Explains how to solve various partial differential equations occurring in electro- and magnetostatics, in heat transport, and in electronic conduction. It includes introductory chapters on how to generate graphics, on vector analysis, and how to solve elementary PDEs.
(Zip file containing PDF document and sample scripts for use with the free Student License)

This is a Zip file containting the standard FlexPDE Help system in PDF format for local printing.

This manual addresses Electrostatics and Magnetostatics in 2D and 3D, as well as waveguides, both homogeneous and inhomogeneous.
(Zip file containing PDF document and sample scripts)

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A Course In Computational Electrostatic Field Theory
by Frederick Young

The goal of this book is to enable students to use finite elements to solve many of the problems of electromagnetic field theory that cannot be solved analytically by advanced mathematical analysis. Being able to quickly get solutions to new problems, make changes in them and view the results graphically leads more rapidly to physical understanding than spending hours working with complex mathematics.

Fields of Mechanics by Finite Element Analysis
Part I:  Deformation and Vibration

Laplace and Poisson equations, definitions of strain, Hooke's law, and the relations of force balance. Beams, analysis of principal axes and the corresponding stresses. Forces, bending moments and energy. Hooks, rings and tubes are first treated in 2D, after which there is an analysis in cylindrical coordinates and in 3D. The static analysis in (x,y ) includes a discussion of torsion and warping and thermoelastic deformation. Resonant vibration, eigenvalues and eigenstates, extended to 3D.

Fields of Mechanics by Finite Element Analysis
Part II:  Irrotational and Viscous Flow in 2D and 3D

Simple potential flow, irrotational flow with circulation around an obstacle, which may cause transverse forces. Viscous flow in (x , y ) according to the Navier-Stokes equation. An additional PDE yields the solution for the pressure and also assures a divergence-free velocity field. These principles are extended to cylindrical coordinates (r , z ) and to three-dimensional (x , y , z ).

Waves by Finite Element Analysis
by Gunnar Backstrom

Electrodynamics, and waves in one and two dimensions. Numerous examples illustrate how to exploit this convenient technique to solve oscillatory problems, even where conductivity, permittivity and permeability vary in space. Examples of transient problems are also included.
Wave mechanics, barrier penetration and bound states in one dimension, harmonic oscillators in one, two and three dimensions, in the latter case after a single variable separation. Two chapters are devoted to the solution of the Schrödinger equation for the hydrogen atom and for the hydrogen molecule-ion.