## Interior maximum norm estimates for finite element methods

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- by A. H. Schatz and L. B. Wahlbin PDF
- Math. Comp.
**31**(1977), 414-442 Request permission

## Abstract:

Interior a priori error estimates in the maximum norm are derived from interior Ritz-Galerkin equations which are common to a class of methods used in approximating solutions of second order elliptic boundary value problems. The estimates are valid for a large class of piecewise polynomial subspaces used in practice, which are defined on quasi-uniform meshes. It is shown that the error in an interior domain ${\Omega _1}$ can be estimated with the best order of accuracy that is possible locally for the subspaces used plus the error in a weaker norm over a slightly larger domain which measures the effects from outside of the domain ${\Omega _1}$.## References

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*nd Conf. on Finite Elements*(Rennes, France, May 12-14, 1975).

## Additional Information

- © Copyright 1977 American Mathematical Society
- Journal: Math. Comp.
**31**(1977), 414-442 - MSC: Primary 65N30
- DOI: https://doi.org/10.1090/S0025-5718-1977-0431753-X
- MathSciNet review: 0431753