APPROXIMATE SOLUTION OF A NONLINEAR SYSTEM OF EQUATIONS FOR TWO-PHASE MEDIA

V. V. Skopetskii; O. A. Marchenko; T. A. Samoilenko

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APPROXIMATE SOLUTION OF A NONLINEAR SYSTEM OF EQUATIONS FOR TWO-PHASE MEDIA

机译：两相介质非线性方程组的逼近解

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摘要

A mixed initial-boundary-value problem for the nonlinear equations describing the dynamic consolidation of water-saturated soils is considered. The error of a time-continuous approximate generalized solution is estimated using the finite-element method.

机译：考虑了描述水饱和土动力固结的非线性方程的混合初边值问题。使用有限元方法估计时间连续近似广义解的误差。

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来源
《Cybernetics and Systems Analysis 》 |2008年第4期| p.524-536| 共13页
作者
V. V. Skopetskii; O. A. Marchenko; T. A. Samoilenko;
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作者单位

V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine;

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收录信息美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类自动化技术、计算机技术 ;
关键词
nonlinear system; differential model of two-phase soil media; generalized solution; finite-element method; estimate of approximate generalized solution;

机译：非线性系统;两相土介质微分模型;广义解;有限元法;近似广义解的估计;

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专利

1. DERIVING A DISCRETE APPROXIMATE SOLUTION FOR A NONLINEAR DYNAMIC SYSTEM OF TWO-PHASE SOIL MEDIA [J] . V. V. Skopetskii, O. A. Marchenko, T. A. Samoilenko Cybemetics and Systems Analysis . 2009 ,第4期

机译：两相土壤介质非线性动力系统的离散逼近解
2. Machine-learning error models for approximate solutions to parameterized systems of nonlinear equations [J] . Freno Brian A., Carlberg Kevin T. Computer Methods in Applied Mechanics and Engineering . 2019 ,第MAYa1期

机译：非线性方程参数化系统近似解的机器学习误差模型
3. Machine-learning error models for approximate solutions to parameterized systems of nonlinear equations [J] . Freno Brian A., Carlberg Kevin T. Computer Methods in Applied Mechanics and Engineering . 2019 ,第May1期

机译：非线性方程参数化系统近似解的机器学习错误模型
4. Numerical solution of iterative parabolic equations approximating the nonlinear Helmholtz equation [C] . Pavel S. Petrov, Andrey G. Tyshchenko, Matthias Ehrhardt International Conference on Days on Diffraction . 2018

机译：近似非线性亥姆霍兹方程的迭代抛物方程的数值解
5. Topics in nonlinear elliptic equations: (1) Bifurcation theory of nonlinear elliptic equations; (2) Spike layer solutions of the Cahn-Hilliard equation. [D] . Shi, Junping. 1998

机译：非线性椭圆方程的主题：（1）非线性椭圆方程的分岔理论；（2）Cahn-Hilliard方程的尖峰层解。
6. A new multistage technique for approximate analytical solution of nonlinear differential equations [O] . Saheed Ojo Akindeinde 2020

机译：非线性微分方程近似分析解的一种新型多级技术
7. New approximate solutions to fractional nonlinear systems of partial differential equations using the FNDM [O] . 2016

机译：使用FNDM的偏微分方程分数阶非线性系统的新近似解
8. NONLINEAR ACOUSTICS： PART Ⅰ，PHYSICAL PHENOMENA, EXACT BASIC EQUATIONS, AND PROBLEMS IN FORMULATION AND SOLUTION OF APPROXIMATE EQUATIONS [R] . Sam Hanish 1974

机译：非线性声学：第一部分，物理现象，精确基本方程，以及近似方程的公式和解的问题

APPROXIMATE SOLUTION OF A NONLINEAR SYSTEM OF EQUATIONS FOR TWO-PHASE MEDIA

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