4 citations · 7 across the 15 of their papers we have counts for
8 papers · 1 filter
A priori and a posteriori error bounds for the fully mixed FEM formulation of poroelasticity with stress-dependent permeability
Arbaz Khan, Bishnu P. Lamichhane, Ricardo Ruiz-Baier +1
We develop a family of mixed finite element methods for a model of nonlinear poroelasticity where, thanks to a rewriting of the constitutive equations, the permeability depends on…
hp-discontinuous Galerkin method for the generalized Burgers-Huxley equation with weakly singular kernels
Sumit Mahajan, Arbaz Khan
In this work, we investigate the -discontinuous Galerkin (DG) time-stepping method for the generalized Burgers-Huxley equation with memory, a non-linear advection-diffusion-rea…
Conforming/Non-Conforming Mixed Finite Element Methods for Optimal Control of Velocity-Vorticity-Pressure Formulation for the Oseen Problem with Variable Viscosity
Harpal Singh, Arbaz Khan
This work examines the distributed optimal control of generalized Oseen equations with non-constant viscosity. We propose and analyze a new conforming augmented mixed finite elemen…
Divergence conforming DG method for the optimal control of the Oseen equation with variable viscosity
Harpal Singh, Arbaz Khan
This study introduces the divergence-conforming discontinuous Galerkin finite element method (DGFEM) for numerically approximating optimal control problems with distributed constra…
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…
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…
Interior penalty discontinuous Galerkin methods for the nearly incompressible elasticity eigenvalue problem with heterogeneous media
Arbaz Khan, Felipe Lepe, Jesus Vellojin
This paper studies the family of interior penalty discontinuous Galerkin methods for solving the Herrmann formulation of the linear elasticity eigenvalue problem in heterogeneous m…
Divergence conforming finite element methods for flow-transport coupling with osmotic effects
Arbaz Khan, David Mora, Ricardo Ruíz-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…