The work is concerned with the development of numerical algorithms for solving direct problems of borehole geoelectrics by applying high-performance computing on GPUs. The numerical solution of the direct 2D problem is based on the finite-element method and the Cholesky decomposition for solving a system of linear equations. The software implementations of the algorithm are made by means of the NVIDIA CUDA technology and computing libraries making it possible to decompose the equation system and find its solution on CPU and GPU. The analysis of computing time as a function of the matrix order has shown that in the case at hand the computations are the most effective when decomposing on GPU and finding a solution on CPU. We have estimated the operating speed of CPU and GPU computations, as well as high-performance CPU–GPU ones. Using the developed algorithm, we have simulated electrical logging data in realistic models.