Error Estimation and p-Adaptivity Based on the Partition of Unity Method

机译：基于Unity方法分区的误差估计和p适度

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This paper investigates a new p-adaptive scheme based on nodal enrichment technique. The method requires an extra set of polynomials to enrich the classical nite element shape functions via their well-known partition-of-unity property. The adaptive procedure, which is node-by-node basis, is driven by residual-type error of the displacement at a point. The capability of the new p-adaptive technique is investigated in linear elasticity.

机译：本文研究了一种基于节点富集技术的新型P-Adaptive方案。该方法需要额外的多项式，以通过其众所周知的unity属性来丰富经典的NITE元素形状功能。作为节点节点的自适应过程是由一个点处的位移的残差型错误驱动的。以线性弹性研究了新的P-Adaptive技术的能力。

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《International conference on computational structures technology》|2002年||共12页
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T. Pannachet; P. Díez; H. Askes;
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正文语种
中图分类结构理论、计算;
关键词
error assessment; remeshing; ??-adaptivity; partition of unity; goal-oriented error estimation;

机译：错误评估;倒闭;?? - 适应性;统一分区;面向目标的错误估计;

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1. OPTIMAL ERROR ESTIMATES OF THE PARTITION OF UNITY METHOD WITH LOCAL POLYNOMIAL APPROXIMATION SPACES [J] . Yun-qing Huang, Wei Li, Fang Su Journal of Computational Mathematics . 2006,第3期

机译：具有局部多项式逼近空间的统一方法划分的最优误差估计。
2. On error estimator and p-adaptivity in the generalized finite element method [J] . F. B. Barros, S. P. B. Proenca, C. S. de Barcellos International Journal for Numerical Methods in Engineering . 2004,第14期

机译：广义有限元方法中的误差估计和p适应性
3. RBF-Based Partition of Unity Methods for Elliptic PDEs: Adaptivity and Stability Issues Via Variably Scaled Kernels [J] . De Marchi S., Martinez A., Perracchione E., Journal of Scientific Computing . 2019,第1期

机译：椭圆PDE的基于RBF的统一方法划分：通过可变尺度的核的适应性和稳定性问题
4. Error Estimation and p-Adaptivity Based on the Partition of Unity Method [C] . T. Pannachet, P. Díez, H. Askes International conference on computational structures technology . 2002

机译：基于Unity方法分区的误差估计和p适度
5. Shape and Topology Optimization with Parametric Level Set Method and Partition of Unity Method. [D] . Ho, Hon Shan. 2010

机译：使用参数级集方法和Unity方法的分区进行形状和拓扑优化。
6. Estimation and Testing Based on Data Subject to Measurement Errors: From Parametric to Non-Parametric Likelihood Methods [O] . Albert Vexler, Wan-Min Tsai, Yaakov Malinovsky -1

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7. Automatic Generation of Octree-based Three-Dimensional Discretizations for Partition of Unity Methods [O] . Ottmar Klaas, Mark S. Shephard 2000

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Error Estimation and p-Adaptivity Based on the Partition of Unity Method

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