The Existence and Uniqueness of the Solution for a Kind of Second Order Elliptic Differential Equation of Variable Coefficient

Error Estimates to A Kind of Boundary Value Problem about An Elliptic Differential Equation with Variable Coefficient

“…And the variational inequality exists only one solution. (Chen, 2008) Problem (2) originates from many physics and engineering reality. The variational inequality includes an indifferentiable functional.…”

“…The variational inequality includes an indifferentiable functional. Using the regularization method (Chen, 2008), and making use of the differentiable function (R. Ding, 2005, pp.121-124), this problem was formulated as an equal variational equation. We will construct approach by finite element method and give the abstract error estimate and the error estimates of the approximation under the energy norm and 2 L -norm.…”

“…We will construct approach by finite element method and give the abstract error estimate and the error estimates of the approximation under the energy norm and 2 L -norm. For better dissertating, regularization about the variational inequality (2) and the process of solving the equal variational equation (Chen, 2008) will be iterated in the next part briefly.…”