Hello, I'm Rajat. I am currently working as an Research Scientist at Siemens. I graduated with a Ph.D. in the field of Computational Mechanics from Carnegie Mellon University (CMU). My research focused on numerical analysis, material science, and scientific software development.
I completed my high school from Kids Corner Senior Secondary School, Firozabad in May 2008.
This is a list of several of my projects over the last couple years!
June'15 - Feb'19 Ph.D. Dissertation at CMU
This research focused on developing a massively parallel finite element based theoretical-computational framework for finite deformation MFDM theory to study plastic deformation in materials; Used: MPI, Deal.ii, PetSc, and P4est.
May'13 - Oct'14 Master's Dissertation at IITK
This research focused on analyzing the morphological evolution of arbitrarily shaped precipitates embedded coherently in a matrix. I developed a C++ code that used Extended Finite Element Method (XFEM) coupled with PDE based narrow band Level Set Method (LSM) to capture motion of the interface as the precipitate evolves.
Aug'15 - Dec'15 Course Project
I developed a C++ code employing finite element method (FEM) to analyze elasto-plastic deformation of a 2D plate under plane strain conditions using J2 plasticity theory along-with non-linear isotropic hardening.
Mar'14 - Apr'14 Course Project
Modeled opening of a crack in a finite 2D plate under uniaxial tension using Extended Finite Element Method (XFEM) and Linear Elastic Fracture Mechanics (LEFM).
Jan'13 - Apr'13 Course Project
Examined transitions in equilibrium shape of a precipitate, embedded coherently in a matrix, for isotropic systems under plane-strain conditions, as a function of various parameters: size of particle, mismatch, external stress, elastic and interfacial energies.
Mar'13 - Apr'13 Course Project
Developed an FEM code to simulate beam bending using Total Lagrangian formulation with von Karman strains and compared various mathematical iterative schemes (Picard's method, Newton-Raphson method, Arc Length method) to obtain solution to nonlinear equations.
Nov'17 - Dec'17 Independent Project
Implemented Discontinuous Galerkin Finite element method to solve a steady-state advection equation.
Apr'18 - Aug'18 Independent Project
Implemented Local Discontinuous Galerkin (LDG) Method to solve an unsteady convection-diffusion equation.
Jan'18 - Mar'18 Independent Project
Learned and Implemented Isogeometric Analysis to solve Laplace equation in a 2d domain.
Oct'17 Independent Project
Employed Automatic Differentiation (Sacado) to solve a non-linear minimal surface equation.
Jul'17 - Aug'17 Independent Project
Implemented Adaptive Mesh Refinement (AMR) to perform multiple levels of mesh refinement/coarsening to resolve the interfaces between different materials in the mesh. Used it to get the outlines of geographic map of India starting from a png image.