Basic Study on Element-Free Galerkin Method. 1st Report. Application to Ordinary Differential Equation.

Modified weight function with automatic node generation in element‐free Galerkin method for magnetic field computation

“…where d max is a scaling factor which is chosen such that matrix A: is non-singular [7] and C I is the difference between node x I and its nearest neighbourhood when the nodal distribution is uniform. If the nodes are non-uniformly distributed, C I is taken as follows [2]…”

“…A cloud of nodes that covers the problems domain is used instead of a mesh [5,6]. Among the mesh-free methods, the element-free Galerkin method (EFGM) has been considered as the most realistic and practical scheme [7]. EFGM has been successfully employed for solving electromagnetic problems.…”

Time‐varying magnetic field analysis using an improved meshless method based on interpolating moving least squares

“…A collection of nodes which are distributed in the space are employed instead of mesh generation process [5,6]. The element-free Galerkin method (EFGM) is one of the most common and wellknown technique in mesh-free methods which have been employed to performance analysis of electromagnetic problems like induction machines analysis [7,8]. The EFGM is based on moving least squares (MLS) technique for the computation of basis function coefficients.…”