Into Mechanics: Investigating Hyperelasticity
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We consider hyperelasticity equations and investigate well-posedness for St-Venant Kirchhoff materials and the challenges of Newton’s method as a nonlinear solver.
Blog
Here are some blog articles that I have written to motivate novel and existing ideas. My fundamental target is always clarity of exposition, reproducibility of results, and bridging theory and application. If you have a comment or any questions, please send me an email.Effect of Monotonicity of Numerical Schemes for the Heat Equation on Average Measured Temperature
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We consider a 3 dimensional physical scenario to simulate a heating object and compute the average temperature over its boundary for a monotone and non-monotone scheme.
On the Cause of Spurious Oscillations in Stable Numerical Methods
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We explore the cause behind spurious numerical oscillations when solving the heat equation and develop a robust algorithm using appropriate numerical quadrature.
Convergence of Solvers and the Importance of Well-Posedness
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We solve the Poisson equation by setting up a black-box solver and examine the implications of convergence for a particular scenario.
Neural Networks I: First Network from Scratch
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We describe the framework of neural networks and build an example from scratch using NumPy.
Accelerating Convergence of Newton’s Method for Degenerate Functions
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We explore the application of Newton’s method when solving the Butler-Volmer equation, and ways to reduce the number of iterations taken by the solver.
An Introduction to Kalman Filters Using the Heat Equation
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We present a basic application of Kalman filters in measuring the temperature of a heating object.
A lot of effort goes into each post, so if any post helps you in any way please consider citing it using the reference
@misc{VohraNaren,
author = {Vohra, Naren},
title = {Blog: Title of post},
url = {https://nvohra0016.github.io/talks/title-of-particular-post},
year = {mm/yyyy},
}