A Numerical Solution for Plate Bending Problems
Author : D. S. Griffin
Publisher :
Page : 58 pages
File Size : 21,32 MB
Release : 1963
Category : Elastic plates and shells
ISBN :
The Boundary Element Method for Plate Analysis
Author : John T. Katsikadelis
Publisher : Elsevier
Page : 345 pages
File Size : 13,44 MB
Release : 2014-07-16
Category : Mathematics
ISBN : 0124167446
Book Description
Boundary Element Method for Plate Analysis offers one of the first systematic and detailed treatments of the application of BEM to plate analysis and design. Aiming to fill in the knowledge gaps left by contributed volumes on the topic and increase the accessibility of the extensive journal literature covering BEM applied to plates, author John T. Katsikadelis draws heavily on his pioneering work in the field to provide a complete introduction to theory and application. Beginning with a chapter of preliminary mathematical background to make the book a self-contained resource, Katsikadelis moves on to cover the application of BEM to basic thin plate problems and more advanced problems. Each chapter contains several examples described in detail and closes with problems to solve. Presenting the BEM as an efficient computational method for practical plate analysis and design, Boundary Element Method for Plate Analysis is a valuable reference for researchers, students and engineers working with BEM and plate challenges within mechanical, civil, aerospace and marine engineering. - One of the first resources dedicated to boundary element analysis of plates, offering a systematic and accessible introductory to theory and application - Authored by a leading figure in the field whose pioneering work has led to the development of BEM as an efficient computational method for practical plate analysis and design - Includes mathematical background, examples and problems in one self-contained resource
A Numerical Solution for Plane Elasticity Problems
Author : D. S. Griffin
Publisher :
Page : 52 pages
File Size : 21,3 MB
Release : 1962
Category : Elasticity
ISBN :
Book Description
Mixed and Hybrid Finite Element Methods
Author : Franco Brezzi
Publisher : Springer Science & Business Media
Page : 361 pages
File Size : 37,47 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461231728
Book Description
Research on non-standard finite element methods is evolving rapidly and in this text Brezzi and Fortin give a general framework in which the development is taking place. The presentation is built around a few classic examples: Dirichlet's problem, Stokes problem, Linear elasticity. The authors provide with this publication an analysis of the methods in order to understand their properties as thoroughly as possible.
The Mathematical Theory of Finite Element Methods
Author : Susanne Brenner
Publisher : Springer Science & Business Media
Page : 369 pages
File Size : 34,66 MB
Release : 2013-03-14
Category : Mathematics
ISBN : 1475736584
Book Description
A rigorous and thorough mathematical introduction to the subject; A clear and concise treatment of modern fast solution techniques such as multigrid and domain decomposition algorithms; Second edition contains two new chapters, as well as many new exercises; Previous edition sold over 3000 copies worldwide
Theories and Applications of Plate Analysis
Author : Rudolph Szilard
Publisher : John Wiley & Sons
Page : 1062 pages
File Size : 31,31 MB
Release : 2004-01-02
Category : Technology & Engineering
ISBN : 9780471429890
Book Description
This book by a renowned structural engineer offers comprehensive coverage of both static and dynamic analysis of plate behavior, including classical, numerical, and engineering solutions. It contains more than 100 worked examples showing step by step how the various types of analysis are performed.
Numerical Methods for Partial Differential Equations
Author : William F. Ames
Publisher : Academic Press
Page : 380 pages
File Size : 29,71 MB
Release : 2014-05-10
Category : Mathematics
ISBN : 1483262421
Book Description
Numerical Methods for Partial Differential Equations, Second Edition deals with the use of numerical methods to solve partial differential equations. In addition to numerical fluid mechanics, hopscotch and other explicit-implicit methods are also considered, along with Monte Carlo techniques, lines, fast Fourier transform, and fractional steps methods. Comprised of six chapters, this volume begins with an introduction to numerical calculation, paying particular attention to the classification of equations and physical problems, asymptotics, discrete methods, and dimensionless forms. Subsequent chapters focus on parabolic and hyperbolic equations, elliptic equations, and special topics ranging from singularities and shocks to Navier-Stokes equations and Monte Carlo methods. The final chapter discuss the general concepts of weighted residuals, with emphasis on orthogonal collocation and the Bubnov-Galerkin method. The latter procedure is used to introduce finite elements. This book should be a valuable resource for students and practitioners in the fields of computer science and applied mathematics.
Theory of Plates
Author : K. Chandrashekhara
Publisher : Universities Press
Page : 432 pages
File Size : 13,30 MB
Release : 2001
Category : Plates (Engineering)
ISBN : 9788173712531
Book Description
Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications
Author : Oleg P. Iliev
Publisher : Springer Science & Business Media
Page : 334 pages
File Size : 15,83 MB
Release : 2013-06-04
Category : Mathematics
ISBN : 1461471729
Book Description
One of the current main challenges in the area of scientific computing​ is the design and implementation of accurate numerical models for complex physical systems which are described by time dependent coupled systems of nonlinear PDEs. This volume integrates the works of experts in computational mathematics and its applications, with a focus on modern algorithms which are at the heart of accurate modeling: adaptive finite element methods, conservative finite difference methods and finite volume methods, and multilevel solution techniques. Fundamental theoretical results are revisited in survey articles and new techniques in numerical analysis are introduced. Applications showcasing the efficiency, reliability and robustness of the algorithms in porous media, structural mechanics and electromagnetism are presented. Researchers and graduate students in numerical analysis and numerical solutions of PDEs and their scientific computing applications will find this book useful.
Wavelet Numerical Method and Its Applications in Nonlinear Problems
Author : You-He Zhou
Publisher : Springer Nature
Page : 478 pages
File Size : 30,46 MB
Release : 2021-03-09
Category : Technology & Engineering
ISBN : 9813366435
Book Description
This book summarizes the basic theory of wavelets and some related algorithms in an easy-to-understand language from the perspective of an engineer rather than a mathematician. In this book, the wavelet solution schemes are systematically established and introduced for solving general linear and nonlinear initial boundary value problems in engineering, including the technique of boundary extension in approximating interval-bounded functions, the calculation method for various connection coefficients, the single-point Gaussian integration method in calculating the coefficients of wavelet expansions and unique treatments on nonlinear terms in differential equations. At the same time, this book is supplemented by a large number of numerical examples to specifically explain procedures and characteristics of the method, as well as detailed treatments for specific problems. Different from most of the current monographs focusing on the basic theory of wavelets, it focuses on the use of wavelet-based numerical methods developed by the author over the years. Even for the necessary basic theory of wavelet in engineering applications, this book is based on the author’s own understanding in plain language, instead of a relatively difficult professional mathematical description. This book is very suitable for students, researchers and technical personnel who only want to need the minimal knowledge of wavelet method to solve specific problems in engineering.
