Investigation of Direct Integration for Nonlinear Finite Element Equations of Motion by the Modified Central Difference Method

N. A. Kalugin; L. M. Savelev

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Investigation of Direct Integration for Nonlinear Finite Element Equations of Motion by the Modified Central Difference Method

机译：修正的中心差分法研究非线性有限元运动方程的直接积分

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摘要

The investigation of stability and precision of the previously proposed implicit scheme of direct integration for the finite element equations of motion is presented. The scheme parameter values that ensure its unconditional stability in the nonlinear problems are determined and comparison with existing procedures is given.

机译：提出了对先前提出的运动有限元方程组直接积分隐式格式的稳定性和精度的研究。确定方案参数值以确保其在非线性问题中的无条件稳定性，并与现有程序进行比较。

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《Russian Aeronautics》 |2009年第4期|共4页
作者
N. A. Kalugin; L. M. Savelev;
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正文语种 eng
中图分类航空;
关键词
Finite element method; Equations of motion; Nonlinear systems; Direct integration; Unconditional stability;

机译：有限元法;运动方程;非线性系统;直接积分;无条件稳定性;

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1. Investigation of Direct Integration for Nonlinear Finite Element Equations of Motion by the Modified Central Difference Method [J] . N. A. Kalugin, L. M. Savelev Russian Aeronautics . 2009,第4期

机译：修正的中心差分法研究非线性有限元运动方程的直接积分
2. Solution of Fokker-Planck equation by finite element and finite difference methods for nonlinear systems [J] . PANKAJ KUMAR, S. NARAYANAN Sadhana: Academy Proceedings in Engineering Science . 2006,第4期

机译：非线性系统有限元和有限差分法求解福克-普朗克方程
3. The effect of numerical integration in finite element methods for general nonlinear hyperbolic equations [J] . Nguimbi Germain, Pongui Ngoma Diogene Vianney, Likibi Pellat Rhoss Beauneur Nonlinear Analysis and Differential Equations . 2017,第1a4期

机译：数值积分在一般非线性双曲方程有限元方法中的作用
4. Solving Large Sparse Finite Element Systems of Nonlinear Equations by Explicit SEMI-Direct Methods Based on Approximate Inverse Preconditioners [C] . Elias A. Lipitakis International Conference and Exhibition on High-Performance Computing and Networking Vienna, Austria, April 28-30, 1997 . 1997

机译：基于近似逆预处理器的显式SEMI-直接方法求解非线性方程的大稀疏有限元系统
5. Numerical Methods for the Landau-Lifshitz Equation in Micromagnetics : The Mimetic Finite Difference Method and the Mass-Lumped Finite Element Method. [D] . Kim, Eugenia Hail. 2017

机译：微磁学中的Landau-Lifshitz方程的数值方法：拟态有限差分法和集总有限元法。
6. Modified Taylor series method for solving nonlinear differential equations with mixed boundary conditions defined on finite intervals [O] . Hector Vazquez-Leal, Brahim Benhammouda, Uriel Antonio Filobello-Nino, -1

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7. Numerical methods of multibody mechanical system’s dynamic equations integration, based on methods of direct integration of finite element method’s dynamic equations [O] . A.A. Yudakov, V.G. Boikov 2013

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8. An Investigation of the Method of Finite Elements with Accuracy Comparisons to the Method of Finite Differences for Solution of the Transient Heat Conduction Equation Using Optimum Implicit Formulations. [R] . geneczko,joseph c. 1978

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Investigation of Direct Integration for Nonlinear Finite Element Equations of Motion by the Modified Central Difference Method

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