2 citations · 2 across the 5 of their papers we have counts for
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The Morley-type virtual element method for the Navier-Stokes equations in stream-function form on general meshes
D. Adak, D. Mora, A. Silgado
The nonconforming Morley-type virtual element method for the incompressible Navier-Stokes equations formulated in terms of the stream-function on simply connected polygonal domains…
VEM approximation for the Stokes eigenvalue problem: a priori and a posteriori error analysis
Dibyendu Adak, Felipe Lepe, Gonzalo Rivera
The present paper proposes an inf-sup stable divergence free virtual element method and associated a priori, and a posteriori error analysis to approximate the eigenvalues and eige…
Convergence Analysis of Virtual Element Method for Nonlinear Nonlocal Dynamic Plate Equation
D. Adak, D. Mora, S. Natarajan
In this article, we have considered a nonlinear nonlocal time dependent fourth order equation demonstrating the deformation of a thin and narrow rectangular plate. We propose …
Virtual element approximation of two-dimensional parabolic variational inequalities
Dibyendu Adak, Gianmarco Manzini, Sundararajan Natarajan
We design a virtual element method for the numerical treatment of the two-dimensional parabolic variational inequality problem on unstructured polygonal meshes. Due to the expected…
Virtual element method for semilinear sine-Gordon equation over polygonal mesh using product approximation technique
Dibyendu Adak, Sundararajan Natarajan
In this paper, we employ the linear virtual element spaces to discretize the semilinear sine-Gordon equation in two dimensions. The salient features of the virtual element method (…