Novel mesh quality improvement systems for enhanced accuracy and efficiency of adaptive finite element electromagnetics with tetrahedra
Mark Dorica · 2004
Finite element accuracy and efficiency can be directly affected by mesh quality. When employing h-adaptive solution strategies, a mesh improvement stage is required in order to ensure high quality tetrahedra. However, mesh improvement techniques and quality indicators are often based on purely geometrical considerations. Recent work has focused on theoretically linking mesh quality criteria to interpolation and discretization errors. The potential benefits and related costs of a family of new mesh quality improvement systems are investigated using a set of electromagnetic benchmarks and mesh quality measures directly associated with finite element accuracy and efficiency. The new techniques are shown to outperform the existing mesh smoothing techniques in both mesh quality improvement and computational cost. The significant gains in finite element accuracy and efficiency are highlighted through theoretical and experimental results.