Stability Analysis of Model Problems for Elastodynamic Boundary Element Discretizations
作者： A. Peirce , E. Siebrits
DOI: 10.1002/(SICI)1098-2426(199609)12:5<585::AID-NUM4>3.0.CO;2-G
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摘要: In the literature there is growing evidence of instabilities in standard time-stepping schemes to solve boundary integral elastodynamic models [1]–[3]. this article we use three distinct model problems investigate stability properties various discretizations that are commonly used equations. Using problems, a large variety discretization assessed. The features procedures likely cause can be established by means analysis. This new insight makes it possible design shown more stable. © 1996 John Wiley & Sons, Inc.
sci-hub.se 参考文章(12)
Lawrence Sirovich, Introduction to Applied Mathematics ,(1988)
Jose Dominguez, Boundary elements in dynamics ,(1993)
S. Kobayashi, Fundamentals of Boundary Integral Equation Methods in Elastodynamics Springer Berlin Heidelberg. pp. 1- 54 ,(1985) , 10.1007/978-3-642-82398-5_1
K.W. Neale, Boundary element method in elastodynamics Canadian Journal of Civil Engineering. ,vol. 18, pp. 535- 535 ,(1991) , 10.1139/L91-066
Martin G. Koller, Marc Bonnet, Raul Madariaga, Modelling of dynamical crack propagation using time-domain boundary integral equations Wave Motion. ,vol. 16, pp. 339- 366 ,(1992) , 10.1016/0165-2125(92)90022-T
R. L. Taylor, C. T. H. Baker, The Numerical Treatment of Integral Equations ,(1978)
CHRISTOPHER T. H. BAKER, NEVILLE J. FORD, Some applications of the boundary-locus method and the method of D-partitions Ima Journal of Numerical Analysis. ,vol. 11, pp. 143- 158 ,(1991) , 10.1093/IMANUM/11.2.143
A.P. Peirce, S. Spottiswoode, J.A.L. Napier, The spectral boundary element method: a new window on boundary elements in rock mechanics International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts. ,vol. 29, pp. 379- 400 ,(1992) , 10.1016/0148-9062(92)90514-Z
Eliahu Ibrahim Jury, Theory and application of the z-transform method ,(1964)
A. PEIRCE, E. SIEBRITS, STABILITY ANALYSIS AND DESIGN OF TIME-STEPPING SCHEMES FOR GENERAL ELASTODYNAMIC BOUNDARY ELEMENT MODELS International Journal for Numerical Methods in Engineering. ,vol. 40, pp. 319- 342 ,(1997) , 10.1002/(SICI)1097-0207(19970130)40:2<319::AID-NME67>3.0.CO;2-I