Progress in developing Poisson-Boltzmann equation solvers
DOI10.2478/mlbmb-2013-0002zbMath1277.65086OpenAlexW2032579758WikidataQ30447589 ScholiaQ30447589MaRDI QIDQ2863922
Emil Alexov, Chuan Li, Marharyta Petukh, Lin Li
Publication date: 5 December 2013
Published in: Computational and Mathematical Biophysics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2478/mlbmb-2013-0002
numerical techniquesPoisson-Boltzmann equationcontinuum electrostaticsdielectric constantmolecular surface
Biochemistry, molecular biology (92C40) Parallel algorithms in computer science (68W10) Biophysics (92C05) Finite difference methods for boundary value problems involving PDEs (65N06) Boundary element methods for boundary value problems involving PDEs (65N38) Computational methods for problems pertaining to biology (92-08)
Related Items (5)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- A weighted adaptive least-squares finite element method for the Poisson-Boltzmann equation
- Parallel Newton-Krylov-Schwarz algorithms for the three-dimensional Poisson-Boltzmann equation in numerical simulation of colloidal particle interactions
- Differential geometry based solvation model. I: Eulerian formulation
- On the fictitious-domain and interpolation formulations of the matched interface and boundary (MIB) method
- A new version of the fast multipole method for screened Coulomb interactions in three dimensions
- Solution of acoustic scattering problems by means of second kind integral equations
- On the fast matrix multiplication in the boundary element method by panel clustering
- The electric potential of a macromolecule in a solvent: A fundamental approach
- Continuum solvation model: Computation of electrostatic forces from numerical solutions to the Poisson-Boltzmann equation
- Goal-oriented adaptivity and multilevel preconditioning for the Poisson-Boltzmann equation
- Biomolecular electrostatics using a fast multipole BEM on up to 512 GPUs and a billion unknowns
- Three-dimensional matched interface and boundary (MIB) method for treating geometric singularities
- A new minimization protocol for solving nonlinear Poisson-Boltzmann mortar finite element equation
- High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources
- A general formulation of alternating direction methods. I: Parabolic and hyperbolic problems
- Poisson-Nernst-Planck equations for simulating biomolecular diffusion-reaction processes. I: Finite element solutions
- A New Paradigm for Parallel Adaptive Meshing Algorithms
- An Efficient Higher-Order Fast Multipole Boundary Element Solution for Poisson–Boltzmann-Based Molecular Electrostatics
- Multiscale Bases for the Sparse Representation of Boundary Integral Operators on Complex Geometry
- A generalized Douglas ADI method for solving three‐dimensional parabolic differential equations on multilayers
- Adaptive Finite Element Modeling Techniques for the Poisson-Boltzmann Equation
- Between Algorithm and Model: Different Molecular Surface Definitions for the Poisson-Boltzmann Based Electrostatic Characterization of Biomolecules in Solution
- An Adaptive, Finite Difference Solver for the Nonlinear Poisson-Boltzmann Equation with Applications to Biomolecular Computations
- Monte Carlo Methods for Calculating Some Physical Properties of Large Molecules
- The Finite Element Approximation of the Nonlinear Poisson–Boltzmann Equation
- AFMPB: an adaptive fast multipole Poisson-Boltzmann solver for calculating electrostatics in biomolecular systems
- A fast, high-order algorithm for the solution of surface scattering problems: Basic implementation, tests, and applications
- Adaptive numerical treatment of elliptic systems on manifolds
This page was built for publication: Progress in developing Poisson-Boltzmann equation solvers