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Finite Element Analysis Of Seismic Scattering Problems
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Book Synopsis Finite Element Analysis of Seismic Scattering Problems by : Steven Milton Day
Download or read book Finite Element Analysis of Seismic Scattering Problems written by Steven Milton Day and published by . This book was released on 1977 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Finite Element Analysis of Acoustic Scattering by : Frank Ihlenburg
Download or read book Finite Element Analysis of Acoustic Scattering written by Frank Ihlenburg and published by Springer Science & Business Media. This book was released on 2006-03-29 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Scaled Boundary Finite Element Method by : Chongmin Song
Download or read book The Scaled Boundary Finite Element Method written by Chongmin Song and published by John Wiley & Sons. This book was released on 2018-06-19 with total page 775 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Asymptotic and Absorbing Boundary Conditions for Finite Element Analysis of Digital Circuit and Scattering Problems by : Ahmed Khebir
Download or read book Asymptotic and Absorbing Boundary Conditions for Finite Element Analysis of Digital Circuit and Scattering Problems written by Ahmed Khebir and published by . This book was released on 1990 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Finite Element Analysis of Wave Propagation and Scattering with Applications to Acouistic Fluid-structure Interaction by : Frank Ihlenburg
Download or read book Finite Element Analysis of Wave Propagation and Scattering with Applications to Acouistic Fluid-structure Interaction written by Frank Ihlenburg and published by . This book was released on 1997 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Finite Element and Boundary Methods in Structural Acoustics and Vibration by : Noureddine Atalla
Download or read book Finite Element and Boundary Methods in Structural Acoustics and Vibration written by Noureddine Atalla and published by CRC Press. This book was released on 2015-04-17 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Finite element analysis of wave propagation and scattering with applications to acoustic fluid-structure interaction by : Frank Ihlenburg
Download or read book Finite element analysis of wave propagation and scattering with applications to acoustic fluid-structure interaction written by Frank Ihlenburg and published by . This book was released on 1997 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dynamic Finite Element Analysis with Applications to Seismological Problems by : Douglas William McCowan
Download or read book Dynamic Finite Element Analysis with Applications to Seismological Problems written by Douglas William McCowan and published by . This book was released on 1975 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Finite-Difference Modelling of Earthquake Motions by : Peter Moczo
Download or read book The Finite-Difference Modelling of Earthquake Motions written by Peter Moczo and published by Cambridge University Press. This book was released on 2014-04-24 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among all the numerical methods in seismology, the finite-difference (FD) technique provides the best balance of accuracy and computational efficiency. This book offers a comprehensive introduction to FD and its applications to earthquake motion. Using a systematic tutorial approach, the book requires only undergraduate degree-level mathematics and provides a user-friendly explanation of the relevant theory. It explains FD schemes for solving wave equations and elastodynamic equations of motion in heterogeneous media, and provides an introduction to the rheology of viscoelastic and elastoplastic media. It also presents an advanced FD time-domain method for efficient numerical simulations of earthquake ground motion in realistic complex models of local surface sedimentary structures. Accompanied by a suite of online resources to help put the theory into practice, this is a vital resource for professionals and academic researchers using numerical seismological techniques, and graduate students in earthquake seismology, computational and numerical modelling, and applied mathematics.
Author :National Aeronautics and Space Administration (NASA) Publisher :Createspace Independent Publishing Platform ISBN 13 :9781722004958 Total Pages :36 pages Book Rating :4.0/5 (49 download)
Book Synopsis A Least-Squares Finite Element Method for Electromagnetic Scattering Problems by : National Aeronautics and Space Administration (NASA)
Download or read book A Least-Squares Finite Element Method for Electromagnetic Scattering Problems written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-06-28 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: The least-squares finite element method (LSFEM) is applied to electromagnetic scattering and radar cross section (RCS) calculations. In contrast to most existing numerical approaches, in which divergence-free constraints are omitted, the LSFF-M directly incorporates two divergence equations in the discretization process. The importance of including the divergence equations is demonstrated by showing that otherwise spurious solutions with large divergence occur near the scatterers. The LSFEM is based on unstructured grids and possesses full flexibility in handling complex geometry and local refinement Moreover, the LSFEM does not require any special handling, such as upwinding, staggered grids, artificial dissipation, flux-differencing, etc. Implicit time discretization is used and the scheme is unconditionally stable. By using a matrix-free iterative method, the computational cost and memory requirement for the present scheme is competitive with other approaches. The accuracy of the LSFEM is verified by several benchmark test problems. Wu, Jie and Jiang, Bo-nan Glenn Research Center NCC3-483; RTOP 505-90-5K...
Book Synopsis Proceedings of the Tenth World Conference on Earthquake Engineering by :
Download or read book Proceedings of the Tenth World Conference on Earthquake Engineering written by and published by CRC Press. This book was released on 1992 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Adaptive Finite Element Analysis of Unbounded Electromagnetic Wave Problems by :
Download or read book Adaptive Finite Element Analysis of Unbounded Electromagnetic Wave Problems written by and published by . This book was released on 1997 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis High-order Finite Element Methods for Seismic Wave Propagation by : Jonás de Dios De Basabe Delgado
Download or read book High-order Finite Element Methods for Seismic Wave Propagation written by Jonás de Dios De Basabe Delgado and published by . This book was released on 2009 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Purely numerical methods based on the Finite Element Method (FEM) are becoming increasingly popular in seismic modeling for the propagation of acoustic and elastic waves in geophysical models. These methods o er a better control on the accuracy and more geometrical exibility than the Finite Di erence methods that have been traditionally used for the generation of synthetic seismograms. However, the success of these methods has outpaced their analytic validation. The accuracy of the FEMs used for seismic wave propagation is unknown in most cases and therefore the simulation parameters in numerical experiments are determined by empirical rules. I focus on two methods that are particularly suited for seismic modeling: the Spectral Element Method (SEM) and the Interior-Penalty Discontinuous Galerkin Method (IP-DGM). The goals of this research are to investigate the grid dispersion and stability of SEM and IP-DGM, to implement these methods and to apply them to subsurface models to obtain synthetic seismograms. In order to analyze the grid dispersion and stability, I use the von Neumann method (plane wave analysis) to obtain a generalized eigenvalue problem. I show that the eigenvalues are related to the grid dispersion and that, with certain assumptions, the size of the eigenvalue problem can be reduced from the total number of degrees of freedom to one proportional to the number of degrees of freedom inside one element. The grid dispersion results indicate that SEM of degree greater than 4 is isotropic and has a very low dispersion. Similar dispersion properties are observed for the symmetric formulation of IP-DGM of degree greater than 4 using nodal basis functions. The low dispersion of these methods allows for a sampling ratio of 4 nodes per wavelength to be used. On the other hand, the stability analysis shows that, in the elastic case, the size of the time step required in IP-DGM is approximately 6 times smaller than that of SEM. The results from the analysis are con rmed by numerical experiments performed using an implementation of these methods. The methods are tested using two benchmarks: Lamb's problems and the SEG/EAGE salt dome model.
Book Synopsis Scattering and Attenuation of Seismic Waves, Part II by : WU
Download or read book Scattering and Attenuation of Seismic Waves, Part II written by WU and published by Birkhäuser. This book was released on 2013-11-21 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint from Pure and Applied Geophysics (PAGEOPH), Volume 131 (1989), No. 4
Book Synopsis Finite Element Methods for Electromagnetic Scattering Problems by : Elson J. Silva
Download or read book Finite Element Methods for Electromagnetic Scattering Problems written by Elson J. Silva and published by . This book was released on 2000 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Least-squares Finite Element Method for Electromagnetic Scattering Problems by : Jie Wu
Download or read book A Least-squares Finite Element Method for Electromagnetic Scattering Problems written by Jie Wu and published by . This book was released on 1996 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Mixed Finite Element-boundary Element Formulation for the Scattering of Seismic Waves in Various Media by : Chenwun Lay
Download or read book The Mixed Finite Element-boundary Element Formulation for the Scattering of Seismic Waves in Various Media written by Chenwun Lay and published by . This book was released on 1993 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: