5 papers
Quasi-optimality of adaptive FEM for optimal control problems involving Dirac measures governed by biharmonic equation
Asha K. Dond, Neela Nataraj, Subham Nayak
This article establishes the quasi-optimality of adaptive nonconforming finite element methods for a class of optimal control problems involving Dirac measures governed by the biha…
Unconditionally stable and energy conserving discretization of the dynamic von Kármán equations
Carsten Carstensen, Neela Nataraj, Ricardo Ruiz-Baier +1
A fully discrete approximation of the dynamic von Kármán equations combines nonconforming Morley finite element methods for spatial discretization with an energy conserving modifie…
Hybrid-high order method in space and implicit schemes in time for the biharmonic wave equation
Raman Kumar, Neela Nataraj, Aamir Yousuf
This article presents the numerical analysis for the biharmonic wave equation with clamped boundary conditions employing two variants of the {hybrid high-order} method for the spac…
Semi and fully-discrete analysis of lowest-order nonstandard finite element methods for the biharmonic wave problem
Neela Nataraj, Ricardo Ruiz-Baier, Aamir Yousuf
This paper discusses lowest-order nonstandard finite element methods for space discretization and explicit and implicit schemes for time discretization of the biharmonic wave equat…
Unified numerical analysis for thermoelastic diffusion and thermo-poroelasticity of thin plates
Neela Nataraj, Ricardo Ruiz-Baier, Aamir Yousuf
We investigate a coupled hyperbolic-parabolic system modeling thermoelastic diffusion (resp. thermo-poroelasticity) in plates, consisting of a fourth-order hyperbolic partial diffe…