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09/02/2023
On the training and generalization of deep operator networks
We present a novel training method for deep operator networks (DeepONets...
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09/02/2023
Projection-based reduced order modeling of an iterative coupling scheme for thermo-poroelasticity
This paper explores an iterative coupling approach to solve thermo-poroe...
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10/11/2021
An Enriched Galerkin Method for the Stokes Equations
We present a new enriched Galerkin (EG) scheme for the Stokes equations ...
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07/21/2020
Quasi-Static Anti-Plane Shear Crack Propagation in a New Class of Nonlinear Strain-Limiting Elastic Solids using Phase-Field Regularization
We present a novel constitutive model using the framework of strain-limi...
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07/20/2020
Nonlinear Strain-limiting Elasticity for Fracture Propagation with Phase-Field Approach
The conventional model governing the spread of fractures in elastic mate...
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07/20/2020
Choice of Interior Penalty Coefficient for Interior Penalty Discontinuous Galerkin Method for Biot's System by Employing Machine Learning
In this paper, the optimal choice of the interior penalty parameter of t...
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08/14/2019