A finite element algorithm using linear tetrahedral elements for quantum mechanical calculations

M. W. Cadilhe; J. J. Soares Neto

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A finite element algorithm using linear tetrahedral elements for quantum mechanical calculations

机译：使用线性四面体元素进行量子力学计算的有限元算法

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摘要

A finite element algorithm using linear tetrahedral elements is presented. The Galerkin method is used, instead of the traditional Ritz variational procedure. The algorithm originated a FORTRAN code that was tested for the quantum mechanical isotropic three-dimensional harmonic oscillator.

机译：提出了一种使用线性四面体单元的有限元算法。使用的是Galerkin方法，而不是传统的Ritz变分过程。该算法产生了一个FORTRAN代码，该代码已针对量子力学各向同性三维谐波振荡器进行了测试。

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《Computer physics communications》 |2001年第3期|共15页
作者
M. W. Cadilhe; J. J. Soares Neto;
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正文语种 eng
中图分类计算机的应用;
关键词
three-dimensional finite element method; h-version; linear tetrahedral element; Galerkin method;

机译：三维有限元法;h版本;线性四面体;Galerkin法;

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专利

1. A finite element algorithm using linear tetrahedral elements for quantum mechanical calculations [J] . M. W. Cadilhe, J. J. Soares Neto Computer physics communications . 2001,第3期

机译：使用线性四面体元素进行量子力学计算的有限元算法
2. A face-based smoothed finite element method (FS-FEM) for 3D linear and geometrically non-linear solid mechanics problems using 4-node tetrahedral elements [J] . T. Nguyen-Thoi, G. R. Liu, K. Y. Lam, International Journal for Numerical Methods in Engineering . 2009,第3期

机译：基于面的平滑有限元方法（FS-FEM），用于使用4节点四面体单元的3D线性和几何非线性实体力学问题
3. A new element-by-element method for trajectory calculations with tetrahedral finite element meshes [J] . Heniche M, Tanguy PA International Journal for Numerical Methods in Engineering . 2006,第9期

机译：四面体有限元网格计算轨迹的一种新的逐元素方法
4. A correlation between thermo-mechanical finite elements tool with electro-thermal finite elements tool: towards an electro-mechanical finite elements modeling for IGBT used in power assemblies [C] . Belmehdi Y., Azzopardi S., Woirgard E., 2010 11th International Conference on Thermal, Mechanical amp; Multi-Physics Simulation, and Experiments in Microelectronics and Microsystems (EuroSimE) . 2010

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5. A Tetrahedral Refinement Algorithm for Adaptive Finite Element Methods in Electromagnetics. [D] . Pang, Boluan. 2010

机译：电磁学中自适应有限元方法的四面体优化算法。
6. Finite Element Simulation of Articular Contact Mechanics with Quadratic Tetrahedral Elements [O] . Steve A. Maas, Benjamin J. Ellis, David S. Rawlins, -1

机译：二次四面体单元的关节接触力学有限元模拟
7. Formulated alpha finite element method with deviatoric / volumetric split for highly precise deformation calculation by using three dimensional tetrahedral element (In case of infinitesimal isotropic elasticity) [O] . Masaki FUJIKAWA, Kiyotaka ISHIKAWA, Chobin MAKABE, 2016

机译：配制α有限元方法，采用三维四面体元素（在无限各向同性弹性的情况下）的高精度变形计算
8. Survey and Development of Finite Elements for Nonlinear Structural Analysis. Volume 2: Nonlinear Shell Finite Elements [R] . 1976

机译：非线性结构分析有限元的研究与发展。第2卷：非线性壳有限元

A finite element algorithm using linear tetrahedral elements for quantum mechanical calculations

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