Inverse Estimation of Heat Flux and Temperature in 3D Finite Domain

Inhaltsverzeichnis (Table of Contents)

• I. INTRODUCTION.
• 1. Background - Inverse Problems
• 2. Related Work...
• 3. Kalman Filtering and Present Problem
• II. Forward Problem......
• 1. Problem Description and Finite Difference Solution.....
• 2. Sensitivity Analysis..........\li>
• III. INVERSE ESTIMATION.
• 1. Kalman Filtering.
• 2. Adaptive State Estimation - ASE.
• IV. RESULTS.
• V. CONCLUSION.

Zielsetzung und Themenschwerpunkte (Objectives and Key Themes)

This thesis presents an inverse estimation method for determining heat flux and temperature distribution within a 3D finite domain. The research utilizes the Kalman filtering technique and its adaptive state estimation variant to address the challenges inherent in inverse problems.

• Inverse estimation of heat flux and temperature distribution in 3D finite domain
• Application of Kalman filtering and adaptive state estimation techniques
• Analysis of the forward problem using finite difference methods
• Exploration of sensitivity analysis for understanding parameter influence
• Presentation of results and concluding remarks

Zusammenfassung der Kapitel (Chapter Summaries)

• I. INTRODUCTION: This chapter provides an overview of the concept of inverse problems, examines related research, and introduces the Kalman filtering technique as it applies to the specific problem of heat flux and temperature estimation.
• II. Forward Problem: This chapter delves into the forward problem, outlining the specific problem description and its solution using finite difference methods. It also includes a comprehensive analysis of the sensitivity of the problem to different parameters.
• III. INVERSE ESTIMATION: This chapter focuses on the core of the research, presenting two methods for inverse estimation: Kalman filtering and its adaptive state estimation variant.
• IV. RESULTS: This chapter presents the results obtained from the application of the inverse estimation methods, showcasing the effectiveness of the proposed solutions.

Schlüsselwörter (Keywords)

The research focuses on inverse problems, heat flux, temperature distribution, 3D finite domain, Kalman filtering, adaptive state estimation, finite difference methods, sensitivity analysis.