论文信息 - Finite element modeling of unbounded problems using transformations: a rigorous, powerful and easy solution

Finite element modeling of unbounded problems using transformations: a rigorous, powerful and easy solution

A finite element method for the computation of open boundary problems using transformations is presented. The principle of the method is presented. A novel transformation, called the parallelepipedic shell transformation, is developed. This transformation and the manner of implementation of these techniques in Flux3d software lead to an efficient tool for modeling an open boundary problem by means of the finite-element method. Validation, results, and application are presented. >

[1] P. Silvester,et al. Finite-element solution of 2-dimensional exterior-field problems , 1971 .

[2] O. Zienkiewicz,et al. The coupling of the finite element method and boundary solution procedures , 1977 .

[3] Peter Bettess,et al. More on infinite elements , 1980 .

[4] B. Nath,et al. The w‐plane finite element method for the solution of scalar field problems in two dimensions , 1980 .

[5] O. C. Zienkiewicz,et al. A novel boundary infinite element , 1983 .

[6] S. Salon. The hybrid finite element-boundary element method in electromagnetics , 1985 .

[7] S. J. Salon,et al. Hybrid finite element boundary element solutions for three dimensional scalar potential problems , 1986 .

[8] P. Bettess. Finite element modelling of exterior electromagnetic problems , 1988 .

[9] C. Emson. Methods for the solution of open-boundary electromagnetic-field problems , 1988 .

[10] L. Pichon,et al. Hybrid finite-element method and boundary-element method using time-stepping for eddy-current calculation in axisymmetric problems , 1989 .

[11] E. M. Freeman,et al. A sparse matrix open boundary method for finite element analysis , 1989 .

[12] J. C. Sabonnadiere,et al. Finite element modeling of open boundary problems , 1990 .

[13] X. Brunotte,et al. An Original Solution for unbounded electromagnetic 2D- and 3D problems throughout the finite element method , 1990, International Conference on Magnetics.