Parallel Newton-Krylov-Schwarz algorithms for the three-dimensional Poisson-Boltzmann equation in numerical simulation of colloidal particle interactions

DOI10.1016/j.cpc.2010.05.003zbMath1219.82024OpenAlexW2150562037MaRDI QIDQ536953

Yun-Long Shao, Feng-Nan Hwang, Jong-Shinn Wu, Shang-Rong Cai

Publication date: 31 May 2011

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2010.05.003

zbMATH Keywords

finite elementparallel processingPoisson-Boltzmann equationcolloidal particlesinexact Newtonoverlapping Schwarz preconditioning

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Interacting particle systems in time-dependent statistical mechanics (82C22) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Iterative numerical methods for linear systems (65F10) Numerical algorithms for specific classes of architectures (65Y10) Semilinear elliptic equations (35J61) Preconditioners for iterative methods (65F08) Boltzmann equations (35Q20) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items

Progress in developing Poisson-Boltzmann equation solvers

Uses Software

• PETSc
• LINPACK
• APBS

Cites Work

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• Numerical Optimization
• Domain Decomposition Algorithms with Small Overlap
• Parallel Newton--Krylov--Schwarz Algorithms for the Transonic Full Potential Equation
• Overlapping Schwarz Methods for a Singularly Perturbed Semilinear Elliptic Problem and Their Parallel Implementation
• Adaptive mesh enrichment for the Poisson-Boltzmann equation