Article-Journal

Nodal finite element approximation of peridynamics
In this work, nodal finite element discretization is detailed.
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Residual-based error corrector operator to enhance accuracy and reliability of neural operator surrogates of nonlinear variational boundary-value problems
This work focuses on developing methods for approximating the solution operators of a class of parametric partial differential …
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Discrete-to-Continuum Limits of Long-Range Electrical Interactions in Nanostructures
We consider electrostatic interactions in two classes of nanostructures embedded in a three dimensional space: (1) helical nanotubes, …
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Residual-Based Error Correction for Neural Operator Accelerated Infinite-Dimensional Bayesian Inverse Problems
Residual-based error corrector technique is proposed and applied to improve the neural operator predictions for Bayesian inference problems.
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Goal-Oriented A-Posteriori Estimation of Model Error as an Aid to Parameter Estimation
In this work, a Bayesian model calibration framework is presented that utilizes goal-oriented a-posterior error estimates in quantities …
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Atomic-to-Continuum Multiscale Modeling of Defects in Crystals with Nonlocal Electrostatic Interactions
This work develops a multiscale modeling framework for defects in crystals with general geometries and boundary conditions in which …
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Mutual-Information Based Optimal Experimental Design for Hyperpolarized 13C-Pyruvate MRI
A key parameter of interest recovered from hyperpolarized (HP) MRI measurements is the apparent pyruvate-to-lactate exchange rate, kPL, …
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NLMech: Implementation of Finite Difference/Meshfree Discretization of Nonlocal Fracture Models
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Modeling and Simulation of Vascular Tumors Embedded in Evolving Capillary Networks
In this work, we present a coupled 3D–1D model of solid tumor growth within a dynamically changing vascular network to facilitate …
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Biologically-Based Mathematical Modeling of Tumor Vasculature and Angiogenesis via Time-Resolved Imaging Data
This work considers the nodal finite element approximation of peridynamics, in which the nodal displacements satisfy the peridynamics …
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