@Article{JCM-17-59, author = {Han , Hou-De and Tang , Wei-Jun}, title = {The Boundary Integro-Differential Equations of a Biharmonic Boundary Value Problem}, journal = {Journal of Computational Mathematics}, year = {1999}, volume = {17}, number = {1}, pages = {59--72}, abstract = {

In this paper, a new method of boundary reduction is proposed, which reduces the biharmonic boundary value problem to a system of integro-differential equations on the boundary and preserves the self-adjointness of the original problem. Moreover, a boundary finite element method based on this integro-differential equations is presented and the error estimates of the numerical approximations are given. The numerical examples show that this new method is effective.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9082.html} }