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11/25/2022
Scalable multiscale-spectral GFEM for composite aero-structures
Ill-conditioned and multiscale partial differential equations (PDEs) ari...
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09/05/2022
Exponential convergence of a generalized FEM for heterogeneous reaction-diffusion equations
A generalized finite element method is proposed for solving a heterogene...
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12/20/2021
Wavenumber explicit convergence of a multiscale GFEM for heterogeneous Helmholtz problems
In this paper, a generalized finite element method (GFEM) with optimal l...
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10/26/2021
Overlapping Schwarz methods with GenEO coarse spaces for indefinite and non-self-adjoint problems
GenEO ('Generalised Eigenvalue problems on the Overlap') is a method for...
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07/21/2021
Error estimates for fully discrete generalized FEMs with locally optimal spectral approximations
This paper is concerned with the error estimates of the fully discrete g...
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03/30/2021
GenEO coarse spaces for heterogeneous indefinite elliptic problems
Motivated by recent work on coarse spaces for Helmholtz problems, we pro...
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03/17/2021
Novel design and analysis of generalized FE methods based on locally optimal spectral approximations
In this paper, the generalized finite element method (GFEM) for solving ...
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08/06/2020
Efficient multiscale algorithms for simulating nonlocal optical response of metallic nanostructure arrays
In this paper, we consider numerical simulations of the nonlocal optical...
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06/11/2019