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Symmetric Galerkin boundary integral formulation for interface and multi-zone problems

✍ Scribed by L. J. Gray; Glaucio H. Paulino

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 179 KB
Volume: 40
Category: Article
ISSN: 0029-5981
DOI: 10.1002/(sici)1097-0207(19970830)40:16<3085::aid-nme194>3.0.co;2-u

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✦ Synopsis

Domains containing an 'internal boundary', such as a bi-material interface, arise in many applications, e.g. composite materials and geophysical simulations. This paper presents a symmetric Galerkin boundary integral method for this important class of problems. In this situation, the physical quantities are known to satisfy continuity conditions across the interface, but no boundary conditions are speciÿed. The algorithm described herein achieves a symmetric matrix of reduced size. Moreover, the symmetry can also be invoked to lessen the numerical work involved in constructing the system of equations, and thus the method is computationally very e cient. A prototype numerical example, with several variations in the boundary conditions and material properties, is employed to validate the formulation and corresponding numerical procedure. The boundary element results are compared with analytical solutions and with numerical results obtained with the ÿnite element method. ?

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