Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations: Theory and Implementation: 35 (Frontiers in Applied Mathematics, Series Number 35) - Softcover

B�atrice Rivi�re (author)

9780898716566: Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations: Theory and Implementation: 35 (Frontiers in Applied Mathematics, Series Number 35)

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ISBN 10: 089871656X ISBN 13: 9780898716566

Publisher: SIAM - Society for Industrial and Applied Mathematics, 2008

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Focuses on three primal DG methods, covering both theory and computation, and providing the basic tools for analysis.

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About the Author

B�atrice M. Rivi�re is an Associate Professor in the Department of Computational and Applied Mathematics at Rice University.

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Publisher: SIAM - Society for Industrial and Applied Mathematics
Publication date: 2008
Language: English
ISBN 10: 089871656X
ISBN 13: 9780898716566
Binding: Paperback
Number of pages: 212

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Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations: Theory and Implementation (Frontiers in Applied Mathematics, Series Number 35)

Riviere, Beatrice M.

Published by Society for Industrial and Applied Mathematics, 2008

ISBN 10: 089871656X ISBN 13: 9780898716566

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Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations

B?atrice Rivi?re

Published by Cambridge University Press, 2008

ISBN 10: 089871656X ISBN 13: 9780898716566

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Discontinuous Galerkin Methods For Solving Elliptic And Parabolic Equations : Theory and Implementation

Riviere, Beatrice

Published by Society for Industrial and Applied Mathematics, 2008

ISBN 10: 089871656X ISBN 13: 9780898716566

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Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations

B�atrice Rivi�re

Published by Society for Industrial and Applied Mathematics,U.S., US, 2008

ISBN 10: 089871656X ISBN 13: 9780898716566

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Paperback. Condition: New. Discontinuous Galerkin (DG) methods for solving partial differential equations, developed in the late 1990s, have become popular among computational scientists. This book covers both theory and computation as it focuses on three primal DG methods - the symmetric interior penalty Galerkin, incomplete interior penalty Galerkin, and nonsymmetric interior penalty Galerkin - which are variations of interior penalty methods. The author provides the basic tools for analysis and discusses coding issues, including data structure, construction of local matrices, and assembling of the global matrix. Computational examples and applications to important engineering problems are also included.Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equation is divided into three parts: Part I focuses on the application of DG methods to second order elliptic problems in one dimension and in higher dimensions. Part II presents the time-dependent parabolic problems-without and with convection. Part III contains applications of DG methods to solid mechanics (linear elasticity), ?uid dynamics (Stokes and Navier-Stokes), and porous media ?ow (two-phase and miscible displacement).Appendices contain proofs and MATLAB� code for one-dimensional problems for elliptic equations and routines written in C that correspond to algorithms for the implementation of DG methods in two or three dimensions. Seller Inventory # LU-9780898716566

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