On the finite element approximation of ∞-harmonic functions

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Pryer, T. (2018) On the finite element approximation of ∞-harmonic functions. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 148 (4). pp. 819-834. ISSN 0308-2105 doi: 10.1017/S0308210517000294

Abstract/Summary

In this note we show that conforming Galerkin approximations for p-harmonic functions tend to ∞-harmonic functions in the limit p → ∞ and h → 0, where h denotes the Galerkin discretisation parameter.

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Item Type Article
URI https://reading-clone.eprints-hosting.org/id/eprint/67528
Identification Number/DOI 10.1017/S0308210517000294
Refereed Yes
Divisions Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher University of Cambridge
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