An optimal L∞(L2)-error estimate for the discontinuous Galerkin approximation of a nonlinear non-stationary convection–diffusion problem
An optimal L∞(L2)-error estimate for the discontinuous Galerkin approximation of a nonlinear non-stationary convection–diffusion problem
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非线性非平稳对流扩散问题的不连续伽辽金近似的最优 L∞(L2) 误差估计
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
V. Sobotíková
中科院分区：
文献类型：
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作者：
V. Dolejší;M. Feistauer;V. Kučera;V. Sobotíková
本文研究了非线性非定常对流扩散问题的间断有限元方法。重点讨论了对称内罚Galerkin格式的L ∞（L2）-最优误差估计.在假设问题的精确解和椭圆对偶问题的解是充分正则的条件下，对标准单纯网格进行了误差分析。数值实验验证了理论结果。
This paper is concerned with the analysis of the discontinuous Galerkin finite-element method applied to the space semi-discretization of a nonlinear non-stationary convection-diffusion problem. Attention is paid on the derivation of an L ∞ (L 2 )-optimal error estimate for the symmetric interior penalty Galerkin scheme. The error analysis is performed for standard simplicial meshes under the assumption that the exact solution of the problem and the solution of an elliptic dual problem are sufficiently regular. The theoretical results are illustrated by numerical experiments.