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Adaptive Multilevel Finite Element Solution of the Poisson-Boltzmann Equation Algorithms I: Algorithms and Examples (2000)  (Make Corrections)  (12 citations)
M. Holst, N. Baker, F. Wang



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Abstract: This paper is the first of two papers on the adaptive multilevel finite element treatment of the nonlinear Poisson-Boltzmann equation (PBE), a nonlinear elliptic equation arising in biomolecular modeling. Fast and accurate numerical solution of the PBE is usually di#cult to accomplish, due to presence of discontinuous coe#cients, delta functions, three spatial dimensions, unbounded domain, and rapid (exponential) nonlinearity. In this first paper, we explain how adaptive multilevel finite... (Update)

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Electrostatics of Nanosystems: Application to.. - Baker, Sept.. (2001)   (Correct)
Adaptive Multilevel Finite Element Solution of the.. - Holst, Baker, Wang (2000)   (Correct)
The Adaptive Multilevel Finite Element Solution of the .. - Baker, Sept, Holst.. (2000)   (Correct)

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1.5:   Adaptive Numerical Treatment of Elliptic Systems on Manifolds - Holst (2001)   (Correct)
1.1:   The Poisson-Boltzmann Equation: Analysis and Multilevel Numerical.. - Holst (1994)   (Correct)

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BibTeX entry:   (Update)

M. Holst, N. Baker, and F. Wang, "Adaptive Multilevel Finite Element Solution of the Poisson--Boltzmann Equation; I: Algorithms and Examples," J. Comput. Chem. 21, 1319--1342 (2000). http://citeseer.ist.psu.edu/article/holst00adaptive.html   More

@misc{ holst00adaptive,
  author = "M. Holst and N. Baker and F. Wang",
  title = "Adaptive Multilevel Finite Element Solution of the Poisson--Boltzmann Equation;
    I: Algorithms and Examples",
  text = "M. Holst, N. Baker, and F. Wang, Adaptive Multilevel Finite Element Solution
    of the Poisson--Boltzmann Equation; I: Algorithms and Examples, J. Comput.
    Chem. 21, 1319--1342 (2000).",
  year = "2000",
  url = "citeseer.ist.psu.edu/article/holst00adaptive.html" }
Citations (may not include all citations):
689   The finite element method for elliptic problems (context) - Ciarlet - 1978
509   Sobolev spaces (context) - Adams - 1978
408   Multi-grid methods and applications (context) - Hackbusch - 1985
372   Matrix iterative analysis (context) - Varga - 1962
238   The mathematical theory of finite element methods (context) - Brenner, Scott - 1994
230   Iterative methods by space decomposition and subspace correc.. (context) - Xu - 1992
218   Iterative solution of large linear systems (context) - Young
176   Inexact Newton Methods (context) - Dembo, Eisenstat et al. - 1982
127   Constructive approximation (context) - DeVore, Lorentz - 1993
97   Interpolation and approximation (context) - Davis - 1963
93   The hierarchical basis multigrid method - Bank, Dupont et al. - 1988
91   PLTMG: A software package for solving elliptic partial di#er.. (context) - Bank - 1998
88   Some a posteriori error estimators for elliptic partial di#e.. - Bank, Weiser - 1985
73   Algebraic multigrid theory: The symmetric case (context) - Brandt - 1986
68   Error estimates for adaptive finite element computations (context) - Babuska, Rheinboldt - 1978
63   Finite element interpolation of nonsmooth functions satisfyi.. (context) - Scott, Zhang - 1990
61   Globally Convergent Inexact Newton Methods (context) - Eisenstat, Walker - 1992
57   UG -- a flexible software toolbox for solving partial di#ere.. - Bastian, Birken et al. - 1998
52   An optimal order process for solving finite element equation.. (context) - Bank, Dupont - 1981
49   Algorithms for refining triangular grids suitable for adapti.. (context) - Rivara - 1984
38   Overlapping Schwarz methods on unstructured meshes using non.. - Chan, Smith et al. - 1994
34   A posteriori error estimates based on hierarchical bases - Bank, Smith - 1993
33   Relationship between tetrahedron shape measures (context) - Liu, Joe - 1994
30   Local bisection refinement for N-simplicial grids generated .. (context) - Maubach - 1995
28   Springer-Verlag (context) - di and, equations - 1992
27   The hierarchical basis multigrid method and incomplete LU de.. - Bank, Xu - 1994
19   A lower bound on the angles of triangles constructed by bise.. (context) - Rosenberg, Stenger - 1975
18   Approximation by finite element functions using local regula.. (context) - Clement - 1975
17   Locally adapted tetrahedral meshes using bisection - Arnold, Mukherjee et al. - 1997
15   Impact of Computing in Science and Engineering (context) - refinement, dimensions - 1991
15   A posteriori error estimates for nonlinear problems (context) - Verfurth - 1994
12   Multigrid solution of the Poisson-Boltzmann equation - Holst, Saied - 1993
12   Adaptive multilevel finite element solution of the Poisson-B.. - Baker, Holst et al.
11   Computation unravels mysteries of molecular biophysics (context) - Briggs, McCammon - 1990
11   Shapes and implementations in three-dimensional geometry (context) - Mucke - 1993
10   Parameter selection for Newton-like methods applicable to no.. (context) - Bank, Rose - 1980
9   Algebraic multigrid on unstructured meshes - Vanek, Mandel et al. - 1994
9   utilizing successive over-relaxation to solve the Poisson-Bo.. (context) - Nicholls, Honig et al. - 1991
9   Physical chemistry of macromolecules (context) - Tanford - 1961
8   Lecture notes on multilevel methods for elliptic problems on.. (context) - Chan, Go et al. - 1997
8   Frontiers in Applied Mathematics (context) - Ruge, Stuben et al. - 1987
7   A posteriori finite element error estimators for indefinite .. (context) - Liu, Rheinboldt - 1994
7   Numerical methods in bifurcation problems (context) - Keller - 1987
6   On faster convergence of the bisection method for all triang.. (context) - Stynes - 1980
6   Schwarz methods: to symmetrize or not to symmetrize - Holst, Vandewalle - 1997
5   Solving the finite di#erence linearized Poisson-Boltzmann eq.. (context) - Davis, McCammon - 1989
5   to appear (context) - paradigm, adaptive et al.
5   An adaptive finite element code for elliptic boundary value .. (context) - Mukherjee - 1996
5   Calculating the electrostatic potential of molecules in solu.. (context) - Gilson, Sharp et al. - 1988
5   Springer-Verlag (context) - of, systems et al. - 1994
4   Solutions of the full Poisson-Boltzmann equation with applic.. (context) - Allison, Sines et al. - 1989
4   Adaptive multilevel finite element methods on manifolds and .. (context) - Holst
4   Adaptive finite element solution of the initial-value proble.. (context) - Holst, Bernstein
4   Stepsize selection in continuation procedures and damped New.. - Bank, Mittelmann - 1989
4   Numerische Mathematik (context) - for, meshes - 1996
3   The electric potential of a macromolecule in a solvent: A fu.. (context) - Ju, Botta et al. - 1991
3   Calculating total electrostatic energies with the nonlinear .. (context) - Sharp, Honig - 1990
3   The electrostatic potential of B-DNA (context) - Jayaram, Sharp et al. - 1989
2   Solving the finite-di#erence non-linear Poisson-Boltzmann eq.. (context) - Luty, Davis et al. - 1992
2   Penn State University (context) - element, nonlinear et al. - 1992
2   Penn State University (context) - two-grid, semilinear et al. - 1992
2   CFD PPLTMG: Using a posteriori error estimates and domain de.. - Bank, Holst et al. - 1998
2   An adaptive finite-element strategy for the three-dimsional .. (context) - Bansch - 1991
2   A boundary element method for molecular electrostatics with .. (context) - Yoon, Lenho - 1990
2   Elsevier Scientific Publishing Company (context) - Fucik, Kufner et al. - 1980
2   An automatic three-dimensional finite element mesh generatio.. (context) - Cortis, Friesner - 1997
1   Sparsity and Its Applications (context) - Brandt, McCormick et al. - 1984
1   Molecular dynamics simulations in heterogeneous dielectrica .. (context) - Niedermeier, Schulten - 1990
1   New method for the computation of ionic distribution around .. (context) - Rashin, Malinsky - 1991
1   Also published as Technical Report UIUCDCS-R (context) - for, equation et al. - 1993
1   Journal of Computational and Applied Mathematics (context) - of, adaptive et al. - 1991
1   Poisson-Boltzmann analytical gradients for molecular modelin.. (context) - Friedrichs, Zhou et al. - 1999
1   and Optimiz (context) - finite, estimators et al. - 1996
1   Determining projections and functionals for weak solutions o.. - Holst, Titi - 1997
1   The Poisson-Boltzmann Equation I: Approximation theory (context) - Holst, Xu
1   Local error estimates and parallel adaptive algorithms (context) - Xu, Zhou - 1997
1   An analytical algorithm for the rapid determination of the s.. (context) - You, Bashford - 1995
1   Center for Computational Mathematics (context) - by, for et al. - 1995
1   Painting finite element meshes (context) - Bank, Holst
1   An ojbect-oriented adaptive finite element code (context) - Beck, Erdmann et al. - 1995
1   Adaptive grid manager AGMD manual (context) - grid, manual et al. - 1996
1   Adaptive finite-element solution of the nonlinear Poisson-Bo.. (context) - Bowen, Sharif - 1997
1   The Poisson-Boltzmann equation: Analysis and multilevel nume.. (context) - Boltzmann, Analysis et al. - 1994



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Documents on the same site (http://scicomp.ucsd.edu/~mholst/pubs/publications.html):   More
Adaptive Multilevel Finite Element Solution of the.. - Baker, Holst, Wang (2000)   (Correct)
The Poisson-Boltzmann Equation: Analysis and Multilevel Numerical.. - Holst (1994)   (Correct)
Mclite: An Adaptive Multilevel Finite Element Matlab Package For.. - Holst   (Correct)

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