TY - JOUR
T1 - An Energy Absorbing Far-Field Boundary Condition for the Elastic Wave Equation
AU - N. Anders Petersson & Björn Sjögreen
JO - Communications in Computational Physics
VL - 3
SP - 483
EP - 508
PY - 2009
DA - 2009/06
SN - 6
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cicp/7689.html
KW - 
AB - <p style="text-align: justify;">We present an energy absorbing non-reflecting boundary condition of
Clayton-Engquist type for the elastic wave equation together with a discretization
which is stable for any ratio of compressional to shear wave speed. We prove stability
for a second-order accurate finite-difference discretization of the elastic wave equation
in three space dimensions together with a discretization of the proposed non-reflecting
boundary condition. The stability proof is based on a discrete energy estimate and is
valid for heterogeneous materials. The proof includes all six boundaries of the computational
domain where special discretizations are needed at the edges and corners.
The stability proof holds also when a free surface boundary condition is imposed on
some sides of the computational domain.</p>