 543-570.

DOI：10.1142/S0218396X04002444

• mapped infinite element
• Astley element
• Burnett element
• geometry mapping
• shape function

Taking the Astley element for example, the conventional mapped infinite element is theoretically dissected in this paper. The study brings to light the reason why the results from the mapped infinite elements vary with the location of the mid-side points used in the geometry mapping. To remedy this deficiency, a new conjugated mapped infinite element is proposed whose shape functions exactly satisfy the multi-pole expansion in the infinite direction. Within the framework of this infinite element, shape functions for any type of wave are composed of the one in the conventional finite element for the same order multiplied by a factor that contains the information of the geometry mapping and the decay behavior of wave. In addition to the slight modification to the phase factor and the weighting factor, the present element permits a free geometry mapping, and therefore greatly expands the applicability of the mapped infinite element methods. To display the performance of the proposed element, typical examples are finally given.

• 出版日期2004-12
• 单位西安交通大学