Overview
- Editors:
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Bernardo Cockburn
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School of Mathematics, University of Minnesota, Minneapolis, USA
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George E. Karniadakis
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Division of Applied Mathematics, Brown University, Providence, USA
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Chi-Wang Shu
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Division of Applied Mathematics, Brown University, Providence, USA
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Table of contents (49 papers)
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Contributed Papers
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Front Matter
Pages 245-245
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- Steeve Augoula, Rémi Abgrall
Pages 255-261
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- Arjen C. B. Bogaerds, Wilco M. H. Verbeeten, Frank P. T. Baaijens
Pages 263-270
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- F. L. Carranza, R. B. Haber
Pages 277-283
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- Bernardo Cockburn, Mitchell Luskin, Chi-Wang Shu, Endre Süli
Pages 291-300
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- Clint Dawson, Vadym Aizinger, Bernardo Cockburn
Pages 309-314
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- A. Fortin, A. Béliveau, M. C. Heuzey, A. Lioret
Pages 321-326
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- Donald J. Estep, Roland W. Freund
Pages 327-335
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- Changqing Hu, Olga Lepsky, Chi-Wang Shu
Pages 343-348
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- Guido Kanschat, Franz-Theo Suttmeier
Pages 349-354
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- David A. Kopriva, Stephen L. Woodruff, M. Y. Hussaini
Pages 355-361
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- Mats G. Larson, Timothy J. Barth
Pages 363-368
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- Jian-Guo Liu, Chi-Wang Shu
Pages 369-374
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- I. Lomtev, R. M. Kirby, G. E. Karniadakis
Pages 375-383
About this book
A class of finite element methods, the Discontinuous Galerkin Methods (DGM), has been under rapid development recently and has found its use very quickly in such diverse applications as aeroacoustics, semi-conductor device simula tion, turbomachinery, turbulent flows, materials processing, MHD and plasma simulations, and image processing. While there has been a lot of interest from mathematicians, physicists and engineers in DGM, only scattered information is available and there has been no prior effort in organizing and publishing the existing volume of knowledge on this subject. In May 24-26, 1999 we organized in Newport (Rhode Island, USA), the first international symposium on DGM with equal emphasis on the theory, numerical implementation, and applications. Eighteen invited speakers, lead ers in the field, and thirty-two contributors presented various aspects and addressed open issues on DGM. In this volume we include forty-nine papers presented in the Symposium as well as a survey paper written by the organiz ers. All papers were peer-reviewed. A summary of these papers is included in the survey paper, which also provides a historical perspective of the evolution of DGM and its relation to other numerical methods. We hope this volume will become a major reference in this topic. It is intended for students and researchers who work in theory and application of numerical solution of convection dominated partial differential equations. The papers were written with the assumption that the reader has some knowledge of classical finite elements and finite volume methods.