Meshless Methods and Their Numerical Properties

Meshless Methods and Their Numerical Properties PDF Author: Hua Li
Publisher: CRC Press
ISBN: 1466517468
Category : Mathematics
Languages : en
Pages : 451

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Book Description
Meshless, or meshfree methods, which overcome many of the limitations of the finite element method, have achieved significant progress in numerical computations of a wide range of engineering problems. A comprehensive introduction to meshless methods, Meshless Methods and Their Numerical Properties gives complete mathematical formulations for the most important and classical methods, as well as several methods recently developed by the authors. This book also offers a rigorous mathematical treatment of their numerical properties—including consistency, convergence, stability, and adaptivity—to help you choose the method that is best suited for your needs. Get Guidance for Developing and Testing Meshless Methods Developing a broad framework to study the numerical computational characteristics of meshless methods, the book presents consistency, convergence, stability, and adaptive analyses to offer guidance for developing and testing a particular meshless method. The authors demonstrate the numerical properties by solving several differential equations, which offer a clearer understanding of the concepts. They also explain the difference between the finite element and meshless methods. Explore Engineering Applications of Meshless Methods The book examines how meshless methods can be used to solve complex engineering problems with lower computational cost, higher accuracy, easier construction of higher-order shape functions, and easier handling of large deformation and nonlinear problems. The numerical examples include engineering problems such as the CAD design of MEMS devices, nonlinear fluid-structure analysis of near-bed submarine pipelines, and two-dimensional multiphysics simulation of pH-sensitive hydrogels. Appendices supply useful template functions, flowcharts, and data structures to assist you in implementing meshless methods. Choose the Best Method for a Particular Problem Providing insight into the special features and intricacies of meshless methods, this is a valuable reference for anyone developing new high-performance numerical methods or working on the modelling and simulation of practical engineering problems. It guides you in comparing and verifying meshless methods so that you can more confidently select the best method to solve a particular problem.

Meshless Methods and Their Numerical Properties

Meshless Methods and Their Numerical Properties PDF Author: Hua Li
Publisher: CRC Press
ISBN: 1466517468
Category : Mathematics
Languages : en
Pages : 451

Get Book Here

Book Description
Meshless, or meshfree methods, which overcome many of the limitations of the finite element method, have achieved significant progress in numerical computations of a wide range of engineering problems. A comprehensive introduction to meshless methods, Meshless Methods and Their Numerical Properties gives complete mathematical formulations for the most important and classical methods, as well as several methods recently developed by the authors. This book also offers a rigorous mathematical treatment of their numerical properties—including consistency, convergence, stability, and adaptivity—to help you choose the method that is best suited for your needs. Get Guidance for Developing and Testing Meshless Methods Developing a broad framework to study the numerical computational characteristics of meshless methods, the book presents consistency, convergence, stability, and adaptive analyses to offer guidance for developing and testing a particular meshless method. The authors demonstrate the numerical properties by solving several differential equations, which offer a clearer understanding of the concepts. They also explain the difference between the finite element and meshless methods. Explore Engineering Applications of Meshless Methods The book examines how meshless methods can be used to solve complex engineering problems with lower computational cost, higher accuracy, easier construction of higher-order shape functions, and easier handling of large deformation and nonlinear problems. The numerical examples include engineering problems such as the CAD design of MEMS devices, nonlinear fluid-structure analysis of near-bed submarine pipelines, and two-dimensional multiphysics simulation of pH-sensitive hydrogels. Appendices supply useful template functions, flowcharts, and data structures to assist you in implementing meshless methods. Choose the Best Method for a Particular Problem Providing insight into the special features and intricacies of meshless methods, this is a valuable reference for anyone developing new high-performance numerical methods or working on the modelling and simulation of practical engineering problems. It guides you in comparing and verifying meshless methods so that you can more confidently select the best method to solve a particular problem.

Data Analysis in Cosmology

Data Analysis in Cosmology PDF Author: Vicent J. Martinez
Publisher: Springer Science & Business Media
ISBN: 3540239723
Category : Science
Languages : en
Pages : 636

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Book Description
The amount of cosmological data has dramatically increased in the past decades due to an unprecedented development of telescopes, detectors and satellites. Efficiently handling and analysing new data of the order of terabytes per day requires not only computer power to be processed but also the development of sophisticated algorithms and pipelines. Aiming at students and researchers the lecture notes in this volume explain in pedagogical manner the best techniques used to extract information from cosmological data, as well as reliable methods that should help us improve our view of the universe.

Meshless Methods in Biomechanics

Meshless Methods in Biomechanics PDF Author: Jorge Belinha
Publisher: Springer
ISBN: 3319064002
Category : Technology & Engineering
Languages : en
Pages : 328

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Book Description
This book presents the complete formulation of a new advanced discretization meshless technique: the Natural Neighbour Radial Point Interpolation Method (NNRPIM). In addition, two of the most popular meshless methods, the EFGM and the RPIM, are fully presented. Being a truly meshless method, the major advantages of the NNRPIM over the FEM and other meshless methods, are the remeshing flexibility and the higher accuracy of the obtained variable field. Using the natural neighbour concept, the NNRPIM permits to determine organically the influence-domain, resembling the cellulae natural behaviour. This innovation permits the analysis of convex boundaries and extremely irregular meshes, which is an advantage in the biomechanical analysis, with no extra computational effort associated. This volume shows how to extend the NNRPIM to the bone tissue remodelling analysis, expecting to contribute with new numerical tools and strategies in order to permit a more efficient numerical biomechanical analysis.

Biodental Engineering IV

Biodental Engineering IV PDF Author: R.M. Natal Jorge
Publisher: CRC Press
ISBN: 1351675516
Category : Medical
Languages : en
Pages : 154

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Book Description
Since dentistry is a branch of medicine with its own peculiarities and very diverse areas of action, it can be considered as an interdisciplinary field. BIODENTAL ENGINEERING IV contains the full papers presented at the 4th International Conference on Biodental Engineering (BIODENTAL 2016, Vila Nova de Famalicão, Portugal, 21—23 June 2016), and covers the use of new techniques and technologies in dentistry. The contributions provide a comprehensive coverage of the state-of-the art in this area, and addresses the following topics: • Aesthetics • Bioengineering • Biomaterials • Biomechanical disorders • Biomedical devices • Computational bio- imaging and visualization • Computational methods • Dental medicine • Experimental mechanics • Signal processing and analysis • Implantology • Minimally invasive devices and techniques • Orthodontics • Prosthesis and orthosis • Simulation • Software development • Telemedicine • Tissue engineering • Virtual reality BIODENTAL ENGINEERING IV will be of interest to academics and professionals involved or interested in dentistry, biomechanical disorders, numerical simulation, orthodontics, implantology, aesthetics, dental medicine, medical devices and medical imaging.

Numerical Methods and Advanced Simulation in Biomechanics and Biological Processes

Numerical Methods and Advanced Simulation in Biomechanics and Biological Processes PDF Author: Miguel Cerrolaza
Publisher: Academic Press
ISBN: 0128117192
Category : Technology & Engineering
Languages : en
Pages : 462

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Book Description
Numerical Methods and Advanced Simulation in Biomechanics and Biological Processes covers new and exciting modeling methods to help bioengineers tackle problems for which the Finite Element Method is not appropriate. The book covers a wide range of important subjects in the field of numerical methods applied to biomechanics, including bone biomechanics, tissue and cell mechanics, 3D printing, computer assisted surgery and fluid dynamics. Modeling strategies, technology and approaches are continuously evolving as the knowledge of biological processes increases. Both theory and applications are covered, making this an ideal book for researchers, students and R&D professionals. - Provides non-conventional analysis methods for modeling - Covers the Discrete Element Method (DEM), Particle Methods (PM), MessLess and MeshFree Methods (MLMF), Agent-Based Methods (ABM), Lattice-Boltzmann Methods (LBM) and Boundary Integral Methods (BIM) - Includes contributions from several world renowned experts in their fields - Compares pros and cons of each method to help you decide which method is most applicable to solving specific problems

Innovations in Bio-Inspired Computing and Applications

Innovations in Bio-Inspired Computing and Applications PDF Author: Ajith Abraham
Publisher: Springer Nature
ISBN: 3031274997
Category : Technology & Engineering
Languages : en
Pages : 951

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Book Description
This book highlights recent research on bio-inspired computing and its various innovative applications in information and communication technologies. It presents 85 high-quality papers from the 13th International Conference on Innovations in Bio-Inspired Computing and Applications (IBICA 2022) and 12th World Congress on Information and Communication Technologies (WICT 2022), which was held online during 15–17 December 2022. As a premier conference, IBICA–WICT brings together researchers, engineers and practitioners whose work involves bio-inspired computing, computational intelligence and their applications in information security, real-world contexts, etc. Including contributions by authors from 25 countries, the book offers a valuable reference guide for all researchers, students and practitioners in the fields of Computer Science and Engineering.

Local Models for Spatial Analysis

Local Models for Spatial Analysis PDF Author: Christopher D. Lloyd
Publisher: CRC Press
ISBN: 1439829233
Category : Mathematics
Languages : en
Pages : 354

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Book Description
Focusing on solutions, this second edition provides guidance for readers who face a variety of real-world problems. The text presents a complete introduction to key concepts and a clear mapping of the methods. New chapters address spatial patterning in single variables and spatial relations. The author distinguishes between local and global methods and provides detailed coverage of geographical weighting, image texture measures, local spatial autocorrelation, and geographically weighted regression.

Advances in Meshfree Techniques

Advances in Meshfree Techniques PDF Author: V.M.A. Leitao
Publisher: Springer Science & Business Media
ISBN: 1402060955
Category : Technology & Engineering
Languages : en
Pages : 315

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Book Description
The book collects extended original contributions presented at the first ECCOMAS Conference on Meshless Methods held in 2005 in Lisbon. The list of contributors is a mix of highly distinguished authors as well as promising young researchers. This means that the reader gets a varied and contemporary view on different mesh reduction methods and its range of applications. The material presented is appropriate for researchers, engineers, physicists, applied mathematicians and graduate students interested in this active research area.

Developments in Spatial Data Handling

Developments in Spatial Data Handling PDF Author: Peter F. Fisher
Publisher: Springer Science & Business Media
ISBN: 3540267727
Category : Science
Languages : en
Pages : 676

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Book Description
The International Symposium on Spatial Data Handling is the premier research forum for Geographic Information Science. The Symposium is particularly strong in respect to identifying significant new developments in this field. The papers published in this volume are carefully refereed by an international programme committee composed of experts in various areas of GIS who are especially renowned for their scientific innovation.

Arthashastra of Kautilya

Arthashastra of Kautilya PDF Author: Dr. Suresh R
Publisher: Vij Books India Pvt Ltd
ISBN: 9390439299
Category : Political Science
Languages : en
Pages : 345

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Book Description
It is true that in the study of Political Science, International Relations, Public Administration, and other related discipline Arthashastra is yet to receive due recognition in India and abroad. In this context, the Indian Institute of Advanced Study (IIAS) Shimla had hosted a two-day National Seminar on 'Reflections on the Relevance of Arthashastra in the 21st Century' This volume is the collection of selected papers presented at the national seminar. The relevance of Arthashastra in the contemporary world has been well explored in the seventeen articles categorized in three sections. The first part deals with the relevance of Arthashastra in the present century. The second section of the book deals with foreign and security policy, strategic culture as portrayed in Arthashastra. The third section of the book deals with Human Rights, Women's Status, Good Governance, Tax, and Treasury as reflected in Kautilya's Arthashastra.