An efficient time-truncated boundary element formulation applied to the solution of the two-dimensional scalar wave equation

2009 ◽  
Vol 33 (1) ◽  
pp. 43-53 ◽  
Author(s):  
D. Soares ◽  
W.J. Mansur
Keyword(s):  
Wave Equation ◽  
Boundary Element ◽  
Element Formulation ◽  
Two Dimensional ◽  
Scalar Wave ◽  
Scalar Wave Equation

Consistent Infinitesimal Finite Element Cell Method: Three-Dimensional Scalar Wave Equation

1996 ◽  
Vol 63 (3) ◽  
pp. 650-654 ◽  
Author(s):  
J. P. Wolf ◽  
Chongmin Song
Keyword(s):  
Finite Element ◽  
Wave Equation ◽  
Three Dimensional ◽  
Time Domain Analysis ◽  
Spatial Dimension ◽  
Element Formulation ◽  
Scalar Wave ◽  
Scalar Wave Equation ◽  
Cell Method ◽  
Unbounded Medium

To calculate the unit-impulse response matrix of an unbounded medium governed by the scalar wave equation for use in a time-domain analysis of unbounded medium-structure interaction, the consistent infinitesimal finite element cell method is developed for the three-dimensional case. Its derivation is based on the finite element formulation and on similarity. The discretization is only performed on the structure-medium interface, yielding a reduction of the spatial dimension by 1. The procedure is exact in the radial direction and converges to the exact solution in the finite element sense in the circumferential directions.

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