11 citations · 12 across the 9 of their papers we have counts for
10 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…
A posteriori error estimates for a modified Morley FEM
A. K. Dond, D. Gallistl, S. Nayak +1
Residual-based a~posteriori error estimators are derived for the modified Morley FEM, proposed by Wang, Xu, Hu [J. Comput. Math, 24(2), 2006], for the singularly perturbed biharmon…
Stochastic effects on solution landscapes for nematic liquid crystals
James Luke Dalby, Apala Majumdar, Yue Wu +1
We study the effects of additive and multiplicative noise on the solution landscape of nematic liquid crystals confined to a square domain within the Landau-de Gennes framework, as…
Quasi-Optimality of AFEM for Distributed Optimal Control Problems of Stokes Equations: An Axiomatic Framework
Tooba M. Shaikh, Asha K. Dond
This paper focuses on the quasi-optimality of an adaptive nonconforming finite element method for a distributed optimal control problem governed by the Stokes equation. The nonconf…
Existence and uniqueness of weak solutions to the Smoluchowski coagulation equation with source and sedimentation
Prasanta Kumar Barik, Asha K. Dond, Rakesh Kumar
This article is devoted to a generalized version of Smoluchowski's coagulation equation. This model describes the time evolution of a system of aggregating particles under the effe…
An error analysis of discontinuous finite element methods for the optimal control problems governed by Stokes equation
Asha K Dond, Thirupathi Gudi, Ramesh Ch. Sau
In this paper, an abstract framework for the error analysis of discontinuous finite element method is developed for the distributed and Neumann boundary control problems governed b…
A posteriori error analysis for a distributed optimal control problem governed by the von Kármán equations
Sudipto Chowdhury, Asha K. Dond, Neela Nataraj +1
This article discusses numerical analysis of the distributed optimal control problem governed by the von Kármán equations defined on a polygonal domain in . The state…
Global existence of solutions to Keller-Segel chemotaxis system with heterogeneous logistic source and nonlinear secretion
Gurusamy Arumugam, Asha K. Dond, André H. Erhardt
We study the following Keller-Segel chemotaxis system with logistic source and nonlinear secretion: \begin{align*} u_t=Δu- \nabla\cdot(u\nabla v)+κ(|x|)u-μ(|x|)u^p\quad\text{and}\q…
Convergence of an adaptive mixed finite element method for general second order linear elliptic problems
Asha K. Dond, Neela Nataraj, Amiya K. Pani
The convergence of an adaptive mixed finite element method for general second order linear elliptic problems defined on simply connected bounded polygonal domains is analyzed in th…
Error analysis of nonconforming and mixed FEMs for second-order linear non-selfadjoint and indefinite elliptic problems
Carsten Carstensen, Asha K. Dond, Neela Nataraj +1
The state-of-the art proof of a global inf-sup condition on mixed finite element schemes does not allow for an analysis of truly indefinite, second-order linear elliptic PDEs. This…