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- W2387187418 abstract "A boundary element projection iterative algorithm based on a fixed point equation is proposed for solving Signorini problems for the Laplacian equation,which contain the nonlinear boundary conditions.Since the Signorini boundary conditions u≥h、 u /n ≥0and(u-h)u /n =0are equivalent to the fixed point problemu/n-[u/n-c(u-h)]+=0,so that the satisfaction of the Signorini boundary conditions can be verified in a projection iterative scheme u(k+1)/n=[u(k)/n-c(u(k+1)-h)]+(k=0,1,2,…).At each iterative step,we need solve only a standard elliptic mixed boundary value problem.As the iteration process is given on the boundary,the boundary element methods are more appropriate for the algorithm.We prove the convergence of the algorithm by the property of projection and Green's formula.Finally,the numerical results show the feasibility and effectiveness of the algorithm." @default.
- W2387187418 created "2016-06-24" @default.
- W2387187418 creator A5062351359 @default.
- W2387187418 date "2014-01-01" @default.
- W2387187418 modified "2023-09-26" @default.
- W2387187418 title "A Projection Iterative Algorithm of Boundary Element Method for the Signorini Problem of Laplacian" @default.
- W2387187418 hasPublicationYear "2014" @default.
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