BEM computations using the fast multipole method in combination with higher order elements and the Galerkin method

• Published in: IEEE transactions on magnetics Vol. 37; no. 5; pp. 3181 - 3185
• Main Authors: Buchau, A., Rieger, W., Rucker, W.M.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: New York, NY IEEE 01.09.2001; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied classical electromagnetism; Boundary conditions; Boundary element method; Boundary element methods; Computation; Computational efficiency; Conductors; Dielectrics; Electromagnetism; electron and ion optics; Electrostatics; Electrostatics. Poisson and laplace equations, boundary-value problems; Equations; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Galerkin methods; Iterative methods; Linear systems; Magnetism; Mathematical analysis; Moment methods; Multilevel; Multipoles; Physics; Galerkin-Petrov method; Electric potential; Adaptive algorithm; Digital simulation; Theoretical study; Electric fields; Electrostatics; Boundary element method
• ISSN: 0018-9464; 1941-0069
• DOI: 10.1109/20.952572

A new approach to the adaptive multilevel fast multipole method in combination with higher order elements and the Galerkin method is presented. As the computational costs and the memory requirements are approximately proportional to the number of unknowns, very large static problems with complex geometrical configuration can be solved on a small computer.