Publications

Prashant K. Jha (2025). From Theory to Application: A Practical Introduction to Neural Operators in Scientific Computing. arXiv.

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Prashant K. Jha, Patrick Diehl, Robert Lipton (2024). Nodal finite element approximation of peridynamics. CMAME.

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Prashant K. Jha (2023). Residual-based error corrector operator to enhance accuracy and reliability of neural operator surrogates of nonlinear variational boundary-value problems. CMAME.

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Prashant K. Jha, Timothy Breitzman, Kaushik Dayal (2023). Discrete-to-Continuum Limits of Long-Range Electrical Interactions in Nanostructures. ARMA.

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Lianghao Cao, Thomas O'Leary-Roseberry, Prashant K. Jha, J. Tinsley Oden, Omar Ghattas (2023). Residual-Based Error Correction for Neural Operator Accelerated Infinite-Dimensional Bayesian Inverse Problems. JCP.

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Prashant K. Jha, J. Tinsley Oden (2022). Goal-Oriented A-Posteriori Estimation of Model Error as an Aid to Parameter Estimation. JCP.

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Prashant K. Jha, Jason Marshall, Jaroslaw Knap, Kaushik Dayal (2022). Atomic-to-Continuum Multiscale Modeling of Defects in Crystals with Nonlocal Electrostatic Interactions. JAM.

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Prashant K. Jha, Christopher Walker, Drew Mitchell, J. Tinsley Oden, Dawid Schellingerhout, James A. Bankson, David T. Fuentes (2022). Mutual-Information Based Optimal Experimental Design for Hyperpolarized 13C-Pyruvate MRI. Scientific Reports.

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Prashant K. Jha, Patrick Diehl (2021). NLMech: Implementation of Finite Difference/Meshfree Discretization of Nonlocal Fracture Models. JOSS.

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Pranav Gadikar, Patrick Diehl, Prashant K. Jha (2021). Load Balancing for Distributed Nonlocal Models Within Asynchronous Many-Task Systems. 2021 IEEE International Parallel and Distributed Processing Symposium Workshops (IPDPSW).

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Marvin Fritz, Prashant K. Jha, Tobias Köppl, J Tinsley Oden, Andreas Wagner, Barbara Wohlmuth (2021). Modeling and Simulation of Vascular Tumors Embedded in Evolving Capillary Networks. CMAME.

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David A. Hormuth II, Caleb M. Phillips, Chengyue Wu, Ernesto A. B. F. Lima, Guillermo Lorenzo, Prashant K. Jha, Angela M. Jarrett, J. Tinsley Oden, Thomas E. Yankeelov (2021). Biologically-Based Mathematical Modeling of Tumor Vasculature and Angiogenesis via Time-Resolved Imaging Data. Cancers.

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Prashant K. Jha, Prathamesh S Desai, Debdeep Bhattacharya, Robert P Lipton (2021). Peridynamics-Based Discrete Element Method (PeriDEM) Model of Granular Systems Involving Breakage of Arbitrarily Shaped Particles. JMPS.

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Marvin Fritz, Prashant K. Jha, Tobias Köppl, J Tinsley Oden, Barbara Wohlmuth (2021). Analysis of a New Multispecies Tumor Growth Model Coupling 3D Phase-Fields With a 1D Vascular Network. Nonlinear Analysis: Real World Applications.

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Robert Lipton, Prashant K. Jha (2021). Nonlocal Elastodynamics and Fracture. NoDEA.

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Prashant K. Jha, Robert Lipton (2021). Finite Element Approximation of Nonlocal Dynamic Fracture Models. DCDSB.

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Patrick Diehl, Prashant K. Jha, Hartmut Kaiser, Robert Lipton, Martin Levesque (2020). An Asynchronous and Task-Based Implementation of Peridynamics Utilizing HPX—the C++ Standard Library for Parallelism and Concurrency. SN Applied Sciences.

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Prashant K. Jha, Robert Lipton (2020). Kinetic Relations and Local Energy Balance for LEFM from a Nonlocal Peridynamic Model. IJFrac.

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Prashant K. Jha, Lianghao Cao, J Tinsley Oden (2020). Bayesian-Based Predictions of COVID-19 Evolution in Texas Using Multispecies Mixture-Theoretic Continuum Models. Computational Mechanics.

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J Tinsley Oden, Prashant K. Jha, Lianghao Cao, Taemin Heo, Jing Hu, Mathew Hu, Jonathan Kelley, Jaime D Mora Paz, Cyrus Neary, Akhil Potla, Others (2020). Oden Institute REPORT 20-10. Oden Institute Report.

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Prashant K. Jha, Robert Lipton (2020). Finite Element Convergence for State-Based Peridynamic Fracture Models. CAMC.

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Robert Lipton, Richard B Lehoucq, Prashant K. Jha (2019). Complex Fracture Nucleation and Evolution With Nonlocal Elastodynamics. JPer.

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Prashant K. Jha, Robert Lipton (2019). Numerical Convergence of Finite Difference Approximations for State-Based Peridynamic Fracture Models. CMAME.

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Prashant K. Jha, Robert Lipton (2019). Well-Posed Nonlinear Nonlocal Fracture Models Associated with Double-Well Potentials. Handbook of Nonlocal Continuum Mechanics for Materials and Structures.

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Prashant K. Jha, Robert Lipton (2019). Finite Differences and Finite Elements in Nonlocal Fracture Modeling: A Priori Convergence Rates. Handbook of Nonlocal Continuum Mechanics for Materials and Structures.

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Robert Lipton, Eyad Said, Prashant K. Jha (2019). Dynamic Damage Propagation with Memory: A State-Based Model. *Handbook of Nonlocal Continuum Mechanics for Materials and Structures.

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Robert Lipton, Eyad Said, Prashant K. Jha (2019). Dynamic Brittle Fracture from Nonlocal Double-Well Potentials: A State-Based Model. *Handbook of Nonlocal Continuum Mechanics for Materials and Structures.

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Robert Lipton, Eyad Said, Prashant K. Jha (2018). Free Damage Propagation With Memory. JElast.

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Prashant K. Jha, Robert Lipton (2018). Numerical Convergence of Nonlinear Nonlocal Continuum Models to Local Elastodynamics. IJNME.

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Prashant K. Jha, Robert Lipton (2018). Numerical Analysis of Nonlocal Fracture Models in Holder Space. SINUM.

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Prashant K. Jha (2016). Coarse Graining of Electric Field Interactions With Materials.

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