A split least-squares characteristic mixed finite element method for Sobolev equations with convection term

2009 ◽  
Vol 80 (2) ◽  
pp. 341-351 ◽  
Author(s):  
Fuzheng Gao ◽  
Hongxing Rui
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Least Squares ◽  
Mixed Finite Element ◽  
Mixed Finite Element Method ◽  
Convection Term ◽  
Sobolev Equations ◽  
Element Method

scholarly journals The Time DiscontinuousH1-Galerkin Mixed Finite Element Method for Linear Sobolev Equations

2015 ◽  
Vol 2015 ◽  
pp. 1-10
Author(s):  
Hong Yu ◽  
Tongjun Sun ◽  
Na Li
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Mixed Finite Element ◽  
Mixed Finite Element Method ◽  
Approximate Solutions ◽  
Piecewise Polynomial ◽  
Sobolev Equations ◽  
Time Variables ◽  
Norm Error ◽  
Element Method

We combine theH1-Galerkin mixed finite element method with the time discontinuous Galerkin method to approximate linear Sobolev equations. The advantages of these two methods are fully utilized. The approximate schemes are established to get the approximate solutions by a piecewise polynomial of degree at mostq-1with the time variable. The existence and uniqueness of the solutions are proved, and the optimalH1-norm error estimates are derived. We get high accuracy for both the space and time variables.

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