Simulating propagation of decoupled elastic waves using low-rank approximate mixed-domain integral operators for anisotropic media |
Following Carcione (2007), we denote the spatial variables , and of a right-hand Cartesian system by the indices ... , and , respectively, the position vector by , a partial derivative with respect to a variable with , and the first and second time derivatives with and . Matrix transposition is denoted by the superscript . We also denote by , the scalar and matrix products by the symbol , the dyadic product by the symbol . The Einstein convention of repeated indices is assumed unless otherwise specified.