第二类抛物型变分不等式的边界元近似

The Boundary Element Approximation for the Parabolic Variational Inequalities of the Second Kind

讨论了第二类抛物型变分不等式的边界近似.首先采用时间项半离散和隐格式方法将抛物型变分不等式化解为一个椭圆变分不等式,然后讨论了非线性不可微的混合变分不等式解的存在唯一性,并给出了相应的边界混合变分不等式及其解的存在唯一性.为使用边界元方法数值求解提供了理论依据.

The Boundary element approximation for the parabolic variational inequalities of the second kind is discussed. First, the parabolic variational inequalities of the second kind can be formulated as an elliptic variational inequality by using semi-discretiazation and implicit method in time. Then the existence and uniqueness for the solution of nonlinear non-differentiable mixed variational existence and uniqueness are also obtained. Thus is provided the theoretical basis for solving the miexd variational inequality by BEM.