2 results about "Linear solver" patented technology

This invention discloses a method, apparatus, and medium for solving variable quantum linear problems in subspaces. The method includes: determining the system of linear equations to be solved, constructing a variable quantum circuit and a Krylov subspace, and using the generalized minimum residual method and the variable quantum circuit to calculate an approximate solution of the system of linear equations to be solved in the subspace. This addresses the shortcomings of existing technologies and can reduce the time complexity and computational load of solving linear problems.

This application provides a nonlinear finite element accelerated solution system and method. The system includes: a physical information neural network model construction module configured to: acquire configuration points in the solution domain of the nonlinear partial differential equation to be solved; input the configuration points into a fully connected neural network to obtain a predicted solution; and obtain a physical information neural network model based on the predicted solution; an input module configured to: construct a finite element model of the nonlinear partial differential equation to be solved; transform the nonlinear partial differential equation to be solved into a system of nonlinear algebraic equations; and generate a predicted value vector based on the finite element model; and a solution module configured to: solve the system of nonlinear algebraic equations using a nonlinear solver to obtain the target solution. This addresses the problem that in current finite element methods for parameterized research scenarios, each time a new parameter value is input, a complete and computationally expensive nonlinear finite element solution process needs to be started independently, leading to repetitive calculations and low efficiency.