2 results about "Domain decomposition methods" patented technology

The application discloses a spatial data spectral domain decomposition method and device applying Laplace operator, and belongs to the technical field of three-dimensional spatial perception data. In view of the three-dimensional space field model construction widely existing in the coal mine scene, the space model coordinate transformation has the invariance representation, the space model is not dependent on the specific coordinate and is decomposed, and the decomposition quantity is used for coding and decoding; the Laplace operator calculation based on cotangent and Hodge dual area is carried out on the original characteristic spectrum, so that the calculation of the characteristic value and the characteristic equation of the original model is realized, and the original model is smoothed and spectrally decomposed and visualized by using the characteristic value and the characteristic equation. The space occupation is low, the model calculation time is low, the fine part is convenient to express, the number of features k can be selected according to the selected precision requirement, the original model is restored, and details of the original model are selected and reserved according to the number of k.

This invention discloses a fast algorithm for solving two-dimensional nonlinear steady-state temperature fields using an improved domain decomposition method. This algorithm divides the solution domain into multiple non-overlapping sub-regions, enabling parallel computation of the nonlinear physical field distribution in each sub-region, thus avoiding the need to construct and store large global matrices in traditional finite element methods. Compared to overlapping domain decomposition methods, this invention simplifies the sub-domain partitioning process and only considers the sub-domain boundary nodes as overlapping parts, reducing the computational scale. Compared to non-overlapping domain decomposition methods, this invention relies on Dirichlet boundary condition interaction information, resulting in faster iterative convergence. This invention uses the improved domain decomposition method to solve the finite element model of the nonlinear steady-state temperature field. The steady-state temperature field distribution in each sub-region can be computed in parallel using the multi-threaded processor of the computing platform. Compared to finite element software, this invention can improve the computational speed for solving the nonlinear steady-state temperature field distribution of a contactor by up to 3.38 times.