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Journal of Scientific Computing
Erschienen in: Journal of Scientific Computing 2/2017

25.10.2016

Polynomial Preserving Recovery for High Frequency Wave Propagation

verfasst von: Hailong Guo, Xu Yang

Erschienen in: Journal of Scientific Computing | Ausgabe 2/2017

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Abstract

Polynomial preserving recovery (PPR) was first proposed and analyzed in Zhang and Naga in SIAM J Sci Comput 26(4):1192–1213, (2005), with intensive following applications on elliptic problems. In this paper, we generalize the study of PPR to high-frequency wave propagation. Specifically, we establish the supercloseness between finite element solution and its interpolation with explicit dependence on the frequency of wavefield, and then prove the superconvergence of PPR for high-frequency solutions to wave equation based on the supercloseness. We also present several numerical examples of PPR for both low-frequency and high-frequency wave propagation in order to confirm the theoretical results of superconvergence analysis.
Vorheriger Artikel Transformation Methods for the Numerical Integration of Three-Dimensional Singular Functions
Nächster Artikel Local Discontinuous Galerkin Method for Incompressible Miscible Displacement Problem in Porous Media

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Metadaten
Titel
Polynomial Preserving Recovery for High Frequency Wave Propagation
verfasst von
Hailong Guo
Xu Yang
Publikationsdatum
25.10.2016
Verlag
Springer US
Erschienen in
Journal of Scientific Computing / Ausgabe 2/2017
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI
https://doi.org/10.1007/s10915-016-0312-8

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