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Geometrical symmetry often occurs in computational electromagnetics. However, it is generally not taken into account when the excitations do not share this symmetry. A rationale is required, and group theory gives the only valuable tool for this purpose. It provides a symmetric decomposition of any problem that allows its study on a reduced part of the initial geometry. This way of treating field problems generally leads to substantial computational savings. The symmetry concept is applied in the paper to 3-D linear eddy-current analysis, where the numerical scheme used is a mixed FEM–BEM method. Detailed examples are presented to demonstrate the efficiency of the use of symmetry.
Inspec keywords: symmetry; group theory; eddy currents; geometry; finite element analysis; boundary-elements methods
Other keywords: group theory; computational electromagnetics; symmetrical 3-D eddy-current problems; geometrical symmetry; mixed FEM-BEM method
Subjects: Algebra; Numerical approximation and analysis; Algebra; Steady-state electromagnetic fields; electromagnetic induction; Geometry, differential geometry, and topology; Finite element analysis; Electrical engineering computing; Combinatorial mathematics; Combinatorial mathematics; Finite element analysis; Combinatorial mathematics; Electromagnetic induction; Numerical analysis; Algebra; Group theory