欢迎您！东篱公司
退出
-
申报数据库
-
立项数据库
-
成果数据库
-
项目获奖数据库
中文摘要：
针对箱式约束变分不等式问题，利用一类积分型全局最优性条件，提出了一个新光滑gap函数．该光滑gap函数形式简单且具有较好的性质．利用该gap函数，箱式约束变分不等式可转化为等价光滑优化问题进行求解．进一步地，讨论了可保证等价光滑优化问题的任意聚点为箱式约束变分不等式问题解的条件．以一个简单的摩擦接触问题为例阐释了该方法的应用．最后，利用标准的变分不等式考题验证了方法的有效性．
英文摘要：
A new smooth gap function for box constrained variational inequality problem was proposed based on an integral global optimality condition. The smooth gap function was simple and had some good differentiable properties. The box constrained variational inequality problem could be reformulated as a differentiable optimization problem by using the proposed smooth gap function. Conditions under which any stationary point of the optimization problem was the solution to box constrained variational inequality problem were discussed. A simple frictional contact problem was analyzed to illustrate the application of this smooth gap function. Finally, numerical experiments confirmed the good theoretical properties of the method.
同期刊论文项目
同项目期刊论文
An efficient error indicator with mesh smoothing for mesh refinement: application to Poisson and Lap
The verification of the quantities of interest based on energy norm of solutions by node-based smoot
期刊信息
位置：