On the convergence of difference approximations to weak solutions of Dirichlet's problem

Author:

Bramble J. H.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference8 articles.

1. Bramble, J. H., andB. E. Hubbard: Approximation of derivatives by finite difference methods in elliptic boundary value problems. Contributions to Diff. Eq.3, 399–410 (1964).

2. — —, andV. Thomée: Convergence estimates for essentially positive type discrete Dirichlet problems. Math. of Comp. (to appear).

3. ——, andM. Zlámal: Discrete analogs of the Dirichlet problem with isolated singularities. SIAM J. Numer. Anal.5, No. 1, 1–25 (1968).

4. Céa, J.: Approximation variationelle des problèmes aux limites. Ann. Inst. Fourier14, 2, 345–444 (1964).

5. Comincioli, V.: Analisi numerica di alcuni problemi ai limiti per l'operatore di Laplace iterato. Rend. Sem. Mat. Padova (1965)

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