Discontinuous Galerkin finite element methods for one-dimensional Rosenau equation
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DOI10.1007/S41478-022-00406-0zbMATH Open1497.65169arXiv1911.12795OpenAlexW4220926417MaRDI QIDQ2093845
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Publication date: 27 October 2022
Published in: (Search for Journal in Brave)
Abstract: In this paper, discontinuous Galerkin finite element methods are applied to one dimensional Rosenau equation. Theoretical results including consistency, a priori bounds and optimal error estimates are established for both semidiscrete and fully discrete schemes. Numerical experiments are performed to validate the theoretical results. The decay estimates are verified numerically for the Rosenau equation.
Full work available at URL: https://arxiv.org/abs/1911.12795
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