Publications

Prashant K Jha, Patrick Diehl, Robert Lipton (2024). Nodal finite element approximation of peridynamics. arXiv Preprint arXiv:2403.05501.

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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. Computer Methods in Applied Mechanics and Engineering.

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Prashant K Jha, Timothy Breitzman, Kaushik Dayal (2023). Discrete-to-Continuum Limits of Long-Range Electrical Interactions in Nanostructures. Archive for Rational Mechanics and Analysis.

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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. Journal of Computational Physics.

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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. Journal of Computational Physics.

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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. Journal of Applied Mechanics.

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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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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. Computer Methods in Applied Mechanics and Engineering.

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

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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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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. Journal of the Mechanics and Physics of Solids.

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Robert P Lipton, Prashant K Jha (2021). Nonlocal Elastodynamics and Fracture. Nonlinear Differential Equations and Applications NoDEA.

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Prashant K Jha, Robert Lipton (2021). Finite Element Approximation of Nonlocal Dynamic Fracture Models. Discrete & Continuous Dynamical Systems-B.

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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 P Lipton (2020). Kinetic Relations and Local Energy Balance for LEFM from a Nonlocal Peridynamic Model. International Journal of Fracture.

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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.

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Prashant K Jha, Robert Lipton (2020). Finite Element Convergence for State-Based Peridynamic Fracture Models. Communications on Applied Mathematics and Computation.

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Robert P Lipton, Richard B Lehoucq, Prashant K Jha (2019). Complex Fracture Nucleation and Evolution With Nonlocal Elastodynamics. Journal of Peridynamics and Nonlocal Modeling.

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Prashant K Jha, Robert Lipton (2019). Numerical Convergence of Finite Difference Approximations for State-Based Peridynamic Fracture Models. Computer Methods in Applied Mechanics and Engineering.

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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. Journal of Elasticity.

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Prashant K Jha, Robert Lipton (2018). Numerical Convergence of Nonlinear Nonlocal Continuum Models to Local Elastodynamics. International Journal for Numerical Methods in Engineering.

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

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

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