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

机译：基于Unity方法划分的误差估计和p适应性

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This paper investigates a new p-adaptive scheme based on nodal enrichment technique.rnThe method requires an extra set of polynomials to enrich the classical u0002niternelement shape functions via their well-known partition-of-unity property. The adaptivernprocedure, which is node-by-node basis, is driven by residual-type error of therndisplacement at a point. The capability of the new p-adaptive technique is investigatedrnin linear elasticity.

机译：本文研究了一种基于节点富集技术的新的p自适应方案。该方法需要额外的多项式集，以通过其众所周知的单元划分性质来丰富经典的u0002niternelement形状函数。逐节点的自适应过程是由一个点的位移的残差类型误差驱动的。在线性弹性方面研究了新的p自适应技术的能力。

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来源
《Proceedings of the Sixth international conference on computational structures technology》|2002年|p.1-12|共12页
会议地点 Prague(CZ);Prague(CZ);Prague(CZ);Prague(CZ)
作者
T. Pannachet; P. Díez; H. Askes;
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作者单位

Faculty of Civil Engineering and GeosciencesDelft University of Technology, The Netherlands;

Departament de Matemàtica Aplicada IIIUniversitat Politècnica de Catalunya, Barcelona, Spain;

Faculty of Civil Engineering and GeosciencesDelft University of Technology, The Netherlands;

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会议组织
原文格式 PDF
正文语种 eng
中图分类结构理论、计算;
关键词
error assessment; remeshing; ??-adaptivity; partition of unity; goal-orientedrnerror estimation;

机译：错误评估;重新定型;适应性;统一划分;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

机译：基于数据受测量误差的估计和测试：从参数到非参数似然方法
7. Automatic Generation of Octree-based Three-Dimensional Discretizations for Partition of Unity Methods [O] . Ottmar Klaas, Mark S. Shephard 2000

机译：基于八叉树的三维离散自动生成统一方法划分

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

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