{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,15]],"date-time":"2026-01-15T04:14:51Z","timestamp":1768450491700,"version":"3.49.0"},"reference-count":15,"publisher":"Society of Exploration Geophysicists","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2003,1,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>Formulas for the gravity potential, field, and field gradient tensor are derived for a polyhedral target body of a spatially linear density medium. The formulas also define the magnetic potential and field in the case of a medium of spatially linear magnetization. This work generalizes existing solutions for the gravity field of a polyhedral target of linearly varying density.<\/jats:p>\n                  <jats:p>The formulas are analyzed for singularities and for numerical error growth. Error growth with increasing target distance is found to be higher than in the corresponding uniform polyhedral case. Examination of the error sources reveals that some error reduction is possible. On this basis, new algorithms of improved error control over existing algorithms are proposed for the linear medium. Computational results confirm the expected improvement.<\/jats:p>","DOI":"10.1190\/1.1543203","type":"journal-article","created":{"date-parts":[[2003,3,3]],"date-time":"2003-03-03T16:20:37Z","timestamp":1046708437000},"page":"157-167","source":"Crossref","is-referenced-by-count":87,"title":["Gravimagnetic anomaly formulas for polyhedra of spatially linear media"],"prefix":"10.1190","volume":"68","author":[{"given":"Horst","family":"Holstein","sequence":"first","affiliation":[{"name":"\u2217University of Wales, Aberystwyth, Department of Computer Science, Aberystwyth, Ceredigion, SY23 3DB, United Kingdom. E-mail: hoh@aber.ac.uk."}]}],"member":"186","published-online":{"date-parts":[[2002,9,10]]},"reference":[{"key":"2025121115124891400_R1","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511549816","volume-title":"Potential theory in gravity and magnetic applications","author":"Blakely","year":"1995"},{"key":"2025121115124891400_R2","first-page":"70","volume":"64","author":"Guptasarma","year":"1999","journal-title":"New scheme for computing the magnetic field resulting from a uniformly magnetized arbitrary polyhedron"},{"key":"2025121115124891400_R3","first-page":"75","volume":"64","author":"Hansen","year":"1999","journal-title":"An analytical expression for the gravity field of a polyhedral body with linearly varying density"},{"key":"2025121115124891400_R4","doi-asserted-by":"crossref","first-page":"1327","DOI":"10.1190\/1.1574672","article-title":"Discussion on: \u201cAn analytical expression for the gravity field of a polyhedral body with linearly varying density\u201d, Hansen R. 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