An adaptive method for the determination of element degree for acquiring the desired accuracy in 2-D BEM
A self-adaptive method for the determination of element degree was developed for boundary element analysis of two-dimensional elastic problems. This method was based on acquiring the desired accuracy for each boundary element. From the numerical experiments, the relationship ? = k(1/p)? was deduced, where ? is the ratio of the integral of the squared error to the integral of the squared exact value, p is the element degree and ? is a constant. Applying this relationship to the two results for different element degrees, the element degree for the third analysis was deduced. A computer program using this self-adaptive element degree determination method was developed and applied to several two-dimensional elastic problems of various shapes. The usefulness of the method was illustrated by these application results.  1997 Elsevier Science Limited
adaptive method computational mechanics numerical analysis boundary element method error analysis