Least-squares spectral element method with implicit time integration for the inviscid Burgers equation

Conference paper (2006)

Authors

G. Oldenziel

M.I. Gerritsma

Hyperbolic equations Least-Squares Spectral Element Methods Hp-convergence

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Published Date

08-09-2006

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Abstract

This paper describes the use of the Least-Squares Spectral Element Method for non-linear hyperbolic equations. The one-dimensional inviscid Burgers equation is specifically subject of investigation. A second order backward difference method is used for time stepping. The behaviour of this formulation is examined by application to a testcase where a moving shock develops. For this testcase an hp-convergence study is performed.

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