Tag: Simplicial

Free Download Jan Brandts, Sergey Korotov, Michal Křížek, "Simplicial Partitions with Applications to the Finite Element Method"
English | 2020 | pages: 197 | ISBN: 3030556794 | PDF | 5,4 mb
This monograph focuses on the mathematical and numerical analysis of simplicial partitions and the finite element method. This active area of research has become an essential part of physics and engineering, for example in the study of problems involving heat conduction, linear elasticity, semiconductors, Maxwell’s equations, Einstein’s equations and magnetic and gravitational fields.

Free Download Triangulations and Simplicial Methods By Chuangyin Dang (auth.)
1995 | 196 Pages | ISBN: 3540588388 | PDF | 5 MB
As a new type of technique, simplicial methods have yielded extremely important contributions toward solutions of a system of nonlinear equations. Theoretical investigations and numerical tests have shown that the performance of simplicial methods depends critically on the triangulations underlying them. This monograph describes some recent developments in triangulations and simplicial methods. It includes the D1-triangulation and its applications to simplicial methods. As a result, efficiency of simplicial methods has been improved significantly. Thus more effective simplicial methods have been developed.