A posteriori error estimation by postprocessor independent of method of flowfield calculation

A posteriori error estimation by postprocessor independent of method of flowfield calculation

1. I N T R O D U C T I O N The present paper is a imed at the quant i ta t ive es t imat ion of approx imat ion error in the verification of computa t iona l codes [1-3]. The error in prac t ica l ly useful functionals due to the approx imat ion error may be calcula ted using adjoint equat ions and different forms of the residual [4-13]. For example, the residual may be calcula ted for a differ...

A Posteriori Error Estimation by Postprocessor Independent of Flowfield Calculation Method

We consider a postprocessor that is able to analyze the flow-field generated by an external (unknown) code so as to determine the error of useful functionals. The residuals generated by the action of a high order finite-difference stencil on a numerically computed flow-field are used for adjoint based a-posteriori error estimation. The method requires information on the physical model (PDE syst...

solution of security constrained unit commitment problem by a new multi-objective optimization method

چکیده-پخش بار بهینه به عنوان یکی از ابزار زیر بنایی برای تحلیل سیستم های قدرت پیچیده ،برای مدت طولانی مورد بررسی قرار گرفته است.پخش بار بهینه توابع هدف یک سیستم قدرت از جمله تابع هزینه سوخت ،آلودگی ،تلفات را بهینه می کند،و هم زمان قیود سیستم قدرت را نیز برآورده می کند.در کلی ترین حالتopf یک مساله بهینه سازی غیر خطی ،غیر محدب،مقیاس بزرگ،و ایستا می باشد که می تواند شامل متغیرهای کنترلی پیوسته و گ...

A Posteriori Error Estimation and Global Error Control for Ordinary Differential Equations by the Adjoint Method

In this paper we propose a general method for a posteriori error estimation in the solution of initial value problems in ordinary differential equations (ODEs). With the help of adjoint sensitivity software, this method can be implemented efficiently. It provides a condition estimate for the ODE system. We also propose an algorithm for global error control, based on the condition of the system ...

A posteriori error estimation for ellipti eigenproblems