A procedure for the temperature reconstruction in corner domains from Cauchy data
A procedure for the temperature reconstruction in corner domains from Cauchy data
复制标题
根据柯西数据重建角域温度的过程
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
L. Marin
中科院分区：
文献类型：
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作者：
T. Johansson;L. Marin
本文提出了一种基于有界平面域边界部分柯西数据重构稳态温度场的迭代方法，其中边界除有限个角点外均为光滑。在每一步中，求解一系列热算子及其伴随算子的混合适定边值问题。在加权l2空间中证明了收敛性。数值结果表明，该方法在较短的迭代时间内就能得到准确稳定的近似。
An iterative procedure is proposed for the reconstruction of a stationary temperature field from Cauchy data given on a part of the boundary of a bounded plane domain where the boundary is smooth except for a finite number of corner points. In each step, a series of mixed well-posed boundary value problems are solved for the heat operator and its adjoint. Convergence is proved in a weighted L2-space. Numerical results are included which show that the procedure gives accurate and stable approximations in relatively few iterations.