scholarly journals Stability and error estimates valid for infinite time, for strongly monotone and infinitely stiff evolution equations

1986 ◽  
pp. 275-284
Author(s):  
O. Axelsson
Keyword(s):  
Error Estimates ◽  
Evolution Equations ◽  
Infinite Time ◽  
Strongly Monotone

Error estimates of a finite element method for stochastic time-fractional evolution equations with fractional Brownian motion

2021 ◽  
pp. 2250006
Author(s):  
Jingyun Lv
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Brownian Motion ◽  
Fractional Brownian Motion ◽  
Error Estimates ◽  
Evolution Equations ◽  
Fractional Evolution Equations ◽  
Backward Euler ◽  
Stochastic Time ◽  
Element Method

The aim of this paper is to consider the convergence of the numerical methods for stochastic time-fractional evolution equations driven by fractional Brownian motion. The spatial and temporal regularity of the mild solution is given. The numerical scheme approximates the problem in space by the Galerkin finite element method and in time by the backward Euler convolution quadrature formula, and the noise by the [Formula: see text]-projection. The strong convergence error estimates for both semi-discrete and fully discrete schemes are established. A numerical example is presented to verify our theoretical analysis.

Sign in / Sign up

Export Citation Format

Share Document