NEW NUMERICAL INTEGRATION SCHEMES FOR APPLICATIONS OF GALERKIN BEM TO 2-D PROBLEMS

✍ Scribed by A. AIMI; M. DILIGENTI; G. MONEGATO

• Publisher: John Wiley and Sons
• Year: 1997
• Tongue: English
• Weight: 237 KB
• Volume: 40
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/(sici)1097-0207(19970615)40:11<1977::aid-nme150>3.0.co;2-o

✦ Synopsis

We consider hypersingular integral formulation of some elasticity and potential boundary value problems on 2-D domains. In particular, we consider all integrals whose evaluation is required when the equations are solved by a Galerkin BEM based on piecewise polynomial approximants of arbitrary local degrees. In order to compute these integrals, we use very e cient formulas recently proposed, which require the user to deÿne a mesh, not necessarily uniform, on the boundary and specify the local degrees of the approximant. These rules are quite suitable for the construction of h-p version of the BEM. Implementation of h-, p-and h-p methods are applied to some classical problems and several numerical results are presented.