Is the recycling of solutions a route towards high-throughput calculations of problems in electrostatics (and elsewhere)?
Many practical situations in which solutions of the electrostatic problems are sought do not require just a single calculation for a precisely known geometry and boundary conditions on conductors, but many calculations on different geometries with different boundary conditions. Two notable examples of such situations are Micro Electro-Mechanical Systems (MEMS) and optimization of design of electrostatic systems with respect to some predefined requirement (e.g. electric field strength at some particular point or region). In such situations, the electrostatic solutions for geometries that differ very little are frequently needed. Read more