Download Ebook BookFinite Element and Discontinuous Galerkin Methods for Transient Wave Equations (Scientific Computation)

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PDF Finite Element and Discontinuous Galerkin Methods for Transient Wave Equations (Scientific Computation)

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Book Details :
Published on: 2016-08-06
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Original language: English

This monograph presents numerical methods for solving transient wave equations (i.e. in time domain). More precisely, it provides an overview of continuous and discontinuous finite element methods for these equations, including their implementation in physical models, an extensive description of 2D and 3D elements with different shapes, such as prisms or pyramids, an analysis of the accuracy of the methods and the study of the Maxwell’s system and the important problem of its spurious free approximations. After recalling the classical models, i.e. acoustics, linear elastodynamics and electromagnetism and their variational formulations, the authors present a wide variety of finite elements of different shapes useful for the numerical resolution of wave equations. Then, they focus on the construction of efficient continuous and discontinuous Galerkin methods and study their accuracy by plane wave techniques and a priori error estimates. A chapter is devoted to the Maxwell’s system and the important problem of its spurious-free approximations. Treatment of unbounded domains by Absorbing Boundary Conditions (ABC) and Perfectly Matched Layers (PML) is described and analyzed in a separate chapter. The two last chapters deal with time approximation including local time-stepping and with the study of some complex models, i.e. acoustics in flow, gravity waves and vibrating thin plates. Throughout, emphasis is put on the accuracy and computational efficiency of the methods, with attention brought to their practical aspects.This monograph also covers in details the theoretical foundations and numerical analysis of these methods. As a result, this monograph will be of interest to practitioners, researchers, engineers and graduate students involved in the numerical simulationof waves. Resolve a DOI Name Type or paste a DOI name into the text box. Click Go. Your browser will take you to a Web page (URL) associated with that DOI name. Send questions or comments to doi ... 2016-2017 Calendar The first part of this course covers multiple integrals and vector calculus. Topics covered include: double and triple integrals derivatives of definite integrals ... Journal of Computational and Theoretical Nanoscience READ THIS NOTE BEFORE SUBMISSION:Manuscript processing fees of US$980 per article will apply to all new manuscripts submitted to this journal after 12am ... Finite-difference time-domain method - Wikipedia Finite-difference time-domain or Yee's method (named after the Chinese American applied mathematician Kane S. Yee born 1934) is a numerical analysis technique used ... International Journal of Engineering Research and ... International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research .. 2017 :: Joint Mathematics Meetings :: January 4 - 7 ... Monday January 2 2017. Monday January 2 2017 9:00 a.m.-4:30 p.m. AMS Short Course on Random Growth Models Part I M301 Marquis Level Marriott Marquis Linear and nonlinear waves - Scholarpedia Introduction. A wave is a time evolution phenomenon that we generally model mathematically using partial differential equations (PDEs) which have a ... Eurasc - New Members - eurasc.org List of the new elected members to the European Academy of Sciences Oxbridge essays scampi shrimp recipe nobu-zzvc Oxbridge essays scampi shrimp recipe nobu-zzvc Samedi 14 mar 2015
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