Analysis of a Local Discontinuous Galerkin Method for Linear Time-Dependent Fourth-Order Problems

Authors:
Bo Dong;Chi-Wang Shu
Affiliations:
bdong@dam.brown.edu and shu@dam.brown.edu;-
Venue:
SIAM Journal on Numerical Analysis
Year:
2009

Citing 0
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Crank-Nicolson/quasi-wavelets method for solving fourth order partial integro-differential equation with a weakly singular kernel

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Abstract

We analyze a local discontinuous Galerkin method for fourth-order time-dependent problems. Optimal error estimates are obtained in one dimension and in multidimensions 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.