A NEW IHIERARCHICAL BOUNDARY ELEMENT METHOD AND ITS ADAPTIVE PROCESSES FOR PLATE BENDING PROBLEM

In this paper a new hierarchical boundary element method is introducedfor solving the problem of plate bending.Exact solutions of the governing equationsare used inside the domain together with independent deflections and rotations on theboundary.A generalized variational principle is employed to achieve the boundaryelement formulation.Further,the adaptive processes of the method are also discussed.By virtue of the error estimate technique proposed by Zienkiewicz et al.areasonable error indicator and adaptive scheme are suggested.Numerical examplesillustrate the high accuracy of the new elements and show the excellent efficiency ofthe adaptive computation described in this paper.

A NEW IHIERARCHICAL BOUNDARY ELEMENT METHOD AND ITS ADAPTIVE PROCESSES FOR PLATE BENDING PROBLEM

In this paper a new hierarchical boundary element method is introduced for solving the problem of plate bending.Exact solutions of the governing equations are used inside the domain together with independent deflections and rotations on the boundary.A generalized variational principle is employed to achieve the boundary element formulation.Further,the adaptive processes of the method are also discussed. By virtue of the error estimate technique proposed by Zienkiewicz et al.a reasonable error indicator and adaptive scheme are suggested.Numerical examples illustrate the high accuracy of the new elements and show the excellent efficiency of the adaptive computation described in this paper.