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 ...

Stretching process of sheet metals in both cases of axisymmetric and non-axisymmetric is analyzed. A rigid-plastic, normal anisotrop material is assumed and large strain formulation is applied. Triangular elements are used and stiffness equations of elements are obtained from virtual work principle. These nonlinear equations are linearized by Newton-Raphson's method and are solved by Gaussian e...

The scaled boundary finite element method(SBFEM) is a semi-analysis method, combing the advantages of method and method. However, in solving quadruple corner-cut ridged elliptical(QCRE) waveguide, traditional SBFEM employ Lagrange polynomials as basis functions which leads to curved boundaries cannot be exactly represented continuity order across low. In this paper, non-uniform rational B-splin...

Computational modelling has received significant attention in the research community over the past few decades due to its pronounced contribution in better understanding of the nature, as well as in the development of advanced technologies. The modelling of more and more complex transport physical systems helps the community to address important issues, like identification of environmental prob...

The computation of optical modes inside axisymmetric cavity resonators with a general spatial permittivity profile is a formidable computational task. In order to avoid spurious modes the vector Helmholtz equations are discretised by a mixed finite element approach. We formulate the method for first and second order Nédélec edge and Lagrange nodal elements. We discuss how to accurately compute ...

The computation of optical modes inside axisymmetric cavity resonators with a general spatial permittivity profile is a formidable computational task. In order to avoid spurious modes the vector Helmholtz equations are discretised by a mixed finite element approach. We formulate the method for first and second order Nédélec edge and Lagrange nodal elements. We discuss how to accurately compute ...