Talks

2021

Model selection and optimal experiment design for HP MRI experiments

Hyperpolarized (HP) MR imaging provides enhanced insights into the tissue’s metabolism and a new way to identify the tumor …

Phase Field Models of the Growth of Tumors Embedded in an Evolving Vascular Network: Dynamic 1D-3D Models of Angiogenesis

In this talk, we present a coupled 3D-1D model of tumor growth within a dynamically changing vascular network to facilitate realistic …

Analysis and application of peridynamics to fracture in solids and granular media

In this talk, we will present our recent work on peridynamics and its application. We consider a bond-based peridynamics with a …

Analysis and application of peridynamics to fracture in solids and granular media

In this talk, we will present our recent work on peridynamics and its application. We consider a bond-based peridynamics with a …

2020

A mechanistic tumor growth model for HP MRI

A mechanistic tumor growth model for HP MRI

2019

Numerical fracture experiments using nonlinear nonlocal models

In this talk I will focus on the modelling of fracture in the continuum solids using nonlocal interaction. This is referred to as …

Numerical fracture experiments using nonlinear nonlocal models

We consider a nonlinear peridynamic model and study the fracture dynamics in materials. The model is regularized fracture model and is …

Convergence results for finite element and finite difference approximation of nonlocal fracture

We show apriori convergence of the nonlinear Peridynamic models. The model is shown to be well-posed in Hölder space and Sobolev H^2 …

Modelling fracture in solids using nonlocal interaction: A brief overview of Peridynamics

In this talk I will focus on the modelling of fracture in the continuum solids using nonlocal interaction. This is referred to as …

2018

Convergence results for finite element and finite difference approximation of nonlocal fracture models

We consider a nonlocal fracture model and study the convergence properties of the finite element and the finite difference …

Free damage propagation with memory

We introduce a simple model for free damage propagation based on non-local potentials. The model is developed using a state based …

Well-posedness of nonlocal fracture models and apriori error estimates of numerical approximations

In this talk, we present our new results on the numerical analysis of nonlocal fracture models. We begin by giving a brief introduction …

Finite element approximation of nonlocal fracture models

In this talk, we present our new results on the numerical analysis of nonlocal fracture models. We begin by giving a brief introduction …

2017

Numerical Analysis of Nonlocal Fracture Models

In this work, we present the numerical analysis of a bond-based peridynamic model. Model is nonlinear and is characterized by two …

Numerical Analysis of Nonlocal Fracture Models

In this talk, we present the numerical analysis of a bond-based peridynamic model. Model is nonlinear and is characterized by two …

Coarse Graining of Electric Field Interactions with Materials

In this work, we present our continuum limit calculations of electrical interactions in ionic crystals and dielectrics. Continuum limit …

2016

Coarse Graining of Electric Field Interactions with Materials

In this work, we present our continuum limit calculations of electrical interactions in ionic crystals and dielectrics. Continuum limit …

Coarse Graining of Electric Field Interactions with Materials

In this work, we present our continuum limit calculations of electrical interactions in ionic crystals and dielectrics. Continuum limit …