The Finite Element Approximation in a System of Parabolic Quasi-Variational Inequalities Related to Management of Energy Production with Mixed Boundary Condition

2014 ◽  
Vol 25 (4) ◽  
pp. 530-543 ◽  
Author(s):  
Salah Boulaaras ◽  
Med Amine Bencheikh le Hocine ◽  
Mohamed Haiour
Keyword(s):  
Boundary Condition ◽  
Finite Element ◽  
Variational Inequalities ◽  
Energy Production ◽  
Mixed Boundary Condition ◽  
Mixed Boundary ◽  
Finite Element Approximation ◽  
Element Approximation

A mixed finite-element method for elliptic operators with Wentzell boundary condition

2018 ◽  
Vol 40 (1) ◽  
pp. 87-108
Author(s):  
Eberhard Bänsch ◽  
Markus Gahn
Keyword(s):  
Boundary Condition ◽  
Finite Element ◽  
Mixed Finite Element ◽  
A Priori ◽  
Mixed Finite Element Method ◽  
Finite Element Approximation ◽  
Element Approximation ◽  
Weak Formulation ◽  
Wentzell Boundary Condition ◽  
Polyhedral Domain

Abstract In this paper we introduce and analyze a mixed finite-element approach for a coupled bulk-surface problem of second order with a Wentzell boundary condition. The problem is formulated on a domain with a curved smooth boundary. We introduce a mixed formulation that is equivalent to the usual weak formulation. Furthermore, optimal a priori error estimates between the exact solution and the finite-element approximation are derived. To this end, the curved domain is approximated by a polyhedral domain introducing an additional geometrical error that has to be bounded. A computational result confirms the theoretical findings.

Sign in / Sign up

Export Citation Format

Share Document