Study of Superconvergence by a Computer-Based Approach: Superconvergence of the Gradient of the Displacement, The Strain and Stress in Finite Element Solutions for Plane Elasticity PDF Download
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Author: Publisher: ISBN: Category : Languages : en Pages : 91
Book Description
In 1 we addressed the problem of existence of superconvergence points by a computer-based proof and we gave a detailed study of the superconvergence points for the components of the gradient in finite element solutions for Laplace's and Poisson's equations. Here we employ the same approach to study the superconvergence for the gradient of the displacement, the strain and the stress for finite element solutions of the equations of plane elasticity. We give the superconvergence points for the components of the gradient of the displacement, the strain and stress for meshes of triangles and squares of degree p, 1
Author: Publisher: ISBN: Category : Languages : en Pages : 91
Book Description
In 1 we addressed the problem of existence of superconvergence points by a computer-based proof and we gave a detailed study of the superconvergence points for the components of the gradient in finite element solutions for Laplace's and Poisson's equations. Here we employ the same approach to study the superconvergence for the gradient of the displacement, the strain and the stress for finite element solutions of the equations of plane elasticity. We give the superconvergence points for the components of the gradient of the displacement, the strain and stress for meshes of triangles and squares of degree p, 1
Author: Zhongci Shi Publisher: American Mathematical Soc. ISBN: 0821836625 Category : Computers Languages : en Pages : 394
Book Description
There has been rapid development in the area of adaptive computation over the past decade. The International Conference on Recent Advances in Adaptive Computation was held at Zhejiang University (Hangzhou, China) to explore these new directions. The conference brought together specialists to discuss modern theories and practical applications of adaptive methods. This volume contains articles reflecting the invited talks given by leading mathematicians at the conference. It is suitable for graduate students and researchers interested in methods of computation.
Author: Michel Krizek Publisher: Routledge ISBN: 1351448609 Category : Mathematics Languages : en Pages : 370
Book Description
""Based on the proceedings of the first conference on superconvergence held recently at the University of Jyvaskyla, Finland. Presents reviewed papers focusing on superconvergence phenomena in the finite element method. Surveys for the first time all known superconvergence techniques, including their proofs.
Author: Ivo Babuška Publisher: Oxford University Press ISBN: 9780198502760 Category : Mathematics Languages : en Pages : 820
Book Description
The finite element method is a numerical method widely used in engineering. Experience shows that unreliable computation can lead to very serious consequences. Hence reliability questions stand are at the forefront of engineering and theoretical interests. This book presents the mathematical theory of the finite element method and is the first to focus on the questions of how reliable computed results really are. It addresses among other topics the local behaviour, errors caused by pollution, superconvergence, and optimal meshes. Many computational examples illustrate the importance of the theoretical conclusions for practical computations. Graduate students, lecturers, and researchers in mathematics, engineering, and scientific computation will benefit from the clear structure of the book, and will find this a very useful reference.
Author: Tony F. Chan Publisher: Springer Science & Business Media ISBN: 146150113X Category : Mathematics Languages : en Pages : 433
Book Description
The book discusses some key scientific and technological developments in computational and applied partial differential equations. It covers many areas of scientific computing, including multigrid methods, image processing, finite element analysis and adaptive computations. It also covers software technology, algorithms and applications. Most papers are of research level, and are contributed by some well-known mathematicians and computer scientists. The book will be useful to engineers, computational scientists and graduate students.
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Author: Zhongci Shi
Author: Michel Krizek
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Author: Ivo Babuška
Author: Tony F. Chan