Convergence analysis of a finite element method for second order non-variational elliptic problems

2017 ◽  
Vol 25 (3) ◽  
Author(s):  
Michael Neilan
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Partial Differential Equations ◽  
Convergence Analysis ◽  
Finite Element Methods ◽  
Elliptic Partial Differential Equations ◽  
The Finite Element Method ◽  
Variational Form ◽  
The One ◽  
Element Method

AbstractWe introduce and analyze a family of finite element methods for elliptic partial differential equations in non-variational form with non-differentiable coefficients. The finite element method studied is a variant of the one recently proposed in [Lakkis & Pryer,

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