Elastodynamic direct boundary element methods with enhanced numerical stability properties Academic Article

abstract

• Evidence of numerical instabilities in two-dimensional time domain direct boundary element methods is presented. The effects of numerical versus analytical integration of spatial integrals on stability are shown, and two new time-stepping algorithms are introduced and compared to existing formulations. The so-called new 'direct half-step' scheme and the 'epsilon' scheme are shown to improve the numerical stability of direct boundary element methods. Copyright 1999 John Wiley & Sons, Ltd.

published proceedings

• INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

author list (cited authors)

• Birgisson, B., Siebrits, E., & Peirce, A. P.

citation count

• 36

complete list of authors

• Birgisson, B||Siebrits, E||Peirce, AP

publication date

• October 1999

publisher

• Wiley  Publisher

published in

• International Journal for Numerical Methods in Engineering  Journal

keywords

• Boundary Element Method
• Elastodynamics
• Numerical Instability
• Time Domain

Digital Object Identifier (DOI)

• 10.1002/(SICI)1097-0207(19991030)46:6<871::AID-NME698>3.0.CO;2-6

start page

• 871

end page

• 888

volume

• 46

issue

• 6

URL

• http://dx.doi.org/10.1002/(sici)1097-0207(19991030)46:6%3C871::aid-nme698%3E3.0.co;2-6