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The resulting variational problem is proved to be well posed and is discretized by means of standard piecewise linear finite elements. Transmission conditions are imposed by means of a piecewise linear Lagrange multiplier on the surface separating the domains of both potentials. Error estimates for the numerical method are proved and the results of some numerical tests are reported to assess the performance of the method.<\/jats:p>","DOI":"10.1137\/06067568x","type":"journal-article","created":{"date-parts":[[2008,3,26]],"date-time":"2008-03-26T18:05:19Z","timestamp":1206554719000},"page":"1338-1363","source":"Crossref","is-referenced-by-count":20,"title":["A Finite Element Method for the Magnetostatic Problem in Terms of Scalar Potentials"],"prefix":"10.1137","volume":"46","author":[{"given":"Alfredo","family":"Berm\u00fadez","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Rodolfo","family":"Rodr\u00edguez","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Pilar","family":"Salgado","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2008,3,26]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1002\/1097-0207(20001010)49:4<573::AID-NME964>3.0.CO;2-N"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1099-1476(199806)21:9<823::AID-MMA976>3.0.CO;2-B"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1109\/20.123862"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142901390780"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1109\/20.497322"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1109\/20.250643"},{"key":"R7","unstructured":"A. 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