A hybrid boundary integral-PDE approach for the approximation of the demagnetization potential in micromagnetics

• Published in: Advances in computational mathematics Vol. 51; no. 3
• Main Authors: Arjmand, Doghonay, Calzada, Víctor Martínez
• Format: Journal Article
• Language: English
• Published: New York Springer Nature B.V 01.06.2025
• Subjects: Algorithms; Approximation; Boundary conditions; Computing costs; Convergence; Demagnetization; Demagnetization potential; Elliptic PDEs in infinite domains; Green's functions; Long range interactions; Magnetic domains; Magnetization; Mathematical analysis; Mathematics; Micromagnetism; Partial differential equations; Singularity (mathematics)

The demagnetization field in micromagnetism is given as the gradient of a potential that solves a partial differential equation (PDE) posed in Rd. In its most general form, this PDE is supplied with continuity condition on the boundary of the magnetic domain, and the equation includes a discontinuit...