It takes the average reader 6 hours and 22 minutes to read Finite Element and Discontinuous Galerkin Methods for Transient Wave Equations by Gary Cohen
Assuming a reading speed of 250 words per minute. Learn more
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.
Finite Element and Discontinuous Galerkin Methods for Transient Wave Equations by Gary Cohen is 381 pages long, and a total of 95,631 words.
This makes it 129% the length of the average book. It also has 117% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 8 hours and 42 minutes to read Finite Element and Discontinuous Galerkin Methods for Transient Wave Equations aloud.
Finite Element and Discontinuous Galerkin Methods for Transient Wave Equations is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
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