Output error estimation for summation-by-parts finite-difference schemes

Hicken J.E.

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Output error estimation for summation-by-parts finite-difference schemes

机译：分部加总有限差分方案的输出误差估计

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The paper develops a posteriori error estimates of integral output functionals for summation-by-parts finite-difference methods. The error estimates are based on the adjoint-weighted residual method and take advantage of a variational interpretation of summation-by-parts discretizations. The estimates are computed on a fixed grid and do not require an embedded grid or explicit interpolation operators. For smooth boundary-value problems containing first and second derivatives the error estimates converge to the exact error as the mesh is refined. The theory is verified using linear boundary-value problems and the Euler equations.

机译：本文针对部分求和有限差分法，开发了积分输出函数的后验误差估计。误差估计基于伴随加权残差法，并利用了部分求和离散化的变体解释。估计值是在固定网格上计算的，不需要嵌入式网格或显式插值运算符。对于包含一阶和二阶导数的光滑边值问题，随着网格的细化，误差估计收敛到确切的误差。使用线性边值问题和欧拉方程验证了该理论。

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《Journal of Computational Physics》 |2012年第9期|共21页
作者
Hicken J.E.;
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正文语种 eng
中图分类数学物理方法;
关键词
A posteriori error estimation; Adjoint-weighted residual method; Output error estimation; Summation-by-parts operators;

机译：后验误差估计;伴随加权残差法;输出误差估计;分部求和;

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机译：分部加总有限差分方案的输出误差估计
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Output error estimation for summation-by-parts finite-difference schemes

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