The Finite Element Method of High Degree of Accuracy for Boundary Value Problem with Singularity

Mathematical models of fracture physics and mechanics are boundary value problems for differential equations systems with a singularity. There two classes singularity: coordinated uncoordinated degeneracy the input data, depending on behavior coefficients equation. Finite element methods first order convergence rate O(h) have been created to find an approximate solution these problems. We construct scheme weighted finite method high degree accuracy problem data singularity solution. The proposed exact Rν-generalized in weight set W2,ν+β2+21(Ω,δ) is investigated. estimation approximation O(h2) established.