AN EXISTENCE FOR AN INVERSE PROBLEM FROM COMBUSTION THEORY AND ITS NUMERICAL SIMULATION

2003 ◽  
Author(s):  
YICHEN MA ◽  
QI CHEN ◽  
GENJUN YING ◽  
GONGSHENG LI
Keyword(s):  
Numerical Simulation ◽  
Inverse Problem ◽  
Combustion Theory

scholarly journals Determination of conductivity in a heat equation

2000 ◽  
Vol 24 (9) ◽  
pp. 589-594 ◽  
Author(s):  
Ping Wang ◽  
Kewang Zheng
Keyword(s):  
Numerical Simulation ◽  
Inverse Problem ◽  
Approximate Solution ◽  
Heat Equation ◽  
Ill Posed ◽  
Smooth Data

We consider the problem of determining the conductivity in a heat equation from overspecified non-smooth data. It is an ill-posed inverse problem. We apply a regularization approach to define and construct a stable approximate solution. We also conduct numerical simulation to demonstrate the accuracy of our approximation.

Improved Tikhonov Regularization Research and Applied in Inverse Problem

2011 ◽  
Vol 50-51 ◽  
pp. 447-450 ◽  
Author(s):  
Ya Mian Peng ◽  
Kai Li Wang ◽  
Huan Cheng Zhang
Keyword(s):  
Numerical Simulation ◽  
Inverse Problem ◽  
Tikhonov Regularization ◽  
Minimization Problem ◽  
Normal Equation ◽  
Functional Minimization ◽  
Filter Function ◽  
The Stability ◽  
Numerical Precision ◽  
Solution Parameter

The regularization which constructs with the first filter function is precisely the Tikhonov regularization. This article has proven the Tikhonov functional minimization problem is decides suitably, namely satisfies the solution the existence, the solution unique reconciliation to rely on continuously the data stability; and this minimization problem in solves the first class equation equally the normal equation. The numerical simulation experiment's result indicated that distinguishes the inverse with the regular reduction solution parameter to have the numerical precision to be high and the stability is good and convergence rate quick characteristic.

Numerical Method Research of Partial Differential Equations Inverse Problem

2011 ◽  
Vol 50-51 ◽  
pp. 455-458
Author(s):  
Ya Li He ◽  
Ya Mian Peng ◽  
Li Chao Feng
Keyword(s):  
Numerical Simulation ◽  
Genetic Algorithm ◽  
Inverse Problem ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Numerical Method ◽  
High Accuracy ◽  
Practical Application ◽  
Partial Differential ◽  
Comprehensive Coverage

It is feasible for the inverse problem of research in the very vital significance between in practical application. Genetic algorithm is applied in many aspects, but we are more concerned with the application in mathematics. From the start of genetic algorithm, the collection to search for comprehensive coverage of preferred. Due to genetic algorithm is used to search the information, and does not need such problems with the problem is directly related to the derivative of the information. Finally, the results of numerical simulation show that the GA method has high accuracy and quick convergent speed. And it is easy to program and calculate. It is worth of practical application.

scholarly journals Design Method for Channel Diffusers of Centrifugal Compressors

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Mykola Kalinkevych ◽  
Andriy Skoryk
Keyword(s):  
Numerical Simulation ◽  
Boundary Layer ◽  
Inverse Problem ◽  
High Pressure ◽  
Gas Dynamics ◽  
Design Method ◽  
Compressor Stage ◽  
Centrifugal Compressors ◽  
Vaned Diffuser ◽  
Gas Dynamic

The design method for channel diffusers of centrifugal compressors, which is based on the solving of the inverse problem of gas dynamics, is presented in the paper. The concept of the design is to provide high pressure recovery of the diffuser by assuming the preseparation condition of the boundary layer along one of the channel surfaces. The channel diffuser was designed with the use of developed method to replace the vaned diffuser of the centrifugal compressor model stage. The numerical simulation of the diffusers was implemented by means of CFD software. Obtained gas dynamic characteristics of the designed diffuser were compared to the base vaned diffuser of the compressor stage.

scholarly journals Analysis and numerical simulation of an inverse problem for a structured cell population dynamics model

2019 ◽  
Vol 16 (4) ◽  
pp. 3018-3046
Author(s):  
Frédérique Clément ◽  
◽  
Béatrice Laroche ◽  
Frédérique Robin ◽  
◽  
...  
Keyword(s):  
Numerical Simulation ◽  
Inverse Problem ◽  
Population Dynamics ◽  
Cell Population ◽  
Dynamics Model ◽  
Cell Population Dynamics ◽  
Population Dynamics Model

scholarly journals Numerical Simulation Techniques Research and Application in Genetic Algorithm Design

2014 ◽  
Vol 8 (1) ◽  
pp. 63-68
Author(s):  
Yamian Peng ◽  
Chunfeng Liu ◽  
Dianxuan Gong
Keyword(s):  
Numerical Simulation ◽  
Genetic Algorithm ◽  
Inverse Problem ◽  
Computer Simulation ◽  
Parameter Identification ◽  
Algorithm Design ◽  
Global Optimum ◽  
Two Dimensional ◽  
Simulation Techniques ◽  
Numerical Calculation Method

Numerical simulation techniques are also called computer simulation, which take the computer as a means to study all kinds of engineering and physical problems even natural objective through numerical calculation method and image display. This paper studied the numerical simulation techniques and try to solve two-dimensional convectiondiffusion equation parameter identification inverse problem by the genetic algorithm. Firstly, the finite element method was illustrated to solve the steady problem of two-dimensional convection-diffusion equation before it compute parameter identification inverse problem each time. Subsequently, it can search the best approximate solution from many initial points and obtained the global optimum solution by means of crossover operator and mutation operator. Finally, the paper discussed the computer simulation of GA for solving the inverse problem, and puts forward a new method for solving inverse problem: Genetic algorithm based on the best disturbed iteration. The results of numerical simulation show that the genetic algorithm has the higher accuracy and the quicker convergent speed. And it is easy to program and calculate and is of great application.

Sign in / Sign up

Export Citation Format

Share Document