Sundararajan Natarajan

39 papers Journal 39

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	A Stabilized Virtual Element Framework for the Steady State Boussinesq Equation with Temperature-Dependent Parameters. J. Sci. Comput. Sudheer Mishra, Sundararajan Natarajan, E. Natarajan
2026	J	`jnl`	A conforming virtual element framework for the time-fractional semi-linear reaction-diffusion equation on polygonal meshes. J. Comput. Appl. Math. Zaffar Mehdi Dar, M. Arrutselvi, Chandru Muthusamy, Sundararajan Natarajan, Gianmarco Manzini
2026	J	`jnl`	A higher order pressure-stabilized virtual element formulation for the Stokes-Poisson-Boltzmann equations. CoRR Sudheer Mishra, Sundararajan Natarajan, E. Natarajan, Gianmarco Manzini
2026	J	`jnl`	An adaptive isogeometric analysis framework for two-dimensional steady-state unconfined seepage problems. Adv. Eng. Softw. Chen Wu, Lin Wang, Tiantang Yu, Sundararajan Natarajan
2026	J	`jnl`	Non-invasive characterization of tumors using Bayesian inference and Virtual Element Method. Comput. Methods Programs Biomed. Pugazhenthi Thananjayan, M. Arrutselvi, Sundararajan Natarajan
2025	J	`jnl`	A SUPG-stabilized virtual element method for the Navier-Stokes equation: approximations of branches of non-singular solutions. Adv. Comput. Math. Sudheer Mishra, E. Natarajan, Sundararajan Natarajan
2025	J	`jnl`	A conforming virtual element method for Emden-Fowler model over polygonal meshes. Adv. Comput. Math. Zaffar Mehdi Dar, M. Arrutselvi, Chandru Muthusamy, Sundararajan Natarajan
2025	J	`jnl`	A stabilized virtual element framework for the steady state Boussinesq equation with temperature-dependent parameters. CoRR Sudheer Mishra, Sundararajan Natarajan, E. Natarajan
2025	J	`jnl`	Adaptive 3D multi-patch isogeometric analysis with truncated hierarchical NURBS for complex elasticity. Comput. Math. Appl. Lin Wang, Sundararajan Natarajan, Weihua Fang, Zhanfei Si, Tiantang Yu
2025	J	`jnl`	Eig-PIELM: A Mesh-Free Approach for Efficient Eigen-Analysis with Physics-Informed Extreme Learning Machines. CoRR Rishi Mishra, Smriti, Ganapathy Krishnamurthi, Balaji Srinivasan, Sundararajan Natarajan
2025	J	`jnl`	Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks. CoRR Anirudh Kalyan, Sundararajan Natarajan
2025	J	`jnl`	Polytree-based adaptive bubble-enriched smoothed polygonal finite element method for dual yield structural design. Eng. Comput. Changkye Lee, Phuc L. H. Ho, Sundararajan Natarajan, Canh V. Le, Jurng-Jae Yee
2024	J	`jnl`	A Cartesian mesh approach to embedded interface problems using the virtual element method. J. Comput. Phys. M. Arrutselvi, Sundararajan Natarajan
2024	J	`jnl`	An adaptive multi-patch isogeometric phase-field model for dynamic brittle fracture. Comput. Math. Appl. Zhanfei Si, Tiantang Yu, Hirshikesh, Sundararajan Natarajan
2024	J	`jnl`	On the low frequency flexural band gaps of a metamaterial plate with low porosity. CoRR Chaitanya Morey, Sundararajan Natarajan, Chandramouli Padmanabhan
2023	J	`jnl`	A cell-based smoothed finite-element method for gradient elasticity. Eng. Comput. Changkye Lee, Indra Vir Singh, Sundararajan Natarajan
2023	J	`jnl`	On the fractional transversely isotropic functionally graded nature of soft biological tissues. CoRR Sachin Gunda, Sundararajan Natarajan, Olga Barrera
2023	J	`jnl`	n+1 Integration scheme for polygonal elements using Richardson extrapolation. Math. Comput. Simul. S. Vengatesan, Sundararajan Natarajan, P. V. Jeyakarthikeyan
2022	J	`jnl`	Convergence Analysis of Virtual Element Method for Nonlinear Nonlocal Dynamic Plate Equation. CoRR Dibyendu Adak, David Mora, Sundararajan Natarajan
2022	J	`jnl`	Convergence Analysis of Virtual Element Method for Nonlinear Nonlocal Dynamic Plate Equation. J. Sci. Comput. Dibyendu Adak, David Mora, Sundararajan Natarajan
2022	J	`jnl`	Virtual element approximation of two-dimensional parabolic variational inequalities. Comput. Math. Appl. Dibyendu Adak, Gianmarco Manzini, Sundararajan Natarajan
2022	J	`jnl`	Virtual element method for the quasilinear convection-diffusion-reaction equation on polygonal meshes. Adv. Comput. Math. M. Arrutselvi, E. Natarajan, Sundararajan Natarajan
2021	J	`jnl`	Error estimation for the polygonal finite element method for smooth and singular linear elasticity. Comput. Math. Appl. Octavio A. González-Estrada, Sundararajan Natarajan, Juan José Ródenas, Stéphane P. A. Bordas
2021	J	`jnl`	On the H Math. Comput. Sci. Dibyendu Adak, Sundararajan Natarajan
2021	J	`jnl`	Smoothed-strain approach to topology optimization - a numerical study for optimal control parameters. J. Comput. Des. Eng. Changkye Lee, Sundararajan Natarajan, Seong-Hoon Kee, Jurng-Jae Yee
2021	J	`jnl`	Virtual element approximation of two-dimensional parabolic variational inequalities. CoRR Dibyendu Adak, Gianmarco Manzini, Sundararajan Natarajan
2020	J	`jnl`	Adaptive phase field modelling of crack propagation in orthotropic functionally graded materials. CoRR Hirshikesh, Emilio Martínez-Pañeda, Sundararajan Natarajan
2020	J	`jnl`	Continuum modelling of stress diffusion interactions in an elastoplastic medium in the presence of geometric discontinuity. CoRR Rupesh Kumar Mahendran, Hirshikesh, Ratna Kumar Annabattula, Sundararajan Natarajan
2020	J	`jnl`	On the application of polygonal finite element method for Stokes flow - A comparison between equal order and different order approximation. Comput. Aided Geom. Des. Sundararajan Natarajan
2020	J	`jnl`	Roll-over shape of a prosthetic foot: a finite element evaluation and experimental validation. Medical Biol. Eng. Comput. Thirunindravur Mannan Balaramakrishnan, Sundararajan Natarajan, S. Sujatha
2020	J	`jnl`	Virtual element method for a nonlocal elliptic problem of Kirchhoff type on polygonal meshes. Comput. Math. Appl. Dibyendu Adak, Sundararajan Natarajan
2020	J	`jnl`	Virtual element method for semilinear sine-Gordon equation over polygonal mesh using product approximation technique. Math. Comput. Simul. Dibyendu Adak, Sundararajan Natarajan
2019	J	`jnl`	Phase field modelling of crack propagation in functionally graded materials. CoRR Hirshikesh, Sundararajan Natarajan, Ratna K. Annabattula, Emilio Martínez-Pañeda
2019	J	`jnl`	Virtual element method for semilinear sine-Gordon equation over polygonal mesh using product approximation technique. CoRR Dibyendu Adak, Sundararajan Natarajan
2018	J	`jnl`	Mathematical Modelling and Artificial Intelligence in Luxembourg: Twenty PhD Students to be Trained in Data-Driven Modelling. ERCIM News Stéphane P. A. Bordas, Sundararajan Natarajan, Andreas Zilian
2017	J	`jnl`	Isogeometric analysis of thin Reissner-Mindlin plates and shells: Locking phenomena and generalized local $\bar{B}$ method. CoRR Qingyuan Hu, Yang Xia, Sundararajan Natarajan, Andreas Zilian, Ping Hu, Stéphane P. A. Bordas
2016	J	`jnl`	A combined scheme of edge-based and node-based smoothed finite element methods for Reissner-Mindlin flat shells. Eng. Comput. Son Nguyen-Hoang, Phuc Phung-Van, Sundararajan Natarajan, Hyun-Gyu Kim
2012	J	`jnl`	Efficient recovery-based error estimation for the smoothed finite element method for smooth and singular linear elasticity CoRR Octavio A. González-Estrada, Sundararajan Natarajan, Juan José Ródenas, Hung Nguyen-Xuan, Stéphane P. A. Bordas
2011	J	`jnl`	On the approximation in the smoothed finite element method (SFEM) CoRR Stéphane P. A. Bordas, Sundararajan Natarajan