Overlapping and Multilevel Schwarz Methods for Vector Valued Elliptic Problems in Three Dimensions

2000 ◽  
pp. 181-208 ◽  
Author(s):  
Ralf Hiptmair ◽  
Andrea Toselli
Keyword(s):  
Elliptic Problems ◽  
Three Dimensions ◽  
Schwarz Methods ◽  
Vector Valued

Multilevel Schwarz methods for elliptic problems with discontinuous coefficients in three dimensions

1996 ◽  
Vol 72 (3) ◽  
pp. 313-348 ◽  
Author(s):  
Maksymilian Dryja ◽  
Marcus V. Sarkis ◽  
Olof B. Widlund
Keyword(s):  
Elliptic Problems ◽  
Discontinuous Coefficients ◽  
Three Dimensions ◽  
Schwarz Methods

New Development of the P and H-P Version Finite Element Method with Quasi-Uniform Meshes for Elliptic Problems

2013 ◽  
Vol 444-445 ◽  
pp. 671-675
Author(s):  
Jian Ming Zhang ◽  
Yong He
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Automobile Industry ◽  
Large Scale ◽  
Elliptic Problems ◽  
Three Dimensions ◽  
The Finite Element Method ◽  
New Development ◽  
Engineering Problems ◽  
Element Method

In recent three decades, the finite element method (FEM) has rapidly developed as an important numerical method and used widely to solve large-scale scientific and engineering problems. In the fields of structural mechanics such as civil engineering , automobile industry and aerospace industry, the finite element method has successfully solved many engineering practical problems, and it has penetrated almost every field of today's sciences and engineering, such as material science, electricmagnetic fields, fluid dynamics, biology, etc. In this paper, we will overview and summarize the development of the p and h-p version finite element method, and introduce some recent new development and our newest research results of the p and h-p version finite element method with quasi-uniform meshes in three dimensions for elliptic problems.

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