The adaptive multilevel finite element solution of the Poisson-Boltzmann equation on massively parallel computers

N. A. Baker; D. Sept; M. J. Holst; J. A. McCammon

doi:10.1147/rd.453.0427

The adaptive multilevel finite element solution of the Poisson-Boltzmann equation on massively parallel computers

IBM Journal of Research and Development ◽

10.1147/rd.453.0427 ◽

2001 ◽

Vol 45 (3.4) ◽

pp. 427-438 ◽

Cited By ~ 78

Author(s):

N. A. Baker ◽

D. Sept ◽

M. J. Holst ◽

J. A. McCammon

Keyword(s):

Finite Element ◽

Boltzmann Equation ◽

Parallel Computers ◽

Finite Element Solution ◽

Massively Parallel ◽

Element Solution ◽

Massively Parallel Computers ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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ANALYSIS OF FINITE ELEMENT SOLUTION OF THE POISSON-BOLTZMANN EQUATION

10.5151/chemeng-cobeq2014-0898-22703-154496 ◽

2015 ◽

Author(s):

N. S. V. BARBOSA ◽

E. R. A. LIMA ◽

F. W. TAVARES

Keyword(s):

Finite Element ◽

Boltzmann Equation ◽

Finite Element Solution ◽

Element Solution ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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Adaptive multilevel finite element solution of the Poisson-Boltzmann equation I. Algorithms and examples

Journal of Computational Chemistry ◽

10.1002/1096-987x(200103)22:4<475::aid-jcc1018>3.0.co;2-7 ◽

2001 ◽

Vol 22 (4) ◽

pp. 475-475 ◽

Cited By ~ 7

Author(s):

M. Holst ◽

N. Baker ◽

F. Wang

Keyword(s):

Finite Element ◽

Boltzmann Equation ◽

Finite Element Solution ◽

Element Solution ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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Adaptive multilevel finite element solution of the Poisson-Boltzmann equation II. Refinement at solvent-accessible surfaces in biomolecular systems

Journal of Computational Chemistry ◽

10.1002/1096-987x(20001130)21:15<1343::aid-jcc2>3.0.co;2-k ◽

2000 ◽

Vol 21 (15) ◽

pp. 1343-1352 ◽

Cited By ~ 115

Author(s):

N. Baker ◽

M. Holst ◽

F. Wang

Keyword(s):

Finite Element ◽

Boltzmann Equation ◽

Finite Element Solution ◽

Element Solution ◽

Biomolecular Systems ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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Adaptive Finite-Element Solution of the Nonlinear Poisson–Boltzmann Equation: A Charged Spherical Particle at Various Distances from a Charged Cylindrical Pore in a Charged Planar Surface

Journal of Colloid and Interface Science ◽

10.1006/jcis.1996.4705 ◽

1997 ◽

Vol 187 (2) ◽

pp. 363-374 ◽

Cited By ~ 39

Author(s):

W.Richard Bowen ◽

Adel O. Sharif

Keyword(s):

Finite Element ◽

Boltzmann Equation ◽

Spherical Particle ◽

Finite Element Solution ◽

Adaptive Finite Element ◽

Element Solution ◽

Planar Surface ◽

Cylindrical Pore ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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Adaptive multilevel finite element solution of the Poisson-Boltzmann equation I. Algorithms and examples

Journal of Computational Chemistry ◽

10.1002/1096-987x(20001130)21:15<1319::aid-jcc1>3.0.co;2-8 ◽

2000 ◽

Vol 21 (15) ◽

pp. 1319-1342 ◽

Cited By ~ 167

Author(s):

M. Holst ◽

N. Baker ◽

F. Wang

Keyword(s):

Finite Element ◽

Boltzmann Equation ◽

Finite Element Solution ◽

Element Solution ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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A first-order system least-squares finite element method for the Poisson-Boltzmann equation

Journal of Computational Chemistry ◽

10.1002/jcc.21446 ◽

2009 ◽

pp. NA-NA ◽

Cited By ~ 7

Author(s):

Stephen D. Bond ◽

Jehanzeb Hameed Chaudhry ◽

Eric C. Cyr ◽

Luke N. Olson

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boltzmann Equation ◽

Least Squares ◽

Order System ◽

First Order ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation ◽

Element Method

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Delta: An object-oriented finite element code architecture for massively parallel computers

10.2172/212576 ◽

1996 ◽

Author(s):

J.R. Weatherby ◽

J.A. Schutt ◽

J.S. Peery ◽

R.E. Hogan

Keyword(s):

Finite Element ◽

Object Oriented ◽

Parallel Computers ◽

Massively Parallel ◽

Finite Element Code ◽

Massively Parallel Computers

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A new linear Poisson-Boltzmann equation and finite element solver by solution decomposition approach

Communications in Mathematical Sciences ◽

10.4310/cms.2015.v13.n2.a2 ◽

2015 ◽

Vol 13 (2) ◽

pp. 315-325 ◽

Cited By ~ 5

Author(s):

Jiao Li ◽

Dexuan Xie

Keyword(s):

Finite Element ◽

Boltzmann Equation ◽

Decomposition Approach ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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Numerical solution of the Poisson-Boltzmann equation using tetrahedral finite-element meshes

Journal of Computational Chemistry ◽

10.1002/(sici)1096-987x(199710)18:13<1591::aid-jcc3>3.0.co;2-m ◽

1997 ◽

Vol 18 (13) ◽

pp. 1591-1608 ◽

Cited By ~ 106

Author(s):

Christian M. Cortis ◽

Richard A. Friesner

Keyword(s):

Finite Element ◽

Boltzmann Equation ◽

Numerical Solution ◽

Poisson Boltzmann ◽

Finite Element Meshes ◽

Poisson Boltzmann Equation

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

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.10.054 ◽

2012 ◽

Vol 218 (9) ◽

pp. 4892-4902 ◽

Cited By ~ 4

Author(s):

Jehanzeb Hameed Chaudhry ◽

Stephen D. Bond ◽

Luke N. Olson

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boltzmann Equation ◽

Least Squares ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation ◽

Element Method

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