Abstract

A valuable approach for the automatic generation of effective finite element meshes is presented. The approach comprises, firstly, an initial mesh construction and, secondly, an h-version of adaptive refinement based on an error analysis. For the initial mesh construction, a robust triangulation scheme for 2 D analysis and tetrahedronization scheme for 3 D analysis are used, in which the elements are generated from the outside boundaries. For the adaptive refinement process, an error indicator is used with a relaxation factor to obtain efficient solutions. The initial mesh construction schemes have been implemented for 2 D and 3 D analyses whereas the self-adaptive mesh improvement procedure has only been implemented for 2 D analysis. Example solutions are given to demonstrate the solution procedures.

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