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...
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...
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...
A method for construction of a preconditioner for the capacitance matrix on the interface is described. The preconditioner is determined by a subdomain covering the interface, and the condition number of the precondit...