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math.NA2013
Convergence of an Adaptive Finite Element Method for Distributed Flux Reconstruction
Yifeng Xu, Jun Zou
We shall establish the convergence of an adaptive conforming finite element method for the reconstruction of the distributed flux in a diffusion system. The adaptive method is base…
math.NA2013
Overlapping Domain Decomposition Methods for Linear Inverse Problems
Jiang Daijun, Feng Hui, Zou Jun
We shall derive and propose several efficient overlapping domain decomposition methods for solving some typical linear inverse problems, including the identiffication of the flux,…