一类具有周期边界条件的一般双曲型方程的DG法的超收敛性

Proceedings of the 3rd International Conference on Computer Science and Application Engineering Pub Date : 2019-10-22 DOI:10.1145/3331453.3360979

Zhiguang Xiong, Wenjing Guo, Juan Ma

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引用次数: 0

摘要

本文研究了一类具有周期边界条件的一般双曲型方程在迎风通量作用下的不连续Galerkin方法。通过构造改进的修正函数和插值函数，导出了对任意多项式k次的点向和单元平均误差的超收敛估计。

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Superconvergence of DG Method for a Class of General Hyperbolic Equations with Periodic Boundary Conditions

This paper studies the discontinuous Galerkin (DG) method for a class of general hyperbolic equations with periodic boundary conditions when upwind fluxes are used. By constructing a improved correction function and interpolation function, for any polynomial degree k superconvergence of the point-wise and element average error estimates are derived.

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Proceedings of the 3rd International Conference on Computer Science and Application Engineering

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