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 propertiesincluding consistency, convergence, stability, and adaptivityto help you choose the method that is best suited for your needs.Get Guidance for Developing and Testing Meshless MethodsDeveloping 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 MethodsThe book examines how meshless methods can be used to solve complex engineering problems with lower computational cost, higher accuracy, easier construction of higherorder shape functions, and easier handling of large deformation and nonlinear...

Binding: Paperback;448 pages; Publisher: Taylor & Francis Ltd (Sales); Classification: PB; Weight: 573 g; Dimensions: 234 x 156

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