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Achieving finite element mesh quality via optimization of the Jacobian matrix norm and associated quantities. Part II?A framework for volume mesh optimization and the condition number of the Jacobian matrix

机译：通过优化Jacobian矩阵规范和相关数量实现有限元网格质量。第二部分？批量网格优化的框架和雅略族裔矩阵的条件号

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Patrick M. Knupp;
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1. Achieving finite element mesh quality via optimization of the Jacobian matrix norm and associated quantities. Part II-A framework for volume mesh optimization and the condition number of the Jacobian matrix [J] . Patrick M. Knupp International Journal for Numerical Methods in Engineering . 2000,第8期

机译：通过优化雅可比矩阵范数和相关数量来实现有限元网格质量。第II-A部分，用于体积网格优化的框架和Jacobian矩阵的条件数
2. Achieving finite element mesh quality via optimization of the Jacobian matrix norm and associated quantities. Part I-a framework for surface mesh optimization [J] . Patrick M. Knupp International Journal for Numerical Methods in Engineering . 2000,第3期

机译：通过优化雅可比矩阵范数和相关数量来实现有限元网格质量。第一部分-表面网格优化的框架
3. A framework for variational grid generation: Conditioning the Jacobian matrix with matrix norms [J] . Knupp PM., Robidoux N. SIAM Journal on Scientific Computing . 2000,第6期

机译：可变网格生成的框架：用矩阵范数调节Jacobian矩阵
4. EFFICIENT RESIDUAL AND MATRIX-FREE JACOBIAN EVALUATION FOR THREE-DIMENSIONAL TRI-QUADRATIC HEXAHEDRAL FINITE ELEMENTS WITH NEARLY-INCOMPRESSIBLE NEO-HOOKEAN HYPERELASTICITY APPLIED TO SOFT MATERIALS ON UNSTRUCTURED MESHES IN PARALLEL, WITH PETSC AND LIBCEED [C] . Arash Mehraban, Jed Brown, Valeria Barra, International Mechanical Engineering Congress and Exposition . 2020

机译：高效的残差和矩阵雅可族曲线评估三维三二次六面六面向有限元具有近乎不可压缩的新妓女的高弹性，并行于非结构化网格上的软材料，与PETSC和Libceed
5. Efficient Residual and Matrix-Free Jacobian Evaluation for Three-Dimensional Hexahedral Finite Elements with Nearly-Incompressible Neo-Hookean Hyperelasticity as Applied to Soft Materials [D] . Mehraban, Arash. 2021

机译：高效的残差和矩阵无雅可族曲线评估三维六面向有限元，具有柔软材料的几乎不可压缩的新妓女的高弹性
6. Finite-Element-Mesh Based Method for Modeling and Optimization of Lattice Structures for Additive Manufacturing [O] . Wenjiong Chen, Xiaonan Zheng, Shutian Liu 2018

机译：基于有限元网格的增材制造格子结构建模与优化方法
7. A New Mesh Smoothing Method to Improve the Condition Number of Submatrices of Coefficient Matrix in Edge Finite Element Method [O] . Noguchi, So, Takada, Atsushi, Nobuyama, Fumiaki, 2013

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Achieving finite element mesh quality via optimization of the Jacobian matrix norm and associated quantities. Part II?A framework for volume mesh optimization and the condition number of the Jacobian matrix

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