Mathematical Aspects of Discontinuous Galerkin Methods

Reviews / Votes

From the reviews:

"This new monograph is an extremely valuable collection of the mathematical treatment of discontinuous Galerkin methods with 300 references and providing profound insight into the required techniques. It collects and presents also several recent results for elliptic and non-elliptic, stationary and non-stationary partial differential equations in a unified framework. Thus it is strongly recommendable for researchers in the field." (Christian Wieners, Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 92 (7), 2012)

"The aim of the book is 'to provide the reader with the basic mathematical concepts to design and analyze discontinuous Galerkin methods for various model problems, starting at an introductory level and further elaborating on more advanced topics'. ... Some useful practical implementation aspects are considered in an Appendix. The bibliography contains more than 300 entries." (Calin Ioan Gheorghiu, Zentralblatt MATH, Vol. 1231, 2012)

"The goal of this book is to provide graduate students and researchers in numerical methods with the basic mathematical concepts to design and analyze discontinuous Galerkin (DG) methods for various model problems, starting at an introductory level and further elaborating on more advanced topics, considering that DG methods have tremendously developed in the last decade." (Rémi Vaillancourt, Mathematical Reviews, January, 2013)