Issue: 4 , Volume: 4 , Уear of publication: 2011

This paper presents a detailed study of the construction of reflectionless boundary conditions for anisotropic elastic problems. A Multiaxial PerfectlyMatched Layer (M-PML) approach is considered. With a proper stabilization parameter, the M-PML ensures solution stability for arbitrary anisotropic media. It is proved that thisM-PMLmodification is not perfectly matched, and the reflectivity of theM-PML exceeds that of the standard PML. Moreover, the reflection coefficient linearly depends on the stabilization parameter. A problem of constructing an optimal stabilization parameter is formulated as follows: find a minimum possible parameter that ensures stability. This problem is considered in the second part of this work.