New standard element types for magnetic field calculation in the electromechanical system

Abstract

Further development of the standard element method by the introduction of new types of the triangular shape standard elements is realized. The operators defining the exact “connection” for boundary value problems in the triangle standard elements between the required general solution and the values of its normal derivative on the boundary of an element are found. It is shown how a representation of solutions in standard elements is expressed in terms of the nodal values of the solution on their borders. The accuracy of the standard element method using standard triangular elements in relation to the calculation of the potential field without combining with the finite element method is evaluated on the analytical and numerical solutions of the test boundary value problem.