File(s) not publicly available
Second order overhauser elements for boundary element analysis
journal contribution
posted on 2023-05-16, 07:37 authored by Johnston, PRThe original ideas of Overhauser are extended to create a new type of element for boundary element analysis. Three Lagrange interpolation polynomials are blended together in a quadratic fashion, resulting in a set of seven basis functions which are C1 continuous from element to element. Solutions to Laplace's equation in a simple geometry are used to demonstrate the accuracy of the solutions obtained with the new elements, for both smooth and rapidly varying solutions. These new elements also provide more accurate values for the tangential derivative of the solution at all points on the boundary.
History
Publication title
Mathematical and Computer ModellingVolume
23Issue
5Pagination
61-74ISSN
0895-7177Department/School
Tasmanian School of MedicinePublisher
PergamonPlace of publication
United KingdomRepository Status
- Restricted