scholarly journals Well-Posedness, Regularity, and Convergence Analysis of the Finite Element Approximation of a Generalized Robin Boundary Value Problem

2015 ◽  
Vol 53 (1) ◽  
pp. 105-126 ◽  
Author(s):  
Takahito Kashiwabara ◽  
Claudia Maria Colciago ◽  
Luca Dedè ◽  
Alfio Quarteroni
Keyword(s):  
Finite Element ◽  
Boundary Value Problem ◽  
Convergence Analysis ◽  
Boundary Value ◽  
Finite Element Approximation ◽  
Element Approximation ◽  
Well Posedness ◽  
Robin Boundary ◽  
Robin Boundary Value Problem

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.

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