scholarly journals Finite element error estimates in non-energy norms for the two-dimensional scalar Signorini problem

2020 ◽  
Vol 145 (3) ◽  
pp. 513-551
Author(s):  
Constantin Christof ◽  
Christof Haubner
Keyword(s):  
Finite Element ◽  
Error Estimates ◽  
Two Dimensional ◽  
Signorini Problem ◽  
Element Error

scholarly journals Finite element error estimates for subsonic flow

1987 ◽  
Vol 29 (1) ◽  
pp. 88-102 ◽  
Author(s):  
S. S. Chow ◽  
G. F. Carey
Keyword(s):  
Finite Element ◽  
Error Estimates ◽  
Subsonic Flow ◽  
Full Potential ◽  
Linear Potential ◽  
Element Analysis ◽  
Subsonic Flows ◽  
Potential Equation ◽  
Dual Formulation ◽  
Element Error

AbstractError estimates are derived for a finite element analysis of plane steady subsonic flows described by the full potential equation. The analysis is based on the use of the theory of variational inequalities to accomodate the subsonic flow constraint and leads to a suboptimal estimate relative to that obtained for linear potential flow. We then consider an alternative dual formulation of the problem and obtain an optimal estimate subject to reasonable regularity assumptions.

scholarly journals Finite element error estimates on the boundary with application to optimal control

2014 ◽  
Vol 84 (291) ◽  
pp. 33-70 ◽  
Author(s):  
Thomas Apel ◽  
Johannes Pfefferer ◽  
Arnd Rösch
Keyword(s):  
Optimal Control ◽  
Finite Element ◽  
Error Estimates ◽  
Element Error

scholarly journals Finite element error estimates for one-dimensional elliptic optimal control by BV-functions

2019 ◽  
Vol 0 (0) ◽  
pp. 0-0 ◽  
Author(s):  
Dominik Hafemeyer ◽  
◽  
Florian Mannel ◽  
Ira Neitzel ◽  
Boris Vexler ◽  
...  
Keyword(s):  
Optimal Control ◽  
Finite Element ◽  
Error Estimates ◽  
One Dimensional ◽  
Bv Functions ◽  
Elliptic Optimal Control ◽  
Element Error

Finite element error estimates for nonlinear convective problems

2016 ◽  
Vol 24 (3) ◽  
Author(s):  
Václav Kučera
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Error Estimates ◽  
The Finite Element Method ◽  
Element Error ◽  
Element Method

AbstractThis paper is concerned with the analysis of the finite element method applied to a nonstationary nonlinear convective problem. Using special estimates of the convective terms, we prove

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