The book describes application of the finite element method to electro- and magnetostatic problems. The main emphasis of the book is on the electromagnetic formulations rather than on the diverse features of the finite element method. Boundary value problems based on the div-grad and curl-curl equations, are discussed in great detail. All derivation steps on the way from Maxwell’s equations to the numerical recipes that can be programmed into a computer are discussed at length. A special attention is paid to boundary and interface conditions. The Logbook on the right contains the numerical experiments that illustrate application of the finite element method to various formulations discussed in this book.
This Logbook describes numerical experiments that illustrate application of the finite element method to problems in electro- and magnetostatics. A number of boundary value problems formulated in terms of electric scalar potential, total magnetic scalar potential, reduced magnetic scalar potential, magnetic vector potential, and current vector potential are solved numerically on two- and three-dimensional problem domains. The closed-form analytical solutions to most of the problems considered in this Logbook can be found in Chapter 6 of the book on the left. The Logbook contains the documentation of the computer code of the numerical experiments. The computer code is implemented with a help of deal.II finite element library.