Welcome to my research website.

My name is Balaje Kalyanaraman and I am a postdoctoral fellow at Umeå University, Sweden. I received my PhD from the University of Newcastle, Australia in August 2022. I did my M.Sc (Hons) Mathematics and B.E (Hons) Mechanical Engineering from BITS Pilani - Goa Campus. My interests lie in numerical methods to solve partial differential equations arising in real–life applications. You can read more about my work in my blog.

My 3 Recent Posts

• Shape from Shading - Revisited

• Virtual element solution with Gridap

• Wrapping up GSoC

My Recent Projects

• Multiscale finite element method: I am currently working on multiscale finite element methods to solve boundary value problems with highly oscillatory/random coefficients. Some examples in 1D are shown below.

You can find more about this work on my Github Repository.

My Past Projects

• GSoC 2021: Google Summer of Code 2021 with NumFOCUS

  Selected to be a part of GSoC 2021 with Gridap.jl and NumFOCUS. I will be working under Oriol Colomés, Santiago Badia and Eric Neiva during the program. Read more here or click the image!

• iceFEM@github: A FreeFem based open-source package to simulate a variety of linear hydro-elasticity problems.

  The algorithms are based on the papers

  Kalyanaraman, B., Meylan, M. H., Bennetts, L. G., & Lamichhane, B. P. (2020). A coupled fluid-elasticity model for the wave forcing of an ice-shelf. Journal of Fluids and Structures, 97, 103074.

  Ilyas, M., Meylan, M. H., Lamichhane, B., & Bennetts, L. G. (2018). Time-domain and modal response of ice shelves to wave forcing using the finite element method. Journal of Fluids and Structures, 80, 113–131.

  This is joint work with my supervisors:

  • Mike Meylan, University of Newcastle.
  • Bishnu Lamichhane, University of Newcastle.
  • Luke Bennetts, University of Adelaide.