Publications

(2022). Goal-Oriented A-Posteriori Estimation of Model Error as an Aid to Parameter Estimation. Under review.

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(2021). Modeling and simulation of vascular tumors embedded in evolving capillary networks. Computer Methods in Applied Mechanics and Engineering.

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(2021). Biologically-based mathematical modeling of tumor vasculature and angiogenesis via time-resolved imaging data. Cancers.

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(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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(2020). 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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(2020). 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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(2020). Nonlocal elastodynamics and fracture. Nonlinear Differential Equations and Applications NoDEA.

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(2020). Discrete-to-Continuum Limits of Long-Range Electrical Interactions in Nanostructures. Under review.

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(2020). Oden Institute REPORT 20-10.

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(2020). Finite element approximation of nonlocal dynamic fracture models. Discrete & Continuous Dynamical Systems-B.

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(2020). Kinetic relations and local energy balance for LEFM from a nonlocal peridynamic model. International Journal of Fracture.

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(2020). Finite element convergence for state-based peridynamic fracture models. Communications on Applied Mathematics and Computation.

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(2019). Numerical convergence of finite difference approximations for state based peridynamic fracture models. Computer Methods in Applied Mechanics and Engineering.

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(2019). Complex fracture nucleation and evolution with nonlocal elastodynamics. Journal of Peridynamics and Nonlocal Modeling.

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(2018). 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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(2018). Numerical convergence of nonlinear nonlocal continuum models to local elastodynamics. International Journal for Numerical Methods in Engineering.

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(2018). 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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(2018). Well-Posed Nonlinear Nonlocal Fracture Models Associated with Double-Well Potentials. Handbook of Nonlocal Continuum Mechanics for Materials and Structures.

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(2018). Numerical analysis of nonlocal fracture models in Holder space. SIAM Journal on Numerical Analysis.

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(2018). 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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(2018). Free damage propagation with memory. Journal of Elasticity.

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(2018). 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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