张文福;

• 1:东北石油大学防灾减灾及防护工程省高校重点实验室

摘要(Abstract)：

变分原理的推导一般采用试凑法或Lagrange乘子法.基于固体瞬态热传导的微分方程,利用奥奇西克分部积分法建立固体含源导热问题的Hamilton原理.该原理可以用于构建新的有限元数值算法,也可以用于获得一些复杂边界问题的新解析解.分析Hamilton原理在热传导问题解析解方面的应用,利用康托洛维奇—里茨杂交法给出2个算例的近似解析解和精确解析解,从而证明建立的Hamilton原理及其解析解法的正确性和有效性.讨论基于热质理论的Hamilton原理存在的问题.

关键词(KeyWords)：Hamilton原理;解析解;变分法;康托洛维奇—里茨杂交法

Abstract:

Keywords:

基金项目(Foundation):国家自然科学基金项目(51178087,51176023);; 黑龙江省教育厅重点项目(12511Z004)

作者(Author):张文福;

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