Society for Industrial and Applied Mathematics eBooks· 2013· Book chapter
The Method of Weighted Residuals and Variational Principles
- 1,936citations
- 2013year
Short summary
This book presents a comprehensive overview of the Method of Weighted Residuals (MWR) and Variational Principles, detailing their applications across various engineering fields.
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Key points
- The book is divided into two main parts: The Method of Weighted Residuals and Variational Principles.
- Part I covers MWR applications in heat and mass transfer, fluid mechanics, chemical reactions, and convective instability.
- Part II delves into the theory and application of Variational Principles in fluid mechanics and heat/mass transfer.
- The text includes sections on finding new variational principles and understanding convergence and error bounds.
AI-generated from the title and abstract; the full text is not read.
Abstract
Preface to the classics edition Preface Acknowledgments Part I. The Method of Weighted Residuals: 1. Introduction 2. Boundary-value problems in heat and mass transfer 3. Eigenvalue and initial-value problems in heat and mass transfer 4. Applications to fluid mechanics 5. Chemical reaction systems 6. Convective instability problems Part II. Variational Principles: 7. Introduction to variational principles 8. Variational principles in fluid mechanics 9. Variational principles for heat and mass transfer problems 10. On the search for variational principles 11. Convergence and error bounds Author index Subject index.
The authors' abstract, as published at the source. Society for Industrial and Applied Mathematics eBooks, 2013 · DOI ↗
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Field: Computational Mechanics
Computational MechanicsEngineering