Abstract
The reproducing kernel element method is a hybrid between finite elements and meshfree methods that provides shape functions of arbitrary order and continuity yet retains the Kronecker-δ property. To achieve these properties, the underlying mesh must meet certain regularity constraints. This paper develops a precise definition of these constraints, and a general algorithm for assessing a mesh is developed. The algorithm is demonstrated on several mesh types. Finally, a guide to generation of quasi-uniform meshes is discussed.
Original language | English |
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Pages (from-to) | 333-342 |
Number of pages | 10 |
Journal | Computational Mechanics |
Volume | 44 |
Issue number | 3 |
DOIs | |
State | Published - Aug 2009 |
Externally published | Yes |
Keywords
- Quality mesh generation
- Quasi-uniform mesh
- Reproducing kernel elements