A numerical investigation on the interplay amongst geometry, meshes, and linear algebra in the finite element solution of elliptic PDEs

Author:

Kim Jibum,Sastry Shankar Prasad,Shontz Suzanne M.

Publisher

Springer Science and Business Media LLC

Subject

Computer Science Applications,General Engineering,Modeling and Simulation,Software

Reference37 articles.

1. Babuska I, Suri M (1994) The p and h-p versions of the finite element method, basic principles, and properties. SIAM Rev 35:579–632

2. Berzins M (1997) Solution-based mesh quality for triangular and tetrahedral meshes. In: Proceedings of the 6th International Meshing Roundtable, Sandia National Laboratories, New Mexico, pp 427–436

3. Berzins M (1998) Mesh quality—geometry, error estimates, or both? In: Proceedings of the 7th International Meshing Roundtable, Sandia National Laboratories, New Mexico, pp 229–237

4. Fried E (1972) Condition of finite element matrices generated from nonuniform meshes. AIAA J 10:219–221

5. Shewchuk J (2002) What is a good linear element? Interpolation, conditioning, and quality measures. In: Proceedings of the 11th International Meshing Roundtable, Sandia National Laboratories, New Mexico, pp 115–126

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