Superconvergence analysis for a semilinear parabolic equation with BDF-3 finite element method

2020 ◽  
pp. 1-11
Author(s):  
Junjun Wang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Parabolic Equation ◽  
Semilinear Parabolic Equation ◽  
Semilinear Parabolic ◽  
Element Method

THE CONVERGENCE OF A MULTIDIMENSIONAL, LOCALLY CONSERVATIVE EULERIAN–LAGRANGIAN FINITE ELEMENT METHOD FOR A SEMILINEAR PARABOLIC EQUATION

2010 ◽  
Vol 20 (02) ◽  
pp. 315-348 ◽  
Author(s):  
JIM DOUGLAS ◽  
ANNA MARIA SPAGNUOLO ◽  
SON-YOUNG YI
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Parabolic Equation ◽  
Optimal Rate ◽  
Semilinear Parabolic Equation ◽  
Space And Time ◽  
Lagrangian Finite Element ◽  
Semilinear Parabolic ◽  
Locally Conservative ◽  
Element Method

We study a locally conservative Eulerian–Lagrangian finite element method for approximating the solution of a semilinear parabolic equation and prove that a post-processed version of the method converges at an optimal rate as the space and time increments tend to zero.

scholarly journals Error Analysis of a Finite Element Method for the Space-Fractional Parabolic Equation

2014 ◽  
Vol 52 (5) ◽  
pp. 2272-2294 ◽  
Author(s):  
Bangti Jin ◽  
Raytcho Lazarov ◽  
Joseph Pasciak ◽  
Zhi Zhou
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Parabolic Equation ◽  
Error Analysis ◽  
Element Method
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