An Analysis of Air Pollutant Transport
Computational modelling of pollutant transport using conservative cell-centered finite element scheme.
Posts by Collection
portfolio
Profitability of Batteries Performing Arbitrage in Wholesale Markets with Cyclic Degradation
Linear approximation of cyclic degradation of batteries and their use in estimating arbitrage profits.
Thermo-Hydro-Mechanical Analysis of Permafrost.
Mathematical analysis of the coupling governing subsidence of thawing permafrost by using Biot’s poroelasticity equations and the Stefan problem.
Surface-Subsurface Flow Modeling
Well balanced discretization of shallow water equations and their coupling with subsurface flow.
Biofilm-Nutrient Dynamics
Dependence of the active layer on biofim-nutrient dynamics.
publications
Coupled flow and biomass-nutrient growth at pore-scale with permeable biofilm, adaptive singularity and multiple species
Published in Mathematical Biosciences and Engineering, 2021
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Heterogeneous Stefan problem and permafrost models with P0-P0 finite elements and fully implicit monolithic solver
Published in Electronic Research Archive, 2022
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Modeling Permafrost: Soil, Ice, and Some Really Hard Mathematics
Published in SIAM News Blog, 2023
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talks
An Introduction to Kalman Filters Using the Heat Equation
Date:
We present a basic application of Kalman filters in measuring the temperature of a heating object.
Accelerating Convergence of Newton’s Method for Degenerate Functions
Date:
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.
Neural Networks I: First Network from Scratch
Date:
We describe the framework of neural networks and build an example from scratch using NumPy.
Convergence of Solvers and the Importance of Well-Posedness
Date:
We solve the Poisson equation by setting up a black-box solver and examine the implications of convergence for a particular scenario.
teaching
Teaching experience 1
Undergraduate course, University 1, Department, 2014
This is a description of a teaching experience. You can use markdown like any other post.
Teaching experience 2
Workshop, University 1, Department, 2015
This is a description of a teaching experience. You can use markdown like any other post.