20.500.12556/RUL-154324 Calculation of stationary magnetic fields based on the improved quadrature formulas for a simple layer potential This research deals with precision calculations of stationary magnetic fields of volumetric bodies. The electrostatics analogy allows for the use of a scalar magnetic potential, which reformulates the original task as a boundary value problem for the Laplace equation. We approach this with the boundary element method, specifically in distance ranges close to the magnetized surface, where existing standard numerical methods are known to struggle. This work presents an approach based on the improved quadrature formulas for the simple layer potential and its normal derivative. Numerical tests confirm significant improvements in calculating the field at any distance from the surface of the magnet. boundary element method magnetic fields numerical integration Laplace equation Fredholm integral equation metoda robnih elementov magnetna polja numerična integracija Laplaceova enačba Fredholmova integralna enačba true false true Angleški jezik Slovenski jezik Članek v reviji 2024-02-07 09:42:36 2024-02-07 09:42:39 2025-08-08 13:31:17 0000-00-00 00:00:00 2024 0 0 16 str. iss. 1, [article no.] 21 Vol. 12 2024 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 519.62 2227-7390 10.3390/math12010021 184054275 Reznichenko,_Podrzaj,_Peperko_-_Calculation_of_stationary_magnetic_fields_based_on_the_improved_quadrature_formulas_for_a_simple_layer_potential.pdf Reznichenko,_Podrzaj,_Peperko_-_Calculation_of_stationary_magnetic_fields_based_on_the_improved_quadrature_formulas_for_a_simple_layer_potential.pdf 1 759B41318B1F21A1AB4DBFAE38524B14 25a3a2fe34ef8abe3d9acb30b5210a34b00fb2b52bbe42f3ca07c2c3aa390e9c 8ce8e898-c595-11ee-8be4-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=180675 https://www.mdpi.com/2227-7390/12/1/21 1 d9b3e594-c594-11ee-8be4-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=180674 Fakulteta za strojništvo 0 0 0