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05/31/2023
A scalable domain decomposition method for FEM discretizations of nonlocal equations of integrable and fractional type
Nonlocal models allow for the description of phenomena which cannot be c...
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03/15/2022
An asymptotically compatible coupling formulation for nonlocal interface problems with jumps
We introduce a mathematically rigorous formulation for a nonlocal interf...
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01/26/2022
Machine-learning of nonlocal kernels for anomalous subsurface transport from breakthrough curves
Anomalous behavior is ubiquitous in subsurface solute transport due to t...
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05/15/2021
A FETI approach to domain decomposition for meshfree discretizations of nonlocal problems
We propose a domain decomposition method for the efficient simulation of...
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01/28/2021
A fractional model for anomalous diffusion with increased variability. Analysis, algorithms and applications to interface problems
Fractional equations have become the model of choice in several applicat...
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10/07/2020
An optimization-based approach to parameter learning for fractional type nonlocal models
Nonlocal operators of fractional type are a popular modeling choice for ...
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02/04/2020
Numerical methods for nonlocal and fractional models
Partial differential equations (PDEs) are used, with huge success, to mo...
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08/24/2018
