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Finite Element and Discontinuous Galerkin Methods for Transient Wave Equations (Scientific Computation) by Gary Cohen, Sébastien Pernet (auth.) is a nonfiction available to read on EtoBox.

What is Finite Element and Discontinuous Galerkin Methods for Transient Wave Equations (Scientific Computation) about?

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 separat

Who reads Finite Element and Discontinuous Galerkin Methods for Transient Wave Equations (Scientific Computation)?

Author

Gary Cohen, Sébastien Pernet (auth.)

Publisher

Springer Netherlands Imprint : Springer

Published

2017

Language

EN

ISBN

9789401777599

Category

nonfiction

Subjects

Engineering, Mathematics, Science