12 citations · 20 across the 15 of their papers we have counts for
5 papers · 1 filter
Efficient mesh refinement for the Poisson-Boltzmann equation with boundary elements
Vicente Ramm, Jehanzeb H. Chaudhry, Christopher D. Cooper
The Poisson-Boltzmann equation is a widely used model to study the electrostatics in molecular solvation. Its numerical solution using a boundary integral formulation requires a me…
An a posteriori error analysis for the equations of stationary incompressible magnetohydrodynamics
J. H. Chaudhry, A. E. Rappaport, J. N. Shadid
Magnetohydrodynamics (MHD) is a continuum level model for conducting fluids subject to external magnetic fields, e.g. plasmas and liquid metals. The efficient and robust solution o…
A Least-Squares Finite Element Reduced Basis Method
Jehanzeb Hameed Chaudhry, Luke N. Olson, Peter Sentz
We present a reduced basis (RB) method for parametrized linear elliptic partial differential equations (PDEs) in a least-squares finite element framework. A rigorous and reliable e…
A posteriori Error Estimation for the Spectral Deferred Correction Method
Jehanzeb H. Chaudhry, J. B. Collins
The spectral deferred correction method is a variant of the deferred correction method for solving ordinary differential equations. A benefit of this method is that is uses low ord…
Error estimation and uncertainty quantification for first time to a threshold value
Jehanzeb H. Chaudhry, Donald Estep, Zachary Stevens +1
Classical a posteriori error analysis for differential equations quantifies the error in a Quantity of Interest (QoI) which is represented as a bounded linear functional of the sol…