caa a22 4500 469104554 CHVBK 20180323133053.0 cr unu---uuuuu 170328e19920301xx s 000 0 eng 10.1007/BF01613891 doi (NATIONALLICENCE)springer-10.1007/BF01613891 Robust finite-difference scheme for elastic waves on coarse grids [Elektronische Daten] [Jiří Zahradník, František Hron] Summary: An explicit scheme for 2-D problems of P-SV waves is proposed, 4th order accurate in space and 2nd order accurate in time. The elastodynamic equations are discretized without destroying their self-adjoint nature. Twenty—four effective parameters are introduced at every grid point that make the scheme sensitive enough to spatial variations of the actual Lamé parameters. The scheme is of the same form everywhere, including discontinuities. In particular, also the free surface is described without special formulas; the so-called vacuum formalism is developed. These features make the method simple and widely applicable. However, boundary conditions are only approximately satisfied. Nevertheless, comparisons with independent methods indicate satisfactory results. They include, for example, local Rayleigh waves and bidimensional resonances in basin-like models with strongly curved interfaces of a high velocity contrast (1 : 5), whose principal features were modelled by the present method well. Academia, Publishing House of the Czechoslovak Academy of Sciences, 1992 Zahradník Jiří Department of Geophysics, Faculty of Mathematics and Physics, Charles University, Prague aut Hron František Institute of Earth and Planetary Physics, Department of Physics, University of Alberta, Canada aut Studia Geophysica et Geodaetica Kluwer Academic Publishers 36/1(1992-03-01), 1-19 0039-3169 36:1<1 1992 36 11200 https://doi.org/10.1007/BF01613891 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01613891 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Zahradník Jiří Department of Geophysics, Faculty of Mathematics and Physics, Charles University, Prague aut NATIONALLICENCE 700 1- Hron František Institute of Earth and Planetary Physics, Department of Physics, University of Alberta, Canada aut NATIONALLICENCE 773 0- Studia Geophysica et Geodaetica Kluwer Academic Publishers 36/1(1992-03-01), 1-19 0039-3169 36:1<1 1992 36 11200 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer