Finite Element Analysis of Acoustic Scattering

Finite Element Analysis of Acoustic Scattering
Author: Frank Ihlenburg
Publisher: Springer Science & Business Media
Total Pages: 238
Release: 2006-03-29
Genre: Mathematics
ISBN: 0387227008

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A cognitive journey towards the reliable simulation of scattering problems using finite element methods, with the pre-asymptotic analysis of Galerkin FEM for the Helmholtz equation with moderate and large wave number forming the core of this book. Starting from the basic physical assumptions, the author methodically develops both the strong and weak forms of the governing equations, while the main chapter on finite element analysis is preceded by a systematic treatment of Galerkin methods for indefinite sesquilinear forms. In the final chapter, three dimensional computational simulations are presented and compared with experimental data. The author also includes broad reference material on numerical methods for the Helmholtz equation in unbounded domains, including Dirichlet-to-Neumann methods, absorbing boundary conditions, infinite elements and the perfectly matched layer. A self-contained and easily readable work.

Finite Element and Boundary Methods in Structural Acoustics and Vibration

Finite Element and Boundary Methods in Structural Acoustics and Vibration
Author: Noureddine Atalla
Publisher: CRC Press
Total Pages: 466
Release: 2015-04-17
Genre: Technology & Engineering
ISBN: 1466592885

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Effectively Construct Integral Formulations Suitable for Numerical ImplementationFinite Element and Boundary Methods in Structural Acoustics and Vibration provides a unique and in-depth presentation of the finite element method (FEM) and the boundary element method (BEM) in structural acoustics and vibrations. It illustrates the principles using a

The Wave Finite Element Method

The Wave Finite Element Method
Author: Boris F. Shorr
Publisher: Springer Science & Business Media
Total Pages: 358
Release: 2012-12-06
Genre: Science
ISBN: 354044579X

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Computational mechanics, as a science employed for the numerical model ing of processes in nature and engineering, has over the last few decades developed two strands. The first concerns the putting of more and more powerful software packages into computational practice, using increas ingly high-performance computers with increasingly large memory. The traditional finite element and finite difference approaches are still preva lent. Over the years however, researchers have met with new problems; their solutions on the basis of traditional methods are at best difficult and at worst impossible to obtain. Such problems provided a powerful impetus in the development of the second strand, resulting in the development of es sentially new approaches for numerical modeling, for example meshless methods, "molecular" dynamics, neuron networks. The current state of the art formed the basis of many papers presented at the Fifth World Congress on Computational Mechanics, Vienna 2002. It is within the framework of the second strand that this book has been written.

The Scaled Boundary Finite Element Method

The Scaled Boundary Finite Element Method
Author: Chongmin Song
Publisher: John Wiley & Sons
Total Pages: 775
Release: 2018-06-19
Genre: Science
ISBN: 1119388457

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An informative look at the theory, computer implementation, and application of the scaled boundary finite element method This reliable resource, complete with MATLAB, is an easy-to-understand introduction to the fundamental principles of the scaled boundary finite element method. It establishes the theory of the scaled boundary finite element method systematically as a general numerical procedure, providing the reader with a sound knowledge to expand the applications of this method to a broader scope. The book also presents the applications of the scaled boundary finite element to illustrate its salient features and potentials. The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation covers the static and dynamic stress analysis of solids in two and three dimensions. The relevant concepts, theory and modelling issues of the scaled boundary finite element method are discussed and the unique features of the method are highlighted. The applications in computational fracture mechanics are detailed with numerical examples. A unified mesh generation procedure based on quadtree/octree algorithm is described. It also presents examples of fully automatic stress analysis of geometric models in NURBS, STL and digital images. Written in lucid and easy to understand language by the co-inventor of the scaled boundary element method Provides MATLAB as an integral part of the book with the code cross-referenced in the text and the use of the code illustrated by examples Presents new developments in the scaled boundary finite element method with illustrative examples so that readers can appreciate the significant features and potentials of this novel method—especially in emerging technologies such as 3D printing, virtual reality, and digital image-based analysis The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation is an ideal book for researchers, software developers, numerical analysts, and postgraduate students in many fields of engineering and science.

Spectral Finite Element Method

Spectral Finite Element Method
Author: Srinivasan Gopalakrishnan
Publisher: Springer
Total Pages: 0
Release: 2010-10-21
Genre: Technology & Engineering
ISBN: 9781849965873

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This book is the first to apply the Spectral Finite Element Method (SFEM) to inhomogeneous and anisotropic structures in a unified and systematic manner. Readers will gain understanding of how to formulate Spectral Finite Element; learn about wave behaviour in inhomogeneous and anisotropic media; and, be able to design some diagnostic tools for monitoring the health of a structure. Tables, figures and graphs support the theory and case studies are included.

Finite Elements for Wave Electromagnetics

Finite Elements for Wave Electromagnetics
Author: IEEE Antennas and Propagation Society
Publisher: Institute of Electrical & Electronics Engineers(IEEE)
Total Pages: 560
Release: 1994
Genre: Mathematics
ISBN:

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