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math.NA2024
Analysis of continuous data assimilation with large (or even infinite) nudging parameters
Amanda Diegel, Xuejian Li, Leo G. Rebholz
This paper considers continuous data assimilation (CDA) in partial differential equation (PDE) discretizations where nudging parameters can be taken arbitrarily large. We prove tha…
math.NA2024
Convergence Analysis of a Preconditioned Steepest Descent Solver for the Cahn-Hilliard Equation with Logarithmic Potential
Amanda E. Diegel, Cheng Wang, Steven M. Wise
In this paper, we provide a theoretical analysis for a preconditioned steepest descent (PSD) iterative solver that improves the computational time of a finite difference numerical…