Acceleration of integration in parametric integral equations system using CUDA

Methods of solving boundary value problems are expected to achieve high accuracy results in shortest possible time of calculations. In the previous papers the authors solved boundary value problems with high accuracy using parametric integral equations system. However, time of calculations was unsatisfactory. The most time consuming part of the method is calculation of integrals. In this paper the authors present approach to accelerate numerical integration in PIES by nVidia CUDA. The speed of integration increased up to 250 times whereas high accuracy of solutions was maintained. Examples included in this paper concern solving three-dimensional elasticity problems.