{"_id":"iT4ZXL8NZPzAB75AK","bibbaseid":"melissen-simkin-anewcoordinatetransformforthefiniteelementsolutionofaxisymmetricproblemsinmagnetostatics-1990","authorIDs":[],"author_short":["Melissen, J.","Simkin, J."],"bibdata":{"bibtype":"article","type":"article","abstract":"It is pointed out that, although field computation in two-dimensional (2-D) axial symmetric problems has a longstanding history and its software has acquired the status of robustness and reliability, problems with singularities in the neighborhood of r =0 still remain a point of concern. A simple example is shown which exhibits a disturbing lack of accuracy and seems to mock all ideas of reasonability of finite-element solutions. A simple solution to the problem is presented, consisting of transforming the vector potential into a form which is better adapted to the bilinear interpolation used in first-order finite elements. For one-dimensional problems with piecewise linear materials this approach yields exact solutions; an increase in accuracy was obtained for other problems also","author":[{"propositions":[],"lastnames":["Melissen"],"firstnames":["J.B.M."],"suffixes":[]},{"propositions":[],"lastnames":["Simkin"],"firstnames":["J."],"suffixes":[]}],"doi":"10.1109/20.106336","file":"Melissen_1990aa.pdf","issn":"0018-9464","journal":"IEEE Transactions on Magnetics","keywords":"axisymmetric,fem,2d,magnetics,magnetostatics","langid":"english","month":"March","number":"2","pages":"391–394","publisher":"IEEE","title":"A new coordinate transform for the finite element solution of axisymmetric problems in magnetostatics","volume":"26","year":"1990","shortjournal":"IEEE Trans. Magn.","bibtex":"@Article{ Melissen_1990aa,\n abstract = {It is pointed out that, although field computation in two-dimensional (2-D) axial symmetric problems has a longstanding history and its software has acquired the status of robustness and reliability, problems with singularities in the neighborhood of r =0 still remain a point of concern. A simple example is shown which exhibits a disturbing lack of accuracy and seems to mock all ideas of reasonability of finite-element solutions. A simple solution to the problem is presented, consisting of transforming the vector potential into a form which is better adapted to the bilinear interpolation used in first-order finite elements. For one-dimensional problems with piecewise linear materials this approach yields exact solutions; an increase in accuracy was obtained for other problems also},\n author = {Melissen, J.B.M. and Simkin, J.},\n doi = {10.1109/20.106336},\n file = {Melissen_1990aa.pdf},\n issn = {0018-9464},\n journal = {IEEE Transactions on Magnetics},\n keywords = {axisymmetric,fem,2d,magnetics,magnetostatics},\n langid = {english},\n month = mar,\n number = {2},\n pages = {391--394},\n publisher = {IEEE},\n title = {A new coordinate transform for the finite element solution of axisymmetric problems in magnetostatics},\n volume = {26},\n year = {1990},\n shortjournal = {IEEE Trans. Magn.}\n}\n\n","author_short":["Melissen, J.","Simkin, J."],"key":"Melissen_1990aa","id":"Melissen_1990aa","bibbaseid":"melissen-simkin-anewcoordinatetransformforthefiniteelementsolutionofaxisymmetricproblemsinmagnetostatics-1990","role":"author","urls":{},"keyword":["axisymmetric","fem","2d","magnetics","magnetostatics"],"downloads":0,"html":""},"bibtype":"article","biburl":"http://dl.schoeps.org/database.bib","creationDate":"2019-12-26T16:51:17.683Z","downloads":0,"keywords":["axisymmetric","fem","2d","magnetics","magnetostatics"],"search_terms":["new","coordinate","transform","finite","element","solution","axisymmetric","problems","magnetostatics","melissen","simkin"],"title":"A new coordinate transform for the finite element solution of axisymmetric problems in magnetostatics","year":1990,"dataSources":["P4aBgbzF45TWvxzbZ"]}