CERTIFIED REDUCED-BASIS SOLUTIONS OF VISCOUS BURGERS EQUATION PARAMETRIZED BY INITIAL AND BOUNDARY VALUES
CERTIFIED REDUCED-BASIS SOLUTIONS OF VISCOUS BURGERS EQUATION PARAMETRIZED BY INITIAL AND BOUNDARY VALUES
复制标题
初始值和边界值参数化的粘性汉堡方程的降基认证解
DOI：
10.1051/m2an/2012029
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
C. Prieur
中科院分区：
文献类型：
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作者：
Alexandre Janon;M. Nodet;C. Prieur
我们提出了一个减少的基础离线/在线粘性Burgers初边值问题的程序，使有效的近似计算的解决方案，该方程的参数化粘度和初始和边界值数据。这个过程带有一个快速评估的严格的误差界证明近似程序。我们的数值实验表明显着的计算节省，以及效率的误差界。
We present a reduced basis offline/online procedure for viscous Burgers initial boundary value problem, enabling efficient approximate computation of the solutions of this equation for parametrized viscosity and initial and boundary value data. This procedure comes with a fast-evaluated rigorous error bound certifying the approximation procedure. Our numerical experiments show significant computational savings, as well as efficiency of the error bound.