GPU-Accelerated 3D Mesh Deformation for Optimization Based on the Finite Element Method

Abstract

Abstract. This paper discusses a strategy for speeding up the mesh deformation process in the design-byoptimization of high-frequency components involving electromagnetic field simulations using the 3D finite element method (FEM). The mesh deformation is assumed to be described by a linear elasticity model of a rigid body; therefore, each time the shape of the device is changed, an auxiliary elasticity finite-element problem must be solved. In order to accomplish this in a very short time numerical integration and the solution of the resulting system of equations are performed using a graphics processing unit (GPU).The performance of the proposed algorithm is illustrated are verified using a complex example involving 3D FEM analysis of a dielectric-resonator filter.

Residue-Pole Methods for Variability Analysis of S-parameters of Microwave Devices with 3D FEM and Mesh Deformation

“…Another way is to use the mesh morphing technique. In this method, the mesh will not be created from scratch in every simulation, and it will be adjusted with respect to the difference of the mean values of inputs and new values for the next simulation (a new sample for the inputs) [33], [34].…”