New higher-order boundary element methods for wave diffraction/radiation
β Scribed by B. Teng; R.Eatock Taylor
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 710 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0141-1187
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## Abstract Despite the significant number of publications on boundary element methods (BEM) for timeβdependent problems of heat diffusion, there still remain issues that need to be addressed, most importantly accuracy of the numerical modelling. Although very precise for steadyβstate problems, the
We formulate a higher-order (superconvergent) Petrov-Galerkin method by determining, using a finitedifference approximation, the optimal selection of quadratic and cubic modifications to the standard linear test function for bilinear elements. Application of this method to linear elliptic problems r