Two-scale finite element Green's function approximations with applications to electrostatic potential computation

DOI10.1007/S11424-010-9274-3zbMath1298.65179OpenAlexW2045640804MaRDI QIDQ469643

Aihui Zhou, Ying Yang

Publication date: 11 November 2014

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-010-9274-3

zbMATH Keywords

Green's functionfinite elementerror analysisPoisson-Boltzmann equationtwo-scale

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Uses Software

• APBS

Cites Work

• Unnamed Item
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• Finite element methods (Part 1)
• Error analysis on bi-parameter finite elements
• Local Refinement Techniques for Elliptic Problems on Cell-Centered Grids I. Error Analysis
• On the Accuracy of the Finite Volume Element Method for Diffusion Equations on Composite Grids
• Some Optimal Error Estimates for Piecewise Linear Finite Element Approximations
• Finite Difference Schemes on Triangular Cell-Centered Grids with Local Refinement
• Interior Maximum Norm Estimates for Finite Element Methods
• Local and parallel finite element algorithms based on two-grid discretizations

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