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Nonconforming virtual elements for the biharmonic equation with Morley degrees of freedom on polygonal meshes
Carsten Carstensen, Rekha Khot, Amiya K. Pani
The lowest-order nonconforming virtual element extends the Morley triangular element to polygons for the approximation of the weak solution to the biharmonic equ…
Stability of mixed FEMs for non-selfadjoint indefinite second-order linear elliptic PDEs
C. Carstensen, Neela Nataraj, Amiya K. Pani
For a well-posed non-selfadjoint indefinite second-order linear elliptic PDE with general coefficients in and symmetric and uniformly positive d…
Negative norm estimates and superconvergence results in Galerkin method for strongly nonlinear parabolic problems
Ambit Kumar Pany, Morrakot Khebchareon, Amiya K. Pani
The conforming finite element Galerkin method is applied to discretise in the spatial direction for a class of strongly nonlinear parabolic problems. Using elliptic projection of t…
Numerical analysis of a new formulation for the Oseen equations in terms of vorticity and Bernoulli pressure
Veronica Anaya, David Mora, Amiya K. Pani +1
A variational formulation is introduced for the Oseen equations written in terms of vor\-ti\-city and Bernoulli pressure. The velocity is fully decoupled using the momentum balance…
Morley Finite Element Method for the von Kármán Obstacle Problem
Carsten Carstensen, Sharat Gaddam, Neela Nataraj +2
This paper focusses on the von Kármán equations for the moderately large deformation of a very thin plate with the convex obstacle constraint leading to a coupled system of semilin…
A mixed finite element scheme for biharmonic equation with variable coefficient and von Kármán equations
Huangxin Chen, Amiya K. Pani, Weifeng Qiu
In this paper, a new mixed finite element scheme using element-wise stabilization is introduced for the biharmonic equation with variable coefficient on Lipschitz polyhedral domain…