The Efficient Finite Element Methods for Time-Fractional Oldroyd-B Fluid Model Involving Two Caputo Derivatives  

作　　者：An Chen 

机构地区：[1]College of Science,Guilin University of Technology,Guilin,541004,China

出　　处：《Computer Modeling in Engineering & Sciences》2020年第10期173-195,共23页工程与科学中的计算机建模（英文）

基　　金：The work is supported by the Guangxi Natural Science Foundation[Grant Numbers 2018GXNSFBA281020,2018GXNSFAA138121];the Doctoral Starting up Foundation of Guilin University of Technology[Grant Number GLUTQD2016044].

摘　　要：In this paper,we consider the numerical schemes for a timefractionalOldroyd-B fluidmodel involving the Caputo derivative.We propose two efficient finite element methods by applying the convolution quadrature in time generated by the backward Euler and the second-order backward difference methods.Error estimates in terms of data regularity are established for both the semidiscrete and fully discrete schemes.Numerical examples for two-dimensional problems further confirmthe robustness of the schemes with first-and second-order accurate in time.

关 键 词：Oldroyd-B fluid model caputo derivative finite element method convolution quadrature error estimate data regularity 

分 类 号：O17[理学—数学]