35 citations · 148 across the 16 of their papers we have counts for
18 papers
Mutual-Information Based Optimal Experimental Design for Hyperpolarized C-Pyruvate MRI
Prashant K. Jha, Christopher Walker, Drew Mitchell +4
A key parameter of interest recovered from hyperpolarized (HP) MRI measurements is the apparent pyruvate-to-lactate exchange rate, , for measuring tumor metabolism. This ma…
Goal-Oriented A-Posteriori Estimation of Model Error as an Aid to Parameter Estimation
Prashant K. Jha, J. Tinsley Oden
In this work, a Bayesian model calibration framework is presented that utilizes goal-oriented a-posterior error estimates in quantities of interest (QoIs) for classes of high-fidel…
Load balancing for distributed nonlocal models within asynchronous many-task systems
Pranav Gadikar, Patrick Diehl, Prashant K. Jha
In this work, we consider the challenges of developing a distributed solver for models based on nonlocal interactions. In nonlocal models, in contrast to the local model, such as t…
Modeling and simulation of vascular tumors embedded in evolving capillary networks
Marvin Fritz, Prashant K. Jha, Tobias Köppl +3
In this work, we present a coupled 3D-1D model of solid tumor growth within a dynamically changing vascular network to facilitate realistic simulations of angiogenesis. Additionall…
Peridynamics-based discrete element method (PeriDEM) model of granular systems involving breakage of arbitrarily shaped particles
Prashant K. Jha, Prathamesh S. Desai, Debdeep Bhattacharya +1
Usage, manipulation, transport, delivery, and mixing of granular or particulate media, comprised of spherical or polyhedral particles, is commonly encountered in industrial sectors…
Analysis of a new multispecies tumor growth model coupling 3D phase-fields with a 1D vascular network
Marvin Fritz, Prashant K. Jha, Tobias Köppl +2
In this work, we present and analyze a mathematical model for tumor growth incorporating ECM erosion, interstitial flow, and the effect of vascular flow and nutrient transport. The…
A kinetic model for qualitative understanding and analysis of the effect of complete lockdown imposed by India for controlling the COVID-19 disease spread by the SARS-CoV-2 virus
Raj Kishore, Prashant Kumar Jha, Shreeja Das +6
The present ongoing global pandemic caused by SARS-CoV-2 virus is creating havoc across the world. The absence of any vaccine as well as any definitive drug to cure, has made the s…
Nonlocal elastodynamics and fracture
Robert P. Lipton, Prashant K. Jha
A nonlocal field theory of peridynamic type is applied to model the brittle fracture problem. The elastic fields obtained from the nonlocal model are shown to converge in the limit…
A New Graphical Device and Related Tests for the Shape of Non-parametric Regression Function
Subhra Sankar Dhar, Prashant Jha, Mohammad Arshad Rahman +1
We consider a non-parametric regression model and propose a novel graphical device to check whether the -th () derivative of the regression functio…
The Trimmed Mean in Non-parametric Regression Function Estimation
Subhra Sankar Dhar, Prashant Jha, Prabrisha Rakhshit
This article studies a trimmed version of the Nadaraya-Watson estimator to estimate the unknown non-parametric regression function. The characterization of the estimator through mi…
On Variable Screening in Multiple Nonparametric Regression Model
Subhra Sankar Dhar, Prashant Jha, Aranyak Acharyya
In this article, we study the problem of variable screening in multiple nonparametric regression model. The proposed methodology is based on the fact that the partial derivative of…
Classic dynamic fracture recovered as the limit of a nonlocal peridynamic model: The single edge notch in tension
Robert Lipton, Prashant K. Jha
A simple nonlocal field theory of peridynamic type is applied to model brittle fracture. The fracture evolution is shown to converge in the limit of vanishing nonlocality to classi…
Finite element convergence for state-based peridynamic fracture models
Prashant K. Jha, Robert Lipton
We establish the a-priori convergence rate for finite element approximations of a class of nonlocal nonlinear fracture models. We consider state based peridynamic models where the…
An asynchronous and task-based implementation of Peridynamics utilizing HPX -- the C++ standard library for parallelism and concurrency
Patrick Diehl, Prashant K. Jha, Hartmut Kaiser +2
On modern supercomputers, asynchronous many task systems are emerging to address the new architecture of computational nodes. Through this shift of increasing cores per node, a new…
Numerical convergence of finite difference approximations for state based peridynamic fracture models
Prashant K. Jha, Robert Lipton
In this work, we study the finite difference approximation for a class of nonlocal fracture models. The nonlocal model is initially elastic but beyond a critical strain the materia…
Finite element approximation of nonlocal fracture models
Prashant K. Jha, Robert Lipton
We consider nonlocal nonlinear potentials and estimate the rate of convergence of time stepping schemes to the peridynamic equation of motion. We begin by establishing the existenc…
Numerical analysis of nonlocal fracture models in Hölder space
Prashant K. Jha, Robert Lipton
In this work, we calculate the convergence rate of the finite difference approximation for a class of nonlocal fracture models. We consider two point force interactions characteriz…
Complex fracture nucleation and evolution with nonlocal elastodynamics
Robert Lipton, Stewart Silling, Richard Lehoucq
A mechanical model is introduced for predicting the initiation and evolution of complex fracture patterns without the need for a damage variable or law. The model, a continuum vari…