Finite-Element Grid Improvement by Minimization of Stiffness Matrix Trace.
NATIONAL AERONAUTICS AND SPACE ADMINISTRATION CLEVELAND OH LEWIS RESEARCH CEN TER
Pagination or Media Count:
A new and simple method of finite element grid improvement is presented. The objective is to improve the accuracy of the analysis. The procedure is based on a minimization of the trace of the stiffness matrix. For a broad class of problems this minimization is seen to be equivalent to minimizing the potential energy. The method is illustrated with the classical tapered bar problem examined earlier by Prager and by Masur. Identical results are obtained. Keywords Finite element analysis Mesh Grid optimization and Transmissions.
- Numerical Mathematics