.../approach The proposed HDG method for the discretization of the two‐dimensional transverse magnetic Maxwell equations relies on an arbitrary high order nodal interpolation of the electromagnetic field components and is formulated on triangular meshes. In the HDG method, an additional hybrid variable...

...James Deng; Ren Liyong; Lei Ming; Zhao Di Purpose The purpose of this paper is to improve data transmission efficiency in a P2P system. Design/methodology/approach This mechanism does not require changing existing mesh topology, and only necessary peers' evaluation mechanisms need...

... of field variables. Specific problems are implemented by mapping material coefficients to the coefficients of the generic form. An example with four natures is investigated with close coupling between electric, mechanical and thermal fields. h‐ and p‐refinement using a single mesh...

...Adrien Catella; Victorita Dolean; Stéphane Lanteri Purpose The purpose of this paper is to develop a time implicit discontinuous Galerkin method for the simulation of two‐dimensional time‐domain electromagnetic wave propagation on non‐uniform triangular meshes. Design/methodology/approach...

.... Arbitrary level hanging nodes are allowed, so that no unnecessary refinements are performed in order to keep a mesh regular. Findings Numerical solution of a singular electrostatic problem is presented. From the comparison it can be seen that the hp‐FEM outperforms both the standard linear...

...Patrick Dular; Gerard Meunier; Francis Piriou; J. Korecki; Y. Le Menach; J‐P. Ducreux; F. Piriou Purpose To compare the numerical solutions in primal and dual meshes of magnetostatic problems solved with the finite integration technique. Design/methodology/approach The development of the whole...

... (b/f) analysis method applied to solve radial and weakly meshed systems. Design/methodology/approach The model is based on the compensation currents method for multi‐port systems which has been extensively used, within b/f analysis methods, to take into account the presence of meshes and PV nodes...

...Christian Vollaire; François Musy; Ronan Perrussel Purpose Propose post processing methods for the edge finite element (FE) method on a tetrahedral mesh. They make it possible to deduce vector values on the vertices from scalar values defined on the edges of the tetrahedra. Design/methodology...

... of industrial problems depends on the particular problem definition such as presence of linear/non‐linear materials, complex geometrical structure, etc. The experience shows that the use of integral approaches allow a significant reduction of unknowns avoiding the background material meshing. It is in fact well...

... and mesh relocation method. For the design sensitivity formula, the adjoint variable vector is defined in complex form based on the 3D finite element method for eddy current problems. A new 3D mesh relocation method is also proposed using the deformation theory of the elastic body under stress to renew...