Computational efficiency of linear system construction for MLPG method on a multicore computer

A contact problem is simulated and surface stresses are analyzed in order to determine the conditions for crack initiation due to fretting fatigue. A weak-form Meshless Local Petrov-Galerkin (MLPG) method is used for simulating the displacements in the material, due to the applied external forces. The solution accuracy increases with higher nodal densities under the contact but so does the calculation time. To manage the computation time, parallel programming is used. Experimental setup is built around a 16-core processor with simultaneous multi-threading (SMT) capabilities to test how well the parallelism in modern hardware can be exploited for solving a single task. We analyze computation times of the linear system construction to evaluate the maximum expected efficiency of parallelization.