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Finite element solution of vector Poisson equation with a coupling boundary condition

✍ Scribed by Jiang Zhu; Abimael F. D. Loula; Luigi Quartapelle

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
674 KB
Volume
16
Category
Article
ISSN
0749-159X

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✦ Synopsis

The vector Poisson equation is sometimes supplemented by conditions that include the specification of the boundary value of the divergence of the unknown. A rigorous analysis of such a vector Poisson problem and uncoupled solution methods have been presented for domains of C 1,1 and Lipschitz regularity in [1] and [2], respectively. In this work, the finite element approximation of the two uncoupled solution methods is studied, and a convergence analysis of the numerical schemes is provided together with some numerical results.

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