Uniqueness of discrete solutions of nonmonotone PDEs without a globally fine mesh condition
Uniqueness of discrete solutions of nonmonotone PDEs without a globally fine mesh condition
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DOI：
10.1007/s00211-018-0956-4
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发表时间：
2017-04
影响因子：
2.1
通讯作者：
Sara N. Pollock;Yunrong Zhu
中科院分区：
文献类型：
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作者：
Sara N. Pollock;Yunrong Zhu
在一维和二维情形下，建立了非单调拟线性椭圆型问题有限元解的唯一性。在每种情况下，我们证明了一个比较定理的基础上，局部边界的变化的离散解决方案，每个元素。唯一性来自于这个结果，并且不需要全局小的网格尺寸。
Uniqueness of the finite element solution for nonmonotone quasilinear problems of elliptic type is established in one and two dimensions. In each case, we prove a comparison theorem based on locally bounding the variation of the discrete solution over each element. The uniqueness follows from this result, and does not require a globally small meshsize.