This paper poses two magnetostatic problems in cylindrical coordinates with different permeabilities for each region. In the first problem the boundary condition of the second kind is used while in the second one, the boundary condition of the third kind is utilized. These problems are solved using the finite element and finite difference methods. In second problem, the results of the finite di...

Contact problems are among the most difficult issues in mathematics and of crucial practical importance engineering applications. This paper presents a scaled boundary finite-element method with B-differentiable equations for 3D frictional contact small deformation elastostatics. Only boundaries system discretized into surface elements by method. The dimension is reduced one. conditions formula...

We derive and implement boundary integral methods for axisymmetric liquid bridge problems in the presence of an axial electric field. The liquid bridge is bounded by solid parallel electrodes placed perpendicular to the axis of symmetry and held at a constant potential difference. The fluid is assumed to be nonconducting and has permittivity different from that of the passive surrounding medium...

6 The scaled boundary finite-element method (SBFEM) is a novel semi-analytical method 7 developed in the elasto-statics and elasto-dynamics areas that has the advantages of com8 bining the finite-element method with the boundary-element method. The SBFEM method 9 weakens the governing differential equation in the circumferential direction and solves the 10 weakened equation analytically in the ...

The paper presents numerical modeling of the dynamics of recently developed electromagnetic valve actuator. The decoupled modelling approach is employed consisting of three-dimensional finite element analysis of the magnetic field of the actuator and solution of the dynamics equations on the basis of functions obtained from the magnetic field analysis. For the finite element analysis ANSYS prog...