Some efficient boundary integral strategies for time-harmonic wave problems in an elastic halfspace Original Research Article

When Boundary Integral Equation/ Boundary Element Methods (BIE/BEMs) are used for halfspace problems, such as occur frequently in elastodynamics, the fullspace (Stokes) fundamental solution or halfspace (Lamb) fundamental solution can be used to formulate the BIE. Both Stokes and Lamb approaches have advantages and disadvantages. This paper presents systematic strategies, based on the BEM for 3D halfspace elastodynamic problems, wherein the best features of formulations based on the Stokes and the Lamb solutions are exploited. Strategies are illustrated and numerical results are given for point sources and radiation from a spherical void in a halfspace.