Virtual element method for semilinear hyperbolic problems on polygonal meshes. - Dibyendu Adak; E. Natarajan; Sarvesh Kumar (Int. J. Comput. Math., 2019)

Virtual element methods for nonlocal parabolic problems on general type of meshes. - Dibyendu Adak; S. Natarajan 002 (Adv. Comput. Math., 2020)

Virtual element method for a nonlocal elliptic problem of Kirchhoff type on polygonal meshes. - Dibyendu Adak; Sundararajan Natarajan (Comput. Math. Appl., 2020)

Virtual element method for semilinear sine-Gordon equation over polygonal mesh using product approximation technique. - Dibyendu Adak; Sundararajan Natarajan (Math. Comput. Simul., 2020)

On the H1 Conforming Virtual Element Method for Time Dependent Stokes Equation. - Dibyendu Adak; Sundararajan Natarajan (Math. Comput. Sci., 2021)

Virtual element approximation of two-dimensional parabolic variational inequalities. - Dibyendu Adak; Gianmarco Manzini; Sundararajan Natarajan (Comput. Math. Appl., 2022)

VEM approximation for the Stokes eigenvalue problem: a priori and a posteriori error analysis. - Dibyendu Adak; Felipe Lepe; Gonzalo Rivera (CoRR, 2022)

The Morley-type virtual element method for the Navier-Stokes equations in stream-function form on general meshes. - Dibyendu Adak; David Mora; Alberth Silgado (CoRR, 2022)

Convergence Analysis of Virtual Element Method for Nonlinear Nonlocal Dynamic Plate Equation. - Dibyendu Adak; David Mora; Sundararajan Natarajan (J. Sci. Comput., 2022)

A Morley-type virtual element approximation for a wind-driven ocean circulation model on polygonal meshes. - Dibyendu Adak; David Mora; Alberth Silgado (J. Comput. Appl. Math., 2023)

Nonconforming virtual element discretization for the transmission eigenvalue problem. - Dibyendu Adak; David Mora; Iván Velásquez (Comput. Math. Appl., 2023)

Tensor Network Space-Time Spectral Collocation Method for Time Dependent Convection-Diffusion-Reaction Equations. - Dibyendu Adak; Duc P. Truong; Gianmarco Manzini; Kim Ø. Rasmussen; Boian S. Alexandrov (CoRR, 2024)

Space-Time Spectral Element Tensor Network Approach for Time Dependent Convection Diffusion Reaction Equation with Variable Coefficients. - Dibyendu Adak; Duc P. Truong; Radoslav G. Vuchkov; Saibal De; Derek DeSantis; Nathan V. Roberts; Kim Ø. Rasmussen; Boian S. Alexandrov (CoRR, 2024)

A noncoforming virtual element approximation for the Oseen eigenvalue problem. - Dibyendu Adak; Felipe Lepe; Gonzalo Rivera (CoRR, 2024)

Design and Validation of a Microstrip Log-Periodic Feedline-Based Filter for Microwave Imaging of Rebar. - Amartya Paul; Gaurav Bhargava; Dibyendu Adak; Subhrajit Dutta; Shubhankar Majumdar (IEEE Trans. Instrum. Meas., 2024)

A C1-Conforming Arbitrary-Order Two-Dimensional Virtual Element Method for the Fourth-Order Phase-Field Equation. - Dibyendu Adak; Gianmarco Manzini; Hashem M. Mourad; JeeYeon N. Plohr; Lampros Svolos (J. Sci. Comput., 2024)

Nonconforming virtual element method for the Schrödinger eigenvalue problem. - Dibyendu Adak; Gianmarco Manzini; Jesus Vellojin (Comput. Math. Appl., 2025)

Tensor Network Space-Time Spectral Collocation Method for Solving the Nonlinear Convection Diffusion Equation. - Dibyendu Adak; Mustafa Engin Danis; Duc P. Truong; Kim Ø. Rasmussen; Boian S. Alexandrov (J. Sci. Comput., 2025)