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math.NA2023
A fast and efficient numerical method for computing the stress concentration between closely located stiff inclusions of general shapes
Xiaofei Li, Shengqi Lin, Haojie Wang
When two stiff inclusions are closely located, the gradient of the solution to the Lamé system, in other words the stress, may become arbitrarily large as the distance between two…
math-ph2023
Asymptotic analysis of the Narrow Escape Problem in general shaped domain with several absorbing necks
Xiaofei Li, Shengqi Lin
This paper considers the two-dimensional narrow escape problem in a domain which is composed of a relatively big head and several thin necks. The narrow escape problem is to comput…