8 papers · 1 filter
Multiscale solution decomposition of nonlocal-in-time problems with application in numerical computation
Mengmeng Liu, Jie Ma, Wenlin Qiu +1
This work develops a multiscale solution decomposition (MSD) method for nonlocal-in-time problems to separate a series of known terms with multiscale singularity from the original…
Long-time error estimate and decay of finite element method to a generalized viscoelastic flow
Yingwen Guo, Yinnian He, Wenlin Qiu +1
This work analyzes the finite element approximation to a viscoelastic flow model, which generalizes the Navier-Stokes equation and Oldroyd's model by introducing the tempered power…
Numerical analysis for subdiffusion problem with non-positive memory
Wenlin Qiu, Xiangcheng Zheng
This work considers the subdiffusion problem with non-positive memory, which not only arises from physical laws with memory, but could be transformed from sophisticated models such…
Finite difference method for nonlinear damped viscoelastic Euler-Bernoulli beam model
Wenlin Qiu, Xiangcheng Zheng, Tao Guo +1
We propose and analyze the numerical approximation for a viscoelastic Euler-Bernoulli beam model containing a nonlinear strong damping coefficient. The finite difference method is…
Compact difference method for Euler-Bernoulli beams and plates with nonlinear nonlocal strong damping
Tao Guo, Yiqun Li, Wenlin Qiu
We investigate the numerical approximation to the Euler-Bernoulli (E-B) beams and plates with nonlinear nonlocal strong damping, which describes the damped mechanical behavior of b…
Numerical approximations for a hyperbolic integrodifferential equation with a non-positive variable-sign kernel and nonlinear-nonlocal damping
Wenlin Qiu, Xiangcheng Zheng, Kassem Mustapha
This work considers the Galerkin approximation and analysis for a hyperbolic integrodifferential equation, where the non-positive variable-sign kernel and nonlinear-nonlocal dampin…