Error estimates for a finite element approximation of a minimal surface
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- by Claes Johnson and Vidar Thomée PDF
- Math. Comp. 29 (1975), 343-349 Request permission
Abstract:
A finite element approximation of the minimal surface problem for a strictly convex bounded plane domain $\Omega$ is considered. The approximating functions are continuous and piecewise linear on a triangulation of $\Omega$. Error estimates of the form $O(h)$ in the ${H^1}$ norm and $O({h^2})$ in the ${L_p}$-norm $(p < 2)$ are proved, where h denotes the maximal side in the triangulation.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Math. Comp. 29 (1975), 343-349
- MSC: Primary 65N15
- DOI: https://doi.org/10.1090/S0025-5718-1975-0400741-X
- MathSciNet review: 0400741