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math.NA2020★ 2 cited
A local character based method for solving linear systems of radiation diffusion problems
Shuai Ye, Hengbin An, Xinhai Xu
The radiation diffusion problem is a kind of {time-dependent} nonlinear equations. For solving the radiation diffusion equations, many linear systems are obtained in the nonlinear…
math.NA2016★ 3 cited
Generalized multiscale finite element methods for space-time heterogeneous parabolic equations
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung +1
In this paper, we consider local multiscale model reduction for problems with multiple scales in space and time. We developed our approaches within the framework of the Generalized…