Higher-order meshing of implicit geometries—Part I: Integration and interpolation in cut elements

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• 作者：T.P. Fries ; ^{fries@tugraz.at} ; ; S. Omerović ; D. Schö ; llhammer ; J. Steidl
• 关键词：Numerical integration ; Level-set method ; Fictitious domain method ; XFEM ; GFEM ; Interface capturing
• 刊名：Computer Methods in Applied Mechanics and Engineering
• 出版年：2017
• 出版时间：1 January 2017
• 年：2017
• 卷：313
• 期：Complete
• 页码：759-784
• 全文大小：4211 K
• 卷排序：313

文摘

Higher-order accurate quadrature rules are proposed for elements cut by zero-level sets. A meshing of zero-level sets by higher-order interface elements is proposed (reconstruction). A meshing of the cut background elements with higher-order sub-elements is proposed (decomposition). The resulting meshes are used for integration and interpolation in 2D and 3D. Corners and edges in the implicit geometries are considered consistently.