Integral equation methods in potential theory. I 论文
1963Proceedings of the Royal Society of London A Mathematical and Physical Sciences引用 291
Numerical methods in engineeringElasticity and Wave PropagationAdvanced Mathematical Modeling in Engineering
详细信息
- 发表期刊/会议
- Proceedings of the Royal Society of London A Mathematical and Physical Sciences
- 发表日期
- 1963-08-20
- 发表年份
- 1963
关键词
Numerical methods in engineeringElasticity and Wave PropagationAdvanced Mathematical Modeling in Engineering
摘要
Abstract This paper makes a short study of Fredholm integral equations related to potential theory and elasticity, with a view to preparing the ground for their exploitation in the numerical solution of difficult boundary-value problems. Attention is drawn to the advantages of Fredholm ’s first equation and of Green’s boundary formula. The latter plays a fundamental and hitherto unrecognized role in the integral equation formula of biharm onic problems.