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H3 and H4 regularities of the poisson equation on polygonal domains

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (2016) 9582 199-201
DOI: 10.1007/978-3-319-32859-1_16
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Abstract

This paper presents two equalities of H3 and H4 semi-norms for the solutions of the Poisson equation in a two-dimensional polygonal domain. These equalities enable us to obtain higher order constructive a priori error estimates for finite element approximation of the Poisson equation with validated computing.

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Kinoshita, T., Watanabe, Y., & Nakao, M. T. (2016). H3 and H4 regularities of the poisson equation on polygonal domains. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9582, pp. 199–201). Springer Verlag. https://doi.org/10.1007/978-3-319-32859-1_16

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