Least – Squares Method For Estimating Diffusion Coefficient
author
Abstract:
Abstract: Determination of the diffusion coefficient on the base of solution of a linear inverse problem of the parameter estimation using the Least-square method is presented in this research. For this propose a set of temperature measurements at a single sensor location inside the heat conducting body was considered. The corresponding direct problem was then solved by the application of the heat fundamental solution.
similar resources
LEAST – SQUARES METHOD FOR ESTIMATING DIFFUSION COEFFICIENT
Determining the diffusion coefficient based on the solution of the linear inverse problem of the parameter estimation by using the Least-square method is presented. A set of temperature measurements at a single sensor location inside the heat conducting body is required. The corresponding direct problem will be solved by an application of the heat fundamental solution.
full textA new autocovariance least-squares method for estimating noise covariances
Industrial implementation of model-based control methods, such as model predictive control, is often complicated by the lack of knowledge about the disturbances entering the system. In this paper, we present a new method (ALS) to estimate the variances of the disturbances entering the process using routine operating data. A variety of methods have been proposed to solve this problem. Of note, w...
full textA Least Squares Approach to Estimating the Average Reservoir Pressure
Least squares method (LSM) is an accurate and rapid method for solving some analytical and numerical problems. This method can be used to estimate the average reservoir pressure in well test analysis. In fact, it may be employed to estimate parameters such as permeability (k) and pore volume (Vp). Regarding this point, buildup, drawdown, late transient test data, modified Muskat method, interfe...
full textLeast Squares Finite Element Method for 3D Unsteady Diffusion and Reaction-Diffusion problems
In this paper a study to application of Least Squares Finite Element Method (LSFEM) is made and with auxiliary equations (temperature derivatives) in the solution of Transient Three-dimensional Diffusion-Reaction. In order to do so, two applications are presented and discussed, one of them Pure Diffusion and another DiffusionReaction, both solved towards the constructive meshes with hexahedron ...
full textEstimating Errors in Least-Squares Fitting
While least-squares fitting procedures are commonly used in data analysis and are extensively discussed in the literature devoted to this subject, the proper assessment of errors resulting from such fits has received relatively little attention. The present work considers statistical errors in the fitted parameters, as well as in the values of the fitted function itself, resulting from random e...
full textLeast-Squares Method for the Oseen Equation
This article studies the least-squares finite element method for the linearized, stationary Navier–Stokes equation based on the stress-velocity-pressure formulation in d dimensions (d = 2 or 3). The least-squares functional is simply defined as the sum of the squares of the L2 norm of the residuals. It is shown that the homogeneous least-squares functional is elliptic and continuous in the H(di...
full textMy Resources
Journal title
volume 19 issue 2
pages 17- 19
publication date 2008-07
By following a journal you will be notified via email when a new issue of this journal is published.
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023