Simplicial Partitions with Applications to the Finite Element Method

Assoc. Prof. Jan Brandts is the director of Mathematics and Computer Science at the Faculty of Science, University of Amsterdam. For five years he was the Editor-in-Chief of the Springer journal Applications of Mathematics. Prof. Sergey Korotov is a senior researcher and lecturer at the Western Norway University in Bergen. Prof. Michal Krizek is the head of the Numerical Analysis Department of the Institute of Mathematics of the Czech Academy of Sciences. For many years he was Editor-in-Chief of the Czech journal Advances of Mathematics, Physics and Astronomy, and the journal Applications of Mathematics. He is a member of the Czech Learned Society and is the author or coauthor of a wide range of monographs. All three authors have a common interest in numerical analysis, the finite element method for solving partial differential equations, mathematical physics, linear algebra, and mathematical and functional analysis.

Preface.- 1 Introduction. - 2 Simplices: Definitions and Properties. - 3 Simplicial Partitions. - 4 Angle Conditions. - 5 Nonobtuse Simplicial Partitions. - 6 Nonexistence of Acute Simplicial Partitions in R5. - 7 Tight Bounds on Angle Sums of Simplices. - 8 Refnement Techniques. - 9 The Discrete Maximum Principle. - 10 Variational Crimes. - 11 0/1-Simplices and 0/1-Triangulations. - 12 Tessellations of Maximally Symmetric Manifolds. - References. - Name Index. - Subject Index.