【摘 要】
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In this talk, we develop and analyze an arbitrary Lagrangian-Eulerian discontinuous Galerkin (ALE-DG) method for one dimensional conservation laws,which satises the geometric conservation law.For the
【机 构】
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Khristianovieh Institute of Theoretical and Applied Mechanics, Siberian Branch of Russian Academy of
【出 处】
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第十七届全国流体力学数值方法研讨会
论文部分内容阅读
In this talk, we develop and analyze an arbitrary Lagrangian-Eulerian discontinuous Galerkin (ALE-DG) method for one dimensional conservation laws,which satises the geometric conservation law.For the semi-discrete ALE-DG method,when applied to nonlinear scalar conservation laws, a cell entropy inequality, L2 stability and error estimates are proven.More precisely, we prove the sub-optimal (k+1/2) convergence for monotone uxes, and optimal (k+l) convergence for an upwind ux, when a piecewise Pk polynomial approximation space is used.
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