Algebraic multigrid theory: The symmetric case
Applied Mathematics and Computation - Second Copper Mountain conference on Multigrid methods Copper Mountain, Colorado
Multigrid solution of the Poisson-Boltzmann equation
Journal of Computational Chemistry
Mathematics of Computation
Schwarz Methods: To Symmetrize or Not to Symmetrize
SIAM Journal on Numerical Analysis
Local and parallel finite element algorithms based on two-grid discretizations
Mathematics of Computation
Finite element solution of boundary value problems: theory and computation
Finite element solution of boundary value problems: theory and computation
A New Paradigm for Parallel Adaptive Meshing Algorithms
SIAM Journal on Scientific Computing
QMView and GAMESS: integration into the world wide computational grid
Proceedings of the 2002 ACM/IEEE conference on Supercomputing
A boundary element formulation of protein electrostatics with explicit ions
Journal of Computational Physics
Journal of Computational and Applied Mathematics
Multiscale molecular dynamics using the matched interface and boundary method
Journal of Computational Physics
Journal of Computational Physics
Computationally efficient technique for nonlinear poisson-boltzmann equation
ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part I
Journal of Computational Physics
Hi-index | 0.02 |
By using new methods for the parallel solution of elliptic partial differential equations, the teraflops computing power of massively parallel computers can be leveraged to perform electrostatic calculations on large biological systems. This paper describes the adaptive multilevel finite element solution of the Poisson-Boltzmann equation for a microtubule on the NPACI Blue Horizon--a massively parallel IBM RS/6000® SP with eight POWER3 SMP nodes. The microtubule system is 40 nm in length and 24 nm in diameter, consists of roughly 600000 atoms, and has a net charge of -1800 e. Poisson-Boltzmann calculations are performed for several processor configurations, and the algorithm used shows excellent parallel scaling.