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Titlebook: Domain Decomposition Methods in Science and Engineering XXVI; Susanne C. Brenner,Eric Chung,Jun Zou Conference proceedings 2022 The Editor

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Nonoverlapping Domain Decomposition Methods for Saddle Point Problemsg methods have been studied by many researchers such as [1, 3, 4, 6, 7, 15]. Some of these algorithms can be applied for both continuous and discontinuous pressure discretizations, however, the convergence analyses are available only for the methods with discontinuous pressure, to the best of our kn
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Inexact Subdomain Solves Using Deflated GMRES for Helmholtz Problems of convergence issues, the Helmholtz equation remains a challenging PDE to solve numerically. Even for simple model problems, the resulting linear system after discretisation becomes indefinite and tailored iterative solvers are required to obtain the numerical solution efficiently. At the same tim
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OSDS: A Sweeping Preconditioner for the Helmholtz Equationpresence of overlaps helps to speed up the convergence for domain decomposition methods, nonoverlapping based methods are often used to avoid dealing with the construction of the normal derivative of the solution.
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A Parallel Adaptive Finite Element Method for Modeling a Deformable Droplet Travelling in Airdroplet transfer between individuals and the range of contamination are extremely complex and remain unclear [3]. Studying the fluid dynamics of pathogen-laden droplets is critically important to controlling the covid19 pandemic.
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