Zobrazeno 1 - 10
of 106
pro vyhledávání: '"Khan, Arbaz"'
Autor:
Singh, Harpal, Khan, Arbaz
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 element method and a Discontinuous Galerkin (DG) method for the velocity-vor
Externí odkaz:
http://arxiv.org/abs/2407.01977
Autor:
Singh, Harpal, Khan, Arbaz
This study introduces the divergence-conforming discontinuous Galerkin finite element method (DGFEM) for numerically approximating optimal control problems with distributed constraints, specifically those governed by stationary generalized Oseen equa
Externí odkaz:
http://arxiv.org/abs/2403.15783
In this work, we propose fully nonconforming, locally exactly divergence-free discretizations based on lowest order Crouziex-Raviart finite element and piecewise constant spaces to study the optimal control of stationary double diffusion model presen
Externí odkaz:
http://arxiv.org/abs/2403.10282
Autor:
Mahajan, Sumit, Khan, Arbaz
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 reliable and efficient error estimator for both the stationary GBHE an
Externí odkaz:
http://arxiv.org/abs/2403.08269
This paper studies the family of interior penalty discontinuous Galerkin methods for solving the Herrmann formulation of the linear elasticity eigenvalue problem in heterogeneous media. By employing a weighted Lam\'e coefficient norm within the frame
Externí odkaz:
http://arxiv.org/abs/2402.17711
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 incompressible Navier--Stokes equations coupled with an advection-diffusion equat
Externí odkaz:
http://arxiv.org/abs/2402.01451
In this paper we present a mathematical and numerical analysis of an eigenvalue problem associated to the elasticity-Stokes equations stated in two and three dimensions. Both problems are related through the Herrmann pressure. Employing the Babu\v sk
Externí odkaz:
http://arxiv.org/abs/2312.10715
Autor:
Mahajan, Sumit, Khan, Arbaz
In this paper, the numerical approximation of the generalized Burgers'-Huxley equation (GBHE) with weakly singular kernels using non-conforming methods will be presented. Specifically, we discuss two new formulations. The first formulation is based o
Externí odkaz:
http://arxiv.org/abs/2310.07788
The analysis of a delayed generalized Burgers-Huxley equation (a non-linear advection-diffusion-reaction problem) with weakly singular kernels is carried out in this work. Moreover, numerical approximations are performed using the conforming finite e
Externí odkaz:
http://arxiv.org/abs/2309.01636
In this work, a theoretical framework is developed to study the control constrained distributed optimal control of a stationary double diffusion model presented in [Burger, Mendez, Ruiz-Baier, SINUM (2019), 57:1318-1343]. For the control problem, as
Externí odkaz:
http://arxiv.org/abs/2308.02178