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math.NA2024
Dynamically accelerating the power iteration with momentum
Christian Austin, Sara Pollock, Yunrong Zhu
In this paper, we propose, analyze and demonstrate a dynamic momentum method to accelerate power and inverse power iterations with minimal computational overhead. The method can be…
math.NA2017
Uniqueness of discrete solutions of nonmonotone PDEs without a globally fine mesh condition
Sara Pollock, Yunrong Zhu
Uniqueness of the finite element solution for nonmonotone quasilinear problems of elliptic type is established in one and two dimensions. In each case, we prove a comparison theore…
math.NA2010★ 18 cited
Local Convergence of Adaptive Methods for Nonlinear Partial Differential Equations
Michael Holst, Gantumur Tsogtgerel, Yunrong Zhu
In this article we develop convergence theory for a general class of adaptive approximation algorithms for abstract nonlinear operator equations on Banach spaces, and use the theor…