A weighted adaptive least-squares finite element method for the Poisson-Boltzmann equation

DOI10.1016/j.amc.2011.10.054zbMath1244.65169OpenAlexW1982421054MaRDI QIDQ426497

Luke N. Olson, Stephen D. Bond, Jehanzeb Hameed Chaudhry

Publication date: 11 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.10.054

zbMATH Keywords

numerical experimentsfinite elementconditioningleast-squaresPoisson-Boltzmann equationadaptive refinement

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical computation of matrix norms, conditioning, scaling (65F35) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Boltzmann equations (35Q20)

Related Items (5)

An adaptive least-squares finite element method for Giesekus viscoelastic flow problems ⋮ Efficient calculation of fully resolved electrostatics around large biomolecules ⋮ A Posteriori Analysis and Efficient Refinement Strategies for the Poisson--Boltzmann Equation ⋮ Goal-oriented adaptivity and multilevel preconditioning for the Poisson-Boltzmann equation ⋮ Progress in developing Poisson-Boltzmann equation solvers

Uses Software

• APBS

Cites Work

• Unnamed Item
• Mixed finite elements in \(\mathbb{R}^3\)
• Multigrid method for \(H\text{(div)}\) in three dimensions
• A mortar finite element approximation for the linear Poisson-Boltzmann equation
• Goal-oriented adaptivity and multilevel preconditioning for the Poisson-Boltzmann equation
• Multigrid in H(div) and H(curl)
• Finite Element Methods of Least-Squares Type
• First-Order System Least Squares for Second-Order Partial Differential Equations: Part I
• First-Order System Least Squares for Second-Order Partial Differential Equations: Part II
• Least-Squares Finite Element Approximations to Solutions of Interface Problems
• Theory of Solutions of Molecules Containing Widely Separated Charges with Special Application to Zwitterions
• The Finite Element Approximation of the Nonlinear Poisson–Boltzmann Equation
• A locally conservative least‐squares method for Darcy flows
• Analysis of First-Order System Least Squares (FOSLS) for Elliptic Problems with Discontinuous Coefficients: Part I
• Analysis of First-Order System Least Squares (FOSLS) for Elliptic Problems with Discontinuous Coefficients: Part II
• A minimal stabilisation procedure for mixed finite element methods

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