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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 65
FINITE ELEMENTS: TECHNIQUES AND DEVELOPMENTS Edited by: B.H.V. Topping
Paper XIII.2
An Iterative Method for Solving Elastodynamics of a Halfspace M. Premrov and I. Spacapan
Faculty of Civil Engineering, University of Maribor, Maribor, Slovenia M. Premrov, I. Spacapan, "An Iterative Method for Solving Elastodynamics of a Halfspace", in B.H.V. Topping, (Editor), "Finite Elements: Techniques and Developments", Civil-Comp Press, Edinburgh, UK, pp 341-346, 2000. doi:10.4203/ccp.65.13.2
Abstract
A new method for solving time-harmonic elastodynamics in
infinite domains is presented in this paper. The goal is to
satisfy a radiation condition, which asserts that at infinity all
waves are outgoing. Satisfying the radiation condition is thus
one of the basic properties of each good computational model
of infinite domains. In the presented method an iterative
solution of this problem is obtained. An infinite domain is
first truncated by introducing an artificial finite boundary (beta),
on which some boundary conditions must be imposed. The
finite computational domain is in each iteration subjected to
actual boundary conditions and to different (Dirichlet or
Neumann) fictive boundary conditions on beta.
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