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Publications

• A Nonlinear Elimination Preconditioned Inexact Newton Method for Heterogeneous Hyperelasticity

• New Hybridized Mixed Methods for Linear Elasticity and Optimal Multilevel Solvers

• A Nonlinear Elimination Preconditioned Newton's Method with Applications in Arterial Wall Simulation

• Interior Penalty Mixed Finite Element Methods of Any Order in Any Dimension for Linear Elasticity with Strongly Symmetric Stress Tensor

• A mathematical model of aortic aneurysm formation

Talks

• An Analysis of a Schwarz preconditioner for heterogeneous Helmholtz problems

• An Analysis of Nonlinear Elimination Preconditioned Newton's method

• A Nonlinear Elimination Preconditioned Newton’s Method for Hyperelasticity

• A Robust Multilevel Solver for a New Hybridizable Mixed Discretization of Linear Elasticity

• A Hybridizable Mixed Finite Element Method for Planar Linear Elasticity