In this paper, for the colltact problem in elasticity, we proposed a new mixed variational formulation, which is the base for the dual mixed finite element method of the contact problem.
In this paper, for the colltact problem in elasticity, we proposed a new mixed variational formulation, which is the base for the dual mixed finite element method of the contact problem.
A Decomposition method for solving quadratic programming (QP) with boxconstraints is presented in this paper. It is similar to the iterative method forsolving linear system of equations. The main ideas of the algorith...
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A Decomposition method for solving quadratic programming (QP) with boxconstraints is presented in this paper. It is similar to the iterative method forsolving linear system of equations. The main ideas of the algorithm are to splitthe Hessian matrix Q of the oP problem into the sum of two matrices N and Hsuch that Q = N + H and (N - H) is symmetric positive definite matrix ((N, H)is called a regular splitting of Q)[5]. A new quadratic programming problem withHessian matrix N to replace the original Q is easier to solve than the originalproblem in each iteration. The convergence of the algorithm is proved under certainassumptions, and the sequence generated by the algorithm converges to optimalsolution and has a linear rate of R-convergence if the matrix Q is positive definite,or a stationary point for the general indefinite matrix Q, and the numerical resultsare also given.
In this paper, the elastic contact problems in which no friction is present andtheir linear finite element approximation have been considered. First the elasticcontact problems are classified intuitively according to ...
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In this paper, the elastic contact problems in which no friction is present andtheir linear finite element approximation have been considered. First the elasticcontact problems are classified intuitively according to the different location ofcontact boundary, and for one cases a new proof of existence of the solution ofproblem has been presented. Next a general error estimation of linear finite elementapproximation to the contact problem has been obtained under weaker assumptionfor the regularity of the solution of problem.
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