hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes

Over the last few decades discontinuous Galerkin finite element methods (DGFEMs) have been witnessed tremendous interest as a computational framework for the numerical solution of partial differential equations. Their success is due to their extreme versa

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Andrea Cangiani Zhaonan Dong Emmanuil H. Georgoulis Paul Houston

hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes 123

SpringerBriefs in Mathematics

Series Editors Nicola Bellomo Michele Benzi Palle Jorgensen Tatsien Li Roderick Melnik Otmar Scherzer Benjamin Steinberg Lothar Reichel Yuri Tschinkel George Yin Ping Zhang

SpringerBriefs in Mathematics showcase expositions in all areas of mathematics and applied mathematics. Manuscripts presenting new results or a single new result in a classical field, new field, or an emerging topic, applications, or bridges between new results and already published works, are encouraged. The series is intended for mathematicians and applied mathematicians. More information about this series at http://www.springer.com/series/10030

Andrea Cangiani • Zhaonan Dong • Emmanuil H. Georgoulis • Paul Houston

hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes

123

Andrea Cangiani Department of Mathematics University of Leicester Leicester, United Kingdom

Zhaonan Dong Department of Mathematics University of Leicester Leicester, United Kingdom

Emmanuil H. Georgoulis Department of Mathematics University of Leicester Leicester, United Kingdom

Paul Houston School of Mathematical Sciences University of Nottingham Nottingham, United Kingdom

Department of Mathematics National Technical University of Athens Greece

ISSN 2191-8198 SpringerBriefs in Mathematics ISBN 978-3-319-67671-5 DOI 10.1007/978-3-319-67673-9

ISSN 2191-8201 (electronic) ISBN 978-3-319-67673-9 (eBook)

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