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06/27/2023
Robust domain decomposition methods for high-contrast multiscale problems on irregular domains with virtual element discretizations
Our research focuses on the development of domain decomposition precondi...
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03/17/2023
Higher order derivatives of the adjugate matrix and the Jordan form
In this short note, we show that the higher order derivatives of the adj...
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01/20/2022
Finite difference and finite element methods for partial differential equations on fractals
In this paper, we present numerical procedures to compute solutions of p...
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06/09/2021
Natural Factor Based Solvers
We consider parametric families of partial differential equations–PDEs w...
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06/23/2020
Fast multiscale contrast independent preconditioners for linear elastic topology optimization problems
The goal of this work is to present a fast and viable approach for the n...
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06/09/2020
On the conservation properties in multiple scale coupling and simulation for Darcy flow with hyperbolic-transport in complex flows
We present and discuss a novel approach to deal with conservation proper...
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05/30/2019