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arXiv · 1901.02799

Convergence analysis of a Petrov-Galerkin method for fractional wave problems with nonsmooth data

Hao Luo·Binjie Li·Xiaoping Xie
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Abstract

This paper analyzes the convergence of a Petrov-Galerkin method for time fractional wave problems with nonsmooth data. Well-posedness and regularity of the weak solution to the time fractional wave problem are firstly established. Then an optimal convergence analysis with nonsmooth data is derived. Moreover, several numerical experiments are presented to validate the theoretical results.

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Hao Luo, Binjie Li, Xiaoping Xie. 2019-04-01. Convergence analysis of a Petrov-Galerkin method for fractional wave problems with nonsmooth data. https://arxiv.org/abs/1901.02799

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