scientific article; zbMATH DE number 7370392

zbMath1469.65160MaRDI QIDQ4998778

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Publication date: 9 July 2021

Full work available at URL: http://www.math.ualberta.ca/ijnam/Volume-18-2021/No-2-21/2021-02-03.pdf

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zbMATH Keywords

finite volume element methodPoisson-Boltzmann equationelectrostatic free energysolvation free energy

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Biological applications of optics and electromagnetic theory (78A70) Biochemistry, molecular biology (92C40) Suspensions (76T20) Computational methods for problems pertaining to biology (92-08) Electro- and magnetostatics (78A30) Boltzmann equations (35Q20) Finite volume methods for boundary value problems involving PDEs (65N08)

Uses Software

• DOLFIN
• AFMPB
• SMPBS

Cites Work

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• On the finite volume element method
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• Analysis of linear and quadratic simplicial finite volume methods for elliptic equations
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• Local superconvergence of post-processed high-order finite volume element solutions
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• A new finite element and finite difference hybrid method for computing electrostatics of ionic solvated biomolecule
• High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources
• The finite volume element method with quadratic basis functions
• Poisson-Nernst-Planck equations for simulating biomolecular diffusion-reaction processes. I: Finite element solutions
• $L^2$ Error Estimates for a Class of Any Order Finite Volume Schemes Over Quadrilateral Meshes
• DOLFIN
• On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials
• Error estimates in $L^2$, $H^1$ and $L^\infty$ in covolume methods for elliptic and parabolic problems: A unified approach
• The Finite Element Approximation of the Nonlinear Poisson–Boltzmann Equation
• AFMPB: an adaptive fast multipole Poisson-Boltzmann solver for calculating electrostatics in biomolecular systems

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