33 citations · 49 across the 25 of their papers we have counts for
5 papers · 1 filter
Unifying a posteriori error analysis of five piecewise quadratic discretisations for the biharmonic equation
Carsten Carstensen, Benedikt Gräßle, Neela Nataraj
An abstract property (H) is the key to a complete a priori error analysis in the (discrete) energy norm for several nonstandard finite element methods in the recent work [Lowest-or…
A posteriori error control for fourth-order semilinear problems with quadratic nonlinearity
Carsten Carstensen, Benedikt Gräßle, Neela Nataraj
A general a posteriori error analysis applies to five lowest-order finite element methods for two fourth-order semi-linear problems with trilinear non-linearity and a general sourc…
Unified a priori analysis of four second-order FEM for fourth-order quadratic semilinear problems
Carsten Carstensen, Neela Nataraj, Gopikrishnan C. Remesan +1
A unified framework for fourth-order semilinear problems with trilinear nonlinearity and general source allows for quasi-best approximation with lowest-order finite element methods…
Feedback stabilization of parabolic coupled system and its numerical study
Wasim Akram, Debanjana Mitra, Neela Nataraj +1
In the first part of this article, we study feedback stabilization of a parabolic coupled system by using localized interior controls. The system is feedback stabilizable with expo…
Conforming VEM for general second-order elliptic problems with rough data on polygonal meshes and its application to a Poisson inverse source problem
Rekha Khot, Neela Nataraj, Nitesh Verma
This paper focuses on the analysis of conforming virtual element methods for general second-order linear elliptic problems with rough source terms and applies it to a Poisson inver…