Open AccessAn Improved Representation of Boundary Conditions in Finite Difference Schemes for Seismological Problems
Author(s) -
Ilan Almoga,
Ungar Abraham,
Alterman Zipora
Publication year - 1975
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1975.tb06191.x
Subject(s) - boundary (topology) , truncation (statistics) , representation (politics) , boundary value problem , mathematics , finite difference method , finite difference , scheme (mathematics) , mathematical analysis , order (exchange) , truncation error , finite difference scheme , statistics , finance , politics , political science , law , economics
Summary A finite difference scheme is developed for seismological problems, containing a new treatment of surface and interface boundary conditions. The new representations of boundary conditions are associated with truncation errors of the second order, while previous representations were of the first order only. We show by comparison with analytical solutions that increasing the accuracy of the representation of boundary conditions increases the order of accuracy of the whole solution. The present scheme can be programmed easily and applied to seismological problems. We illustrate this by solving the problem of pulse propagation in two models of rift valley, and in the vicinity of an elastic wedge embedded in another elastic space.