Identifier: 2008-21
Author(s): B. Dong and C.-W. Shu
Title: Analysis of a local discontinuous Galerkin method for fourth-order time-dependent problems
Page count: 28 pp.
Date: 2008-01-01
Abstract:
We analyze a local discontinuous Galerkin (LDG) method for fourth-order time-dependent problems. Optimal error estimates are obtained in one dimension and in multi-dimensions for Cartesian and triangular meshes. We extend the analysis to higher even-order equations and the linearized Cahn- Hilliard type equations. Numerical experiments are displayed to verify the theoretical results.
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