Local Equilibration Error Estimators for Guaranteed Error Control in Adaptive Stochastic Higher-Order Galerkin Finite Element Methods

2016 ◽  
Vol 4 (1) ◽  
pp. 1372-1397 ◽  
Author(s):  
Martin Eigel ◽  
Christian Merdon
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Error Control ◽  
Higher Order ◽  
Galerkin Finite Element ◽  
Error Estimators ◽  
Galerkin Finite Element Methods

scholarly journals Recent Advances in Least-Squares and Discontinuous Petrov–Galerkin Finite Element Methods

2019 ◽  
Vol 19 (3) ◽  
pp. 395-397 ◽  
Author(s):  
Fleurianne Bertrand ◽  
Leszek Demkowicz ◽  
Jay Gopalakrishnan ◽  
Norbert Heuer
Keyword(s):  
Finite Element ◽  
Least Squares ◽  
Finite Element Methods ◽  
Error Control ◽  
Posteriori Error ◽  
Test Functions ◽  
Dual Norm ◽  
Galerkin Finite Element ◽  
Galerkin Finite Element Methods ◽  
Minimal Residual Methods

AbstractLeast-squares (LS) and discontinuous Petrov–Galerkin (DPG) finite element methods are an emerging methodology in the computational partial differential equations with unconditional stability and built-in a posteriori error control. This special issue represents the state of the art in minimal residual methods in the L^{2}-norm for the LS schemes and in dual norm with broken test-functions in the DPG schemes.

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