A study of adaptively remeshed finite element problems using higher order tetrahedra

Abstract A study has been performed for various three-dimensional elasticity problems to evaluate the performance of a three-dimensional FEM preprocessor, processor and companion remeshing modules. Both straight-sided and curve-sided tetrahedral finite elements were employed. All the problems analyzed started with initial meshes varying from 5 to 20 linear strain or quadratic strain tetrahedral elements. Remeshing was based on Zienkiewicz-Zhu error indicators obtained from the processor. The modules were used iteratively for each problem until the estimated error converged to a user specified value. Comparisons based on accuracy, convergence and computational efficiency were performed for all problems and element combinations.