News

• PML for Elastic Waves: Perfectly Matched Layers (PML) for Elastic Waves

  Worked on the analysis and implementation of the perfectly matched layers for the elastic wave equation in a layered media. The work involved theoretically establishing the stability of the PML model and then numerically solve the governing equations using higher order summation-by-parts (SBP) finite difference methods. An example for a curvilinear domain is shown below:

  This is joint work with

  • Siyang Wang, Umeå University, Sweden,
  • Kenneth Duru, University of Texas at El Paso, USA.

  The results are discussed in this paper:

  Duru, K., Kalyanaraman, B., & Wang, S. (2025). On the stability analysis of the perfectly matched layer for the elastic wave equation in layered media. Journal of Computational Physics, 114268.

• 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.