Convergence Analysis and the Nested Refinement for the Trapezoid Finite Element

2011 ◽  
Vol 317-319 ◽  
pp. 1921-1925
Author(s):  
Qi Sheng Wang ◽  
Xue Ling Wang
Keyword(s):  
Finite Element ◽  
Convergence Analysis ◽  
Elliptic Problem ◽  
Second Order ◽  
New Method ◽  
Convergence Results

In this paper, a class of the new method of nested refinement based on self-adaption grid is discussed. The level trapezoid grid nested refinement on the plan domain and some related properties are investigated, and the convergence results are obtained for the second order self-adjoint elliptic problem on the trapezoid finite element.

Convergence Analysis for the Nested Refinement of Triangular Finite Element

2011 ◽  
Vol 317-319 ◽  
pp. 1926-1930 ◽  
Author(s):  
Qi Sheng Wang ◽  
Yi Gao Zhao
Keyword(s):  
Finite Element ◽  
Boundary Value Problem ◽  
Convergence Analysis ◽  
Poisson Equation ◽  
Boundary Value ◽  
Triangular Mesh ◽  
Triangular Grid ◽  
Triangular Finite Element ◽  
Convergence Results

In this paper, the method of the nested refinement for triangular mesh and some relevant conclusions are considered. The Κ level triangular grid nested refinement on the plan domain Ω and some related properties are discussed , and the convergence results are obtained for the first boundary value problem of Poisson equation under the nested refinement of triangular finite element.

A FETI-DP Method for Crouzeix-Raviart Finite Element Discretizations

2012 ◽  
Vol 12 (1) ◽  
pp. 73-91 ◽  
Author(s):  
Leszek Marcinkowski ◽  
Talal Rahman
Keyword(s):  
Finite Element ◽  
Condition Number ◽  
Elliptic Problem ◽  
Discontinuous Coefficients ◽  
Second Order ◽  
System Of Equations ◽  
Finite Element Discretization ◽  
Element Discretization ◽  
Finite Element Discretizations ◽  
Element Discretizations

AbstractThis paper is concerned with the construction and analysis of a parallel preconditioner for a FETI-DP system of equations arising from the nonconforming Crouzeix-Raviart finite element discretization of a model elliptic problem of second order with discontinuous coefficients. We show that the condition number of the preconditioned problem is independent of the coefficient jumps, and the preconditioner is quasi optimal.

Sign in / Sign up

Export Citation Format

Share Document