Research & Projects
The research and projects presented on this page primarily stem from my doctoral work at the Indian Institute of Technology Roorkee. While I have been involved in a variety of programming and engineering projects at different stages of my academic journey, this page focuses on contributions that form a coherent body of research in computational mechanics and computer-aided engineering (CAE).
My doctoral research lies at the intersection of finite element analysis (FEA), isogeometric analysis (IGA), topology optimization (TO), and adaptive mesh refinement (AMR). Within this broad scope, I have developed numerical methodologies and software implementations aimed at improving the accuracy, efficiency, and robustness of structural analysis and optimization workflows. The projects listed below provide a representative overview of these contributions.
Theme 1: Numerical methods in structural mechanics
Finite element analysis
Finite element methods
Development of FEA subroutines for axial and planar structural analysis.
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Isogeometric analysis
Adaptivity in IGA
Adaptivity
Reduction in CPU requirements and analysis time through adaptive mesh refinement algorithms.
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Scientific machine learning (Ongoing)
Theme 2: Computer-Aided Engineering
Unified & Efficient Design–Analysis–Optimization with IGA & AMR
Unified & Efficient DAO with IGA & AMR
Development of a continuity-preserving design–analysis–optimization cycle using isogeometric analysis coupled with adaptive mesh refinement.
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FALCON - GUI for IGA
GUI-based Framework for IGA
A standalone graphical interface enabling geometry creation, analysis, and post-processing using isogeometric methods.
Explore →Theme 3: Topology Optimization
Isogeometric Topology Optimization
IGA-TOPO
Density-based topology optimization frameworks formulated directly on spline-based discretizations.
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Plate and Shell Optimization using Multi-Patch IGA
Plate and Shell Optimization using Multi-Patch IGA
Continuity-aware topology optimization of plate and shell structures using multi-patch isogeometric formulations.
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Phase-Field Topology Optimization (Ongoing)
Phase-Field Topology Optimization (WIP)
Diffuse-interface topology optimization formulations using adaptive phase-field methods for robust structural design.
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Auxetic Topology Optimization (Ongoing)
Auxetic Topology Optimization (WIP)
Numerical investigation of topology optimization strategies for designing auxetic metamaterials with negative Poisson’s ratio.
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