A Weak Galerkin Finite Element Scheme for the Biharmonic Equations by Using Polynomials of Reduced Order

Author:

Zhang Ran,Zhai Qilong

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference41 articles.

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2. Argyris, J.H., Fried, I., Scharpf, D.W.: The TUBA family of plate elements for the matrix displacement method. Aeronaut. J. R. Aeronaut. Soc. 72, 514C517 (1968)

3. Argyris, J.H., Dunne, P.C.: The finite element method applied to fluid dynamics. In: Hewitt, B.L., Illingworth, C.R., Lock, R.C., Mangler, K.W., McDonnel, J.H., Richards, C., Walkden, F. (eds.) Computational Methods and Problems in Aeronautical Fluid Dynamics, pp. 158–197. Academic Press, London (1976)

4. Arnold, D.N., Brezzi, F.: Mixed and nonconforming finite element methods: implementation, postprocessing and error estimates. RAIRO Modl. Math. Anal. Numr. 19(1), 7–32 (1985)

5. Behrens, E.M., Guzmán, J.: A mixed method for the biharmonic problem based on a system of first-order equations. SIAM J. Numer. Anal. 49, 789–817 (2011)

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