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As a novel semi-analytical method,the scaled boundary method weakens the governing differential equations in the circumferential direction and seeks analytical solutions in the radial direction.Through use of the improved interpolating moving least-squares(IIMLS)shape function in the circumferential direction of the scaled boundary method based on the Galerkin approach,an interpolating element-free Galerkin scaled boundary method(IEFG-SBM)is developed in this paper for analyzing steady heat conduction problems.