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An Introduction to Meshless Methods with Applications in Engineering

Autor T. I. Eldho, Sanjukta Das, Aatish Anshuman
en Limba Engleză Hardback – 27 noi 2026
This textbook provides a structured introduction to meshless methods, with a particular emphasis on engineering applications. It covers the fundamentals of numerical modelling, including strong, weak, and hybrid formulations, and presents detailed approaches for solving partial differential equations (PDEs) using three different meshless methods. Readers will gain practical insights through MATLAB codes that can be adapted to a wide range of engineering problems, including groundwater flow and contaminant transport.
Key Features
  • Offers simplified yet effective explanations that enable readers to develop meshless models with a limited mathematical background.
  • Includes step-by-step formulations and MATLAB codes for solving elliptic, parabolic, and hyperbolic PDEs using three meshless methods representing the strong, weak, and hybrid formulation categories.
  • Summarizes the challenges encountered in three-dimensional (3D) simulations and demonstrates how meshless methods can help overcome these challenges.
  • Highlights state-of-the-art developments and identifies potential research opportunities in the field of meshless methods.
  • Contains numerous examples from various disciplines, including worked examples and accompanying codes.
The simplified mathematical frameworks enhance accessibility, making this textbook ideal for senior undergraduate and postgraduate students in civil and mechanical engineering, as well as practicing engineers seeking practical guidance on meshless modelling techniques.
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Specificații

ISBN-13: 9781041235804
ISBN-10: 1041235801
Pagini: 432
Ilustrații: 180
Dimensiuni: 178 x 254 mm
Ediția:1
Editura: CRC Press
Colecția CRC Press

Public țintă

Academic, Postgraduate, and Undergraduate Advanced

Cuprins

1. Mathematical Modelling and Simulation  2. Fundamentals of Numerical Modelling 3. Meshless Methods: An Overview 4. Approximation Techniques in Meshless Methods 5. Weak, Strong and Hybrid Forms of Meshless Methods 6. Meshless Formulation for Partial Differential Equations 7. Modelling Using Meshless Methods 8. Model Development and Applications 9. Three-Dimensional Meshless Modelling 10.Meshless Methods - Future Perspectives             

Notă biografică

T.I Eldho is a Professor (HAG) & Former Head and Chair of the Department of Civil Engineering, IIT Bombay. He has more than 30 years of experience in the areas of water resources and environmental engineering as a Scientist, Professor and Consultant. He works in the areas of Fluid Mechanics, Turbulence, Hydraulics, Coastal Hydrodynamics, Climate Change Impact on Water Resources, CFD, Groundwater Flow, and Contaminant transport. He got his PhD from IIT Bombay in 1995 and worked as a Postdoctoral Fellow at the Institute for Hydromechanics, University of Karlsruhe (currently Karlsruhe Institute of Technology), Germany, from 1996 to 1998. During 1998-1999, he worked as a Water Resources Modeller and Consultant at Mott MacDonald Company, Cambridge UK. Later Dr. Eldho worked as a Senior Research Fellow at Hydrotech Research Institute, National Taiwan University, Taipei, during 1999 – 2000. In 2000, He returned to India and joined the Department of Civil Engineering, IIT Kharagpur as a Faculty. Further Dr. Eldho joined IIT Bombay as a faculty member in 2001 and continued his teaching, research, and professional career. He has developed the Hydraulics Laboratory of IIT Bombay with many sophisticated equipment and facilities. He has published more than 265 research papers in reputed International and National Journals and more than 450 papers in various International and National Conferences. He serves as an Editor/ Associate Editor and Editorial Board Member of a number of Indian and International Journals and has worked as a reviewer for more than 70 national and international Journals in the recent past. He is also a research proposal reviewer for many research organisations and has delivered several invited/ keynote lectures at various national and international organisations and conferences. He has co-authored two popular textbooks: “Finite Element Method with Applications in Engineering”, “Introduction to Advanced Fluid Dynamics and Fluvial Process”, one edited book “Hydro-Environmental Impact of Climate and Land Use Change on Watersheds for Sustainable Development” and contributed 36 book chapters in various edited books. He has worked as a Consultant for many State and Central Government organizations, Municipal corporations and Companies in India and abroad in the areas of hydraulics, fluid mechanics, flood studies, sump model studies, hydraulic designs etc. and completed more than 150 consultancy projects and more than 15 sponsored projects with agencies such as ISRO, DST, and various Ministries of State and Central Governments. He is a recipient of many prestigious awards, including Eminent Water Resources Scientist, constituted by the Indian Water Resources Society in 2018. In recognition of his research contributions, Prof. Eldho was listed among the World's Top 2% Researchers in the field of Engineering for 2023 by Scopus.
Sanjukta Das is currently working as a Research Associate at Flinders University. During the development of this book, she was a Postdoctoral Scientist in the Department of Civil Engineering, Indian Institute of Technology (IIT) Bombay. She holds a B.Tech. in Civil Engineering from Andhra University, where she graduated with a Gold Medal. She subsequently earned both her M.Tech. and Ph.D. from IIT Bombay and was awarded the prestigious Prime Minister’s Research Fellowship for her doctoral studies. Dr. Das’s research focuses on numerical modeling, groundwater flow, transport, reactive transport simulation and remediation technologies. She has specialized proficiency in various types of meshless methods and their applications in water resources engineering. She published eleven journal papers and presented her work at over 10 national and international conferences. Her academic excellence has been recognized through several honours, including the Naik and Rastogi Award for excellence in PhD research, ISH G.M. Nawathe Puraskar 2024- Analytical Category, Late Prof. Subrahmonia Ayyar Academic Excellence Award and Pratibha Award from the Government of Andhra Pradesh.
Aatish Anshuman is an Assistant Professor in the Department of Civil Engineering at the Indian Institute of Technology (IIT) Bhubaneswar, India. He earned his B.Tech. in Civil Engineering from Veer Surendra Sai University of Technology (VSSUT), Burla, and completed both his M.Tech. and Ph.D. at the Indian Institute of Technology Bombay. He was honored with the Naik and Rastogi Excellence in Ph.D. Research Award for his outstanding doctoral work. Dr. Anshuman has nearly 2 years of PostDoc experience at IIT Bombay and the University of Alabama. He also has nearly 2 years of teaching experience at IIT Bhubaneswar. His current research focuses on surface water–groundwater interactions, surface–subsurface flux dynamics, and unsaturated zone processes. He actively develops and applies numerical models and machine learning techniques to study complex hydrological flow and transport mechanisms. He has authored 13 peer-reviewed journal publications and continues to contribute significantly to the field of hydrogeology and hydrologic modeling.
 

Descriere

This textbook provides a structured introduction to meshless methods, with a particular emphasis on engineering applications. It covers the fundamentals of numerical modelling, including strong, weak, and hybrid formulations, and presents detailed approaches for solving partial differential equations using three different meshless methods.