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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

Full Bibliographic Reference for this paper
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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