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02/03/2022
Multi-Output Physics-Informed Neural Networks for Forward and Inverse PDE Problems with Uncertainties
Physics-informed neural networks (PINNs) have recently been used to solv...
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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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08/25/2021
Coupling of IGA and Peridynamics for Air-Blast Fluid-Structure Interaction Using an Immersed Approach
We present a novel formulation based on an immersed coupling of Isogeome...
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07/15/2021
A Petrov-Galerkin method for nonlocal convection-dominated diffusion problems
We present a Petrov-Gelerkin (PG) method for a class of nonlocal convect...
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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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01/04/2021
A machine-learning framework for peridynamic material models with physical constraints
As a nonlocal extension of continuum mechanics, peridynamics has been wi...
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04/23/2020
A unified, stable and accurate meshfree framework for peridynamic correspondence modeling. Part II: wave propagation and enforcement of stress boundary conditions
The overarching goal of this work is to develop an accurate, robust, and...
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03/04/2020
Deriving peridynamic influence functions for one-dimensional elastic materials with periodic microstructure
The influence function in peridynamic material models has a large effect...
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01/02/2020
Asymptotically compatible reproducing kernel collocation and meshfree integration for the peridynamic Navier equation
In this work, we study the reproducing kernel (RK) collocation method fo...
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07/28/2019
Asymptotically compatible reproducing kernel collocation and meshfree integration for nonlocal diffusion
Reproducing kernel (RK) approximations are meshfree methods that constru...
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03/05/2019