Applied Mathematical Sciences

By: Frank Ihlenburg

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Hardcover | 13 August 1998

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Hardcover
244 Pages

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23.39 x 15.6 x 1.42

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This book is a report of a cognitive journey towards the reliable simulation of scattering problems using finite element methods. The pre-asymptotic analysis of Galerkin FEM for the Helmholtz equation with moderate and large wave number forms the core of the book. The topics include a priori and a posteriori error estimation as well as the stabilized methods. The mathematical investigation of model problems is given in close connection with the physical problem of acoustic scattering and fluid-solid interaction. Starting from the basic physical assumptions, the author methodically develops both the strong and weak forms of the governing equations. The main chapter on finite element analysis is preceded by a systematic treatment of Galerkin methods for indefinite sesquilinear forms. The book also contains 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. In the final chapter, three dimensional computational simulations are presented and compared with experimental data. Students and researchers in mathematics, physics and engineering, as well as scientists and computational engineers working on scattering problems will find this book of interest. The author has produced a self-contained and easily readable work containing numerous illustrations of the theory with numerical examples and computational results.

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You Can Find This Book In

Non-Fiction Science Physics Nuclear Physics Classical Mathematics Wave Mechanics including Vibration & Acoustics Mathematics Calculus & Mathematical Analysis Differential Calculus & Equations Numerical Analysis Applied Mathematics Engineering & Technology

Technology in General Engineering in General Computing & I.T.Computer Science Mathematical Theory of Computation Maths for Computer Scientists Artificial Intelligence

The governing equations of time-harmonic wave propagation
Analytical and variational solutions of exterior Helmholtz problems
Discretization methods for exterior Helmholtz problems
Finite element error analysis and control
Computational Simulation of Elastic Scattering
Table of Contents provided by Publisher. All Rights Reserved.

Applied Mathematical Sciences

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Hardcover

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How to return your order

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