Overlapping Elements and Layered Meshes for h-p Adaptive Finite Element Analysis

摘要

The irregular finite element formulations, in combination with the concept of irregolar-cut continnity constraints, are extended to develop structurally overlapping finite elements, which may be used to construct quilted and layered mesh geometries. These constructs reveal a revised interpretation of generalized h-p refinements, and new insight on adaptive meshing. The extended formulations, with implementation practicalities and test results, are reported for triangles and tetrahedra.