Verification of the accuracy of numerical data in the solution of a boundary value problem

摘要

The present invention relates to an estimation of computational errors appearing in the finite element calculations, particularly to method, system and program product for verification of the accuracy of numerical data measured in terms of problem-oriented criteria, where the numerical data are computed in the process of solution of a boundary value problem. In addition to the primal problem a certain adjoin problem is formed and solved. The method is based on two principles:(a) the original and adjoint problems are solved on non-coinciding meshes, and(b) the term presenting the product of errors arising in the primal and adjoint problems is estimated by the gradient recovery technique.