@Article{JCM-17-1, author = {Hou-De, Han and Wei-Jun, Tang}, 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/1999-JCM-9082}, url = {https://global-sci.com/article/85598/the-boundary-integro-differential-equations-of-a-biharmonic-boundary-value-problem} }