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- catalog abstract "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.".
- catalog contributor b10833889.
- catalog created "1998.".
- catalog date "1998".
- catalog date "1998.".
- catalog dateCopyrighted "1998.".
- catalog description "Includes index.".
- catalog description "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.".
- catalog description "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.".
- catalog extent "x, 224 p. :".
- catalog identifier "0387983198 (alk. paper)".
- catalog isPartOf "Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 132.".
- catalog isPartOf "Applied mathematical sciences ; 132".
- catalog issued "1998".
- catalog issued "1998.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "510 s 531/.1133/01515353 21".
- catalog subject "Boundary value problems Numerical solutions.".
- catalog subject "Finite element method.".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Helmholtz equation Numerical solutions.".
- catalog subject "Mathematics.".
- catalog subject "Numerical analysis.".
- catalog subject "QA1 .A647 vol. 132 QC174.26.W28".
- catalog subject "Scattering (Physics) Mathematical models.".
- catalog subject "Wave equation.".
- catalog tableOfContents "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.".
- catalog title "Finite element analysis of acoustic scattering / Frank Ihlenburg.".
- catalog type "text".