Arbaz Khan

Publication Activity (10 Years)

Years Active: 2013-2024
Publications (10 Years): 30

Top Topics

Error Estimates

Monte Carlo Sampling

Top Venues

Comput. Math. Appl.

SIAM J. Sci. Comput.

J. Sci. Comput.

Publications

Santiago Badia, Martin Hornkjøl, Arbaz Khan, Kent-André Mardal, Alberto F. Martín, Ricardo Ruiz-Baier
Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem. Comput. Math. Appl. 157 (2024)
Jai Tushar, Arbaz Khan, Manil T. Mohan
Optimal Control of Stationary Doubly Diffusive Flows on Two and Three Dimensional Bounded Lipschitz Domains: Numerical Analysis. CoRR (2024)
Harpal Singh, Arbaz Khan
Divergence conforming DG method for the optimal control of the Oseen equation with variable viscosity. CoRR (2024)
Arbaz Khan, David Mora, Ricardo Ruiz-Baier, Jesus Vellojin
Divergence conforming finite element methods for flow-transport coupling with osmotic effects. CoRR (2024)
Daniele Boffi, Arbaz Khan
Adaptive Mixed FEM for the Stokes eigenvalue problem. CoRR (2024)
Arbaz Khan, Felipe Lepe, Jesus Vellojin
Interior penalty discontinuous Galerkin methods for the nearly incompressible elasticity eigenvalue problem with heterogeneous media. CoRR (2024)
Sumit Mahajan, Arbaz Khan
A posteriori error estimates for the Generalized Burgers-Huxley equation with weakly singular kernels. CoRR (2024)
Harpal Singh, Arbaz Khan
Conforming/Non-Conforming Mixed Finite Element Methods for Optimal Control of Velocity-Vorticity-Pressure Formulation for the Oseen Problem with Variable Viscosity. CoRR (2024)
Sanuwar Ahmed Choudhury, Neeraj Kumar Nehra, Pankaj Biswas, Arbaz Khan
Nonconforming spectral element approximation for parabolic PDE with corner singularity. Comput. Math. Appl. 167 (2024)
Sumit Mahajan, Arbaz Khan
Finite element approximation for the delayed generalized Burgers-Huxley equation with weakly singular kernel: Part II Non-Conforming and DG approximation. CoRR (2023)
Arbaz Khan, Felipe Lepe, David Mora, Jesus Vellojin
Finite element analysis of the nearly incompressible linear elasticity eigenvalue problem with variable coefficients. CoRR (2023)
Sumit Mahajan, Arbaz Khan, Manil T. Mohan
Finite element approximation for a delayed generalized Burgers-Huxley equation with weakly singular kernels: Part I Well-posedness, Regularity and Conforming approximation. CoRR (2023)
Arbaz Khan, Pietro Zanotti
A nonsymmetric approach and a quasi-optimal and robust discretization for the Biot's model. Math. Comput. 91 (335) (2022)
Verónica Anaya, Arbaz Khan, David Mora, Ricardo Ruiz-Baier
Robust A Posteriori Error Analysis for Rotation-Based Formulations of the Elasticity/Poroelasticity Coupling. SIAM J. Sci. Comput. 44 (4) (2022)
Arbaz Khan, Manil T. Mohan, Ricardo Ruiz-Baier
Conforming, Nonconforming and DG Methods for the Stationary Generalized Burgers-Huxley Equation. J. Sci. Comput. 88 (3) (2021)
Arbaz Khan, Manil T. Mohan, Ricardo Ruiz-Baier
Conforming, nonconforming and DG methods for the stationary generalized Burgers- Huxley equation. CoRR (2021)
Arbaz Khan, Catherine E. Powell
Parameter-Robust Stochastic Galerkin Mixed Approximation for Linear Poroelasticity with Uncertain Inputs. SIAM J. Sci. Comput. 43 (4) (2021)
Arbaz Khan, Alex Bespalov, Catherine E. Powell, David J. Silvester
Robust a posteriori error estimation for parameter-dependent linear elasticity equations. Math. Comput. 90 (328) (2021)
Raimund Bürger, Arbaz Khan, Paul E. Méndez, Ricardo Ruiz-Baier
Divergence-conforming methods for transient doubly-diffusive flows: A priori and a posteriori error analysis. CoRR (2021)
Verónica Anaya, Arbaz Khan, David Mora, Ricardo Ruiz-Baier
Robust a posteriori error analysis for rotation-based formulations of the elasticity/poroelasticity coupling. CoRR (2021)
Arbaz Khan, Guido Kanschat
A Robust A Posteriori Error Estimator for Divergence-Conforming Discontinuous Galerkin Methods for the Oseen Equation. SIAM J. Numer. Anal. 58 (1) (2020)
Arbaz Khan
Spectral Method and Spectral Element Method for Three Dimensional Linear Elliptic System: Analysis and Application. J. Sci. Comput. 82 (2) (2020)
Joscha Gedicke, Arbaz Khan
Divergence-conforming discontinuous Galerkin finite elements for Stokes eigenvalue problems. Numerische Mathematik 144 (3) (2020)
Arbaz Khan, Pietro Zanotti
A nonsymmetric approach and a quasi-optimal and robust discretization for the Biot's model. Part I - Theoretical aspects. CoRR (2020)
Arbaz Khan, Catherine E. Powell
Parameter-robust Stochastic Galerkin mixed approximation for linear poroelasticity with uncertain inputs. CoRR (2020)
Arbaz Khan, Catherine E. Powell, David J. Silvester
Robust Preconditioning for Stochastic Galerkin Formulations of Parameter-Dependent Nearly Incompressible Elasticity Equations. SIAM J. Sci. Comput. 41 (1) (2019)
Joscha Gedicke, Arbaz Khan
Arnold-Winther Mixed Finite Elements for Stokes Eigenvalue Problems. SIAM J. Sci. Comput. 40 (5) (2018)
Akhlaq Husain, Arbaz Khan
Least-squares spectral element preconditioners for fourth order elliptic problems. Comput. Math. Appl. 74 (3) (2017)
Arbaz Khan, Akhlaq Husain
Exponentially Accurate Spectral Element Method for Fourth Order Elliptic Problems. J. Sci. Comput. 71 (1) (2017)
Arbaz Khan, Pravir Dutt, Chandra Shekhar Upadhyay
Spectral Element Method for Parabolic Initial Value Problem with Non-Smooth Data: Analysis and Application. J. Sci. Comput. 73 (2-3) (2017)
Arbaz Khan, Pravir Dutt, Chandra Shekhar Upadhyay
Nonconforming Least-Squares Spectral Element Method for European Options. Comput. Math. Appl. 70 (1) (2015)
Arbaz Khan, Maria Vasardani, Stephan Winter
Extracting Spatial Information From Place Descriptions. COMP@SIGSPATIAL (2013)