GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
SIAM Journal on Scientific and Statistical Computing
A fast algorithm for particle simulations
Journal of Computational Physics
Computer simulation using particles
Computer simulation using particles
Journal of Computational Chemistry
The electric potential of a macromolecule in a solvent: A fundamental approach
Journal of Computational Physics
Boundary value problems of mathematical physics (vol. 1)
Boundary value problems of mathematical physics (vol. 1)
Field Computation by Moment Methods
Field Computation by Moment Methods
The rapid evaluation of potential fields in particle systems
The rapid evaluation of potential fields in particle systems
A precorrected-FFT method for electrostatic analysis of complicated 3-D structures
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
A spectrally accurate integral equation solver for molecular surface electrostatics
Proceedings of the 2006 IEEE/ACM international conference on Computer-aided design
"New-version-fast-multipole-method" accelerated electrostatic calculations in biomolecular systems
Journal of Computational Physics
A meshless, spectrally accurate, integral equation solver for molecular surface electrostatics
ACM Journal on Emerging Technologies in Computing Systems (JETC)
SIAM Journal on Scientific Computing
Computationally efficient technique for nonlinear poisson-boltzmann equation
ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part I
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Computer simulation is an important tool for improving our understanding of biomolecule electrostatics, in part to aid in drug design. However, the numerical techniques used in these simulation tools do not exploit fast solver approaches widely used in analyzing integrated circuit interconnects. In this paper we describe one popular formulation used to analyze biomolecule electrostatics, present an integral formulation of the problem, and apply the precorrected-FFT method to accelerate the solution of the integral equations.