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04/27/2023
Localized orthogonal decomposition for a multiscale parabolic stochastic partial differential equation
A multiscale method is proposed for a parabolic stochastic partial diffe...
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12/29/2022
Well-Posedness and Finite Element Approximation of Mixed Dimensional Partial Differential Equations
We consider a mixed dimensional elliptic partial differential equation p...
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11/25/2022
Multiscale methods for solving wave equations on spatial networks
We present and analyze a multiscale method for wave propagation problems...
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10/14/2022
Super-localization of spatial network models
Spatial network models are used as a simplified discrete representation ...
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09/13/2022
Numerical homogenization of spatial network models
We present and analyze a methodology for numerical homogenization of spa...
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07/15/2022
Iterative solution of spatial network models by subspace decomposition
We present and analyze a preconditioned conjugate gradient method (PCG) ...
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09/14/2021
A space-time multiscale method for parabolic problems
We present a space-time multiscale method for a parabolic model problem ...
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02/02/2021
An offline-online strategy for multiscale problems with random defects
In this paper, we propose an offline-online strategy based on the Locali...
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11/06/2020
A generalized finite element method for the strongly damped wave equation with rapidly varying data
We propose a generalized finite element method for the strongly damped w...
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04/28/2020
A numerical multiscale method for fiber networks
Fiber network modeling can be used for studying mechanical properties of...
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08/10/2019
Numerical upscaling for heterogeneous materials in fractured domains
We consider numerical solution of elliptic problems with heterogeneous d...
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08/01/2019