HARMONIC FUNDAMENTAL SOLUTIONS AND BOUNDARY INTEGRAL EQUATIONS FOR WAVE PROPAGATION IN ELASTIC, SCALAR AND POROELASTIC MEDIA
This study explores integral formulations and harmonic fundamental solutions for various media,
including elastodynamic, scalar, and poroelastic media. The integral formulations are expressed
in terms of boundary variables linking the variables in the internal domain with the boundary
conditions. The work highlights the significance of fundamental solutions in solving boundary
integral equations, enabling numerical solutions using the Boundary Element Method (BEM).
Detailed derivations and applications for each medium are presented, emphasizing methods to
address singularities and reduce computational complexity. The results offer foundational insights
for engineers and researchers applying BEM to complex media.
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