We prove the uniform Hölder bounds of solutions to a singularly perturbed elliptic system arising in competing models in population dynamics. In this system, two species compete to some extent throughout the whole dom...
supported by the National Natural Science Foundation of China(Grant Nos.52175223,and 11802072);the Fundamental Research Funds for the Central Universities(Grant No.B210201038).
In this work,we propose incorporating the finite cell method(FCM)into the absolute nodal coordinate formulation(ANCF)to improve the efficiency and robustness of ANCF elements in simulating structures with complex loca...
This work is supported by the National Natural Science Foundation of China(Grant Nos.12072242,11772237);the Natural Science Foundation of Hubei Province(Grant No.2020CFB816);the open funds of the State Key Laboratory of Structural Analysis for Industrial Equipment(Dalian University of Technology)through contract/Grant No.GZ19110.
Functional graded cellular structure(FGCS)usually shows superiormechanical behaviorwith lowdensity and high stiffness.With the development of additivemanufacturing,functional graded cellular structure gains its popula...
supported by the National Natural Science Foundation of China(11902127);the Natural Science Foundation of Jiangxi Province of China(20192BAB212010);Education Department of Jiangxi Province of China(GJJ180499).
The material point method(MPM)has been proved to be an effective numerical method for large deformation problems.However,the MPM suffers from the cell crossing error as that the material particles are used to represen...
The authors would like to thank the referees for helpful comments and suggestions, which lead to substantial improvements of the presentation.The work was Supported by the National Nature Foundation of China (NO.11401422), the Provincial Natural Science Foundation of Shanxi (NO.2015011001, 2014011005-4),China Postdoctoral Science Foundation funded project (No.2015M582336)
A decoupling method with different subdomain time steps for the non-stationary Navier- Stokes/Darcy model is formulated and analyzed. The method has asynchronous time steps, which adopt small time steps in the fluid r...
A new numerical approach, called the “subdomain Chebyshev spectral method” is presented for calculation of the spatial derivatives in a curved coordinate system, which may be employed for numerical solutions of part...
Temporal and spatial subdomain techniques are proposed for a time-spectral method for solution of initial-value problems. The spectral method, called the generalised weighted residual method (GWRM), is a generalisatio...
Consider the wave equation with distributed controls supported on a subdomain, calledcontrol subdomain, which is allowed to be variant in time. For any prescribed time duration,the authors work out a scheme for changi...
This paper discusses some basic properties of algebroid functions in a subdomain of the complex plane and some similar results (to those in the whole complex plane) and a new situation are showed.
-According to basic equations of fluid mechanics, this paper presents a unified variational principle of fluid mechanics (UVPFM) by using the optimization method of weighted residuals (OMWR). The advantages are as fol...