A Posteriori Error Estimates of Spectral Approximations for Second Order Partial Differential Equations in Spherical Geometries

2021 ◽  
Vol 90 (1) ◽  
Author(s):  
Jianwei Zhou ◽  
Huiyuan Li ◽  
Zhimin Zhang
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Error Estimates ◽  
A Posteriori Error Estimates ◽  
Posteriori Error ◽  
Second Order ◽  
A Posteriori ◽  
Partial Differential ◽  
A Posteriori Error ◽  
Spectral Approximations

scholarly journals An Elementary Method of Deriving A Posteriori Error Equalities and Estimates for Linear Partial Differential Equations

2019 ◽  
Vol 19 (2) ◽  
pp. 311-322 ◽  
Author(s):  
Immanuel Anjam ◽  
Dirk Pauly
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Posteriori Error ◽  
A Posteriori ◽  
Partial Differential ◽  
Simple Method ◽  
A Posteriori Error ◽  
Elementary Method ◽  
Linear Partial Differential Equations ◽  
Primal And Dual

AbstractIn this paper we present a simple method of deriving a posteriori error equalities and estimates for linear elliptic and parabolic partial differential equations. The error is measured in a combined norm taking into account both the primal and dual variables. We work only on the continuous (often called functional) level and do not suppose any specific properties of numerical methods and discretizations.

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