58 citations · 143 across the 40 of their papers we have counts for
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Domain Decomposition Method for Poisson--Boltzmann Equations based on Solvent Excluded Surface
Abhinav Jha, Benjamin Stamm
In this paper, we develop a domain decomposition method for the nonlinear Poisson-Boltzmann equation based on a solvent-excluded surface widely used in computational chemistry. The…
Linear scaling computation of forces for the domain-decomposition linear Poisson--Boltzmann method
Abhinav Jha, Michele Nottoli, Aleksandr Mikhalev +2
The Linearized Poisson--Boltzmann (LPB) equation is a popular and widely accepted model for accounting solvent effects in computational (bio-) chemistry. In the present article we…
An Assessment of Solvers for Algebraically Stabilized Discretizations of Convection-Diffusion-Reaction Equations
Abhinav Jha, Ondřej Pártl, Naveed Ahmed +1
We consider flux-corrected finite element discretizations of 3D convection-dominated transport problems and assess the computational efficiency of algorithms based on such approxim…
Analysis of Flux Corrected Transport Schemes for Evolutionary Convection-Diffusion-Reaction Equations
Abhinav Jha, Naveed Ahmed
We report in this paper the analysis for the linear and nonlinear version of the flux corrected transport (FEM-FCT) scheme in combination with the backward Euler time-stepping sche…
Adaptive Grids in the Context of Algebraic Stabilizations for Convection-Diffusion-Reaction Equations
Abhinav Jha, Volker John, Petr Knobloch
Three algebraically stabilized finite element schemes for discretizing convection-diffusion-reaction equations are studied on adaptively refined grids. These schemes are the algebr…
A Residual Based A Posteriori Error Estimators for AFC Schemes for Convection-Diffusion Equations
Abhinav Jha
In this work, we propose a residual-based a posteriori error estimator for algebraic flux-corrected (AFC) schemes for stationary convection-diffusion equations. A global upper boun…