High accuracy analysis of the finite element method for nonlinear viscoelastic wave equations with nonlinear boundary conditions

2011 ◽  
Vol 24 (4) ◽  
pp. 795-802
Author(s):  
Dongyang Shi ◽  
Buying Zhang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Wave Equations ◽  
Nonlinear Boundary ◽  
Nonlinear Boundary Conditions ◽  
High Accuracy ◽  
Accuracy Analysis ◽  
The Finite Element Method ◽  
Nonlinear Viscoelastic ◽  
Viscoelastic Wave

scholarly journals High-accuracy analysis of finite-element method for two-term mixed time-fractional diffusion-wave equations

2018 ◽  
Vol 48 (7) ◽  
pp. 871-887 ◽  
Author(s):  
Yabing WEI ◽  
Yanmin ZHAO ◽  
Yifa TANG ◽  
Fenling WANG ◽  
Zhengguang SHI ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Wave Equations ◽  
Fractional Diffusion ◽  
High Accuracy ◽  
Accuracy Analysis ◽  
Diffusion Wave ◽  
Element Method

scholarly journals A finite element method for a diffusion equation with constrained energy and nonlinear boundary conditions

1993 ◽  
Vol 35 (1) ◽  
pp. 87-102 ◽  
Author(s):  
Amiya K. Pani
Keyword(s):  
Finite Element Method ◽  
Boundary Condition ◽  
Finite Element ◽  
Diffusion Equation ◽  
Nonlinear Boundary ◽  
Nonlinear Boundary Condition ◽  
Nonlinear Boundary Conditions ◽  
Optimal Error Estimates ◽  
Optimal Error ◽  
Finite Element Galerkin Method

AbstractA finite element Galerkin method for a diffusion equation with constrained energy and nonlinear boundary condition is analysed and optimal error estimates in L2 and L∞-norms are derived. These results improve upon previously derived estimates by Cannon et al. [4].

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