Linear approximation of volume integral equations for solving magnetostatics problems


Mr Pavel Akishin (JINR, LIT)


Volume integral equations method is considered for calculation of magnetic systems. We discuss an approach, based on finite element linear approximation of unknown vector field variables. Initially a three-dimensional domain is represented as a combination of standard macro-blocks with two-dimensional mesh on the boundaries. This allows to generate three-dimensional mesh in each individual block. Cubature formula methods are used for matrix coefficient calculations. We introduce a special procedure for evaluating matrix elements in a singular case. The results of various magnet systems simulations based on this approach are shown.

Primary authors

Mr Andrew Sapozhnikov (JINR, LIT) Mr Pavel Akishin (JINR, LIT)

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