The Mathematical Theory of Finite Element Methods

Reviews / Votes

From the reviews of the second edition:

S.C. Brenner and L.R. Scott

The Mathematical Theory of Finite Element Methods

"[This is] a well-written book. A great deal of material is covered, and students who have taken the trouble to master at least some of the advanced material in the later chapters would be well placed to embark on research in the area. The book would work even better as a course text if computational and programming aspects of finite elements were to be integrated into the course work, or if a course on computational aspects of finite elements were offered in tandem." - ZENTRALBLATT MATH

"The authors have continued . the second edition, adding chapters on additive Schwarz preconditioners with applications to domain decomposition methods, and on a posteriori estimators and adaptivity. For researchers in finite elements and graduate students . this book is a valuable source, and provides an accessible route to the journal literature. . In summary, then, this is an excellent . introduction to key mathematical topics in the finite element method, and at the same time a valuable reference and source for workers in this area." (Batamanathan D. Reddy, Zentralblatt MATH, Vol. 1012, 2003)

"This book is devoted to the mathematical theory of finite element method and is the second edition of the book from 1994. . The book can be used as a basis for graduate-level courses for students in applied mathematics, physics, engineering sciences and other fields . . The numerous and interesting exercises round off and complete each chapter. . The book can be highly recommended to everyone who is teaching or researching in the field of numerical solution of partial differential equations." (I. P. Gavrilyuk, Zeitschrift für Analysis und ihre Anwendungen, Vol. 22 (1), 2003)