Hermitian cubic boundary elements for two‐dimensional potential problems
- 5 October 1990
- journal article
- research article
- Published by Wiley in International Journal for Numerical Methods in Engineering
- Vol. 30 (5) , 1051-1062
- https://doi.org/10.1002/nme.1620300507
Abstract
A hermite interpolation based formulation is presented for the boundary element analysis of two‐dimensional potential problems. Two three‐noded Hermitian Cubic Elements (HCE) are introduced for the modelling of corners or points with non‐unique tangents on the boundary. These elements, along with the usual two‐noded HCE, are used in numerical examples. The results obtained show that faster convergence can be achieved using HCE compared with using Lagrange interpolation type Quadratic Elements (QE), for about the same amount of computing resources.Keywords
This publication has 6 references indexed in Scilit:
- Boundary integration and interpolation procedures for plate bendingInternational Journal for Numerical Methods in Engineering, 1989
- A local boundary integral equation method for potential problemsInternational Journal for Numerical Methods in Engineering, 1988
- Some Improvements in 2D Boundary Elements Using Integration by PartsPublished by Springer Nature ,1982
- Boundary elements in potential and elasticity theoryComputers & Structures, 1979
- On the numerical solution of two-dimensional potential problems by an improved boundary integral equation methodJournal of Computational Physics, 1979
- Finite element analysis of two‐dimensional slow non‐newtonian flowsAIChE Journal, 1972