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Time-domain BEM analysis for the 2D scalar wave equation: Initial conditions contributions to space and time derivatives. (English) Zbl 0880.73071

Summary: The complete expressions corresponding to space and time derivatives of Volterra’s integral representation of the time-dependent scalar wave equation are presented. The concept of finite part of an integral is used in order to compute boundary kernels contributions. Time integration of boundary kernels is performed analytically for linear and constant time approximations for the potential and its normal derivative, respectively. The new integral representations presented are quite general, as contributions due to the initial conditions have also been included. Two examples are presented to assess the accuracy of the formulation.

MSC:

74S15 Boundary element methods applied to problems in solid mechanics
74J10 Bulk waves in solid mechanics
74H45 Vibrations in dynamical problems in solid mechanics
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