POT4A swMATH ID: 1206 Software Authors: S.J. Beard, R.W. Hockney Description: POT4A: a program for the direct solution of Poisson’s equation in complex geometries. The program solves Poisson’s equation in a rectangular region. Electrodes and dielectric interfaces can be included anywhere in the region. An electrode is defined as a line segment along which the potential is held at a given value. A dielectric interface is defined as a line across which the normal component of the electric displacement is held constant. The boundary conditions on the edge of the rectangle can be given value, zero normal gradient or periodic in the x-direction. In the y-direction, in addition to these conditions, a mixed boundary condition of the form aφ+b∂φ ∂y=c(x) and an open boundary condition, where ∂φ ∂y→0 as |y|→∞ are included. The program was developed to solve problems in electrostatics but can also be applied in other fields Homepage: http://cpc.cs.qub.ac.uk/summaries/ACDB_v1_0.html Programming Languages: Fortran. Operating Systems: OS-MVT. Keywords: General purpose; Differential equation; Poisson’s equation; Direct methods; Analysis fourier; Cyclic reduction; Irregular regions; Two-dimensional; Isolated system; Electrodes; Dielectric interfaces; Capacity matrix; Electromagnetic. Related Software: Cited in: 9 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year POT4A - A program for the direct solution of Poisson’s equation in complex geometries. Zbl 0578.65106Beard, S. J.; Hockney, R. W. 1985 all top 5 Cited by 16 Authors 2 Harley, Peter John 2 Pickering, W. M. 2 Wolff, Ulli 1 Azcoiti, Vicente 1 Beard, S. J. 1 Fjeldly, Tor A. 1 Follana, Eduardo 1 Goodnick, Stephen M. 1 Hockney, Roger W. 1 Jensen, Geir U. 1 Kanazawa, Takuya 1 Lund, Bjørnar 1 Saraniti, Marco 1 Shur, Michael 1 Vaquero, Alejandro 1 Wigger, Shela J. Cited in 5 Serials 3 Nuclear Physics. B 2 Computer Physics Communications 1 Journal of Computational Physics 1 Annals of Physics 1 International Journal of Computer Mathematics all top 5 Cited in 7 Fields 7 Numerical analysis (65-XX) 4 Partial differential equations (35-XX) 4 Quantum theory (81-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 Optics, electromagnetic theory (78-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year