8 papers
A locking free mixed FEM based on a pure pseudostress based formulation for the elasticity eigenproblem
Arbaz Khan, Felipe Lepe, Jesus Vellojin
We analyze a novel locking-free mixed formulation for the elasticity eigenvalue problem in both two and three dimensions, expressed exclusively in terms of the pseudostress tensor.…
Nitsche-based FEM for the Laplace eigenvalue problem: spectral approximation and a posteriori error analysis
Arbaz Khan, David Mora, Jesus Vellojin
In this paper, we present the numerical analysis of an elliptic eigenvalue problem in which the essential boundary condition is imposed weakly by means of the Nitsche method. The r…
Non-Conforming Structure Preserving Finite Element Method for Doubly Diffusive Flows on Bounded Lipschitz Domains
Jai Tushar, Arbaz Khan, Manil T. Mohan
We study a stationary model of doubly diffusive flows with temperature-dependent viscosity on bounded Lipschitz domains in two and three dimensions. A new well-posedness and regula…
Finite element analysis for a Herrmann pressure formulation of the elastoacoustic problem with variable coefficients
Arbaz Khan, Felipe Lepe, David Mora +2
In two and three dimensions, this study is focused on the numerical analysis of an eigenproblem associated with a fluid-structure model for sloshing and elasto-acoustic vibration.…
Divergence conforming finite element methods for flow-transport coupling with osmotic effects
Arbaz Khan, David Mora, Ricardo RuÃz-Baier +1
We propose a model for the coupling of flow and transport equations with porous membrane-type conditions on part of the boundary. The governing equations consist of the incompressi…
A posteriori error estimates for the Generalized Burgers-Huxley equation with weakly singular kernels
Sumit Mahajan, Arbaz Khan
This paper explores the residual based a posteriori error estimations for the generalized Burgers-Huxley equation (GBHE) featuring weakly singular kernels. Initially, we present a…