A Fictitious Time Integration Method for Two-Dimensional Quasilinear Elliptic Boundary Value Problem,Defined in an Arbitrary Plane Domain

摘要：

Motivated by the evolutionary and dissipative properties of parabolic type partial differential equation (PDE), Liu (2008a) has proposed a natural and mathematically equivalent approach by transforming the quasilinear elliptic PDE into a parabolic one. However, the above paper only considered a rectangular domain in the plane, and did not treat the difficulty arisen from the quasilinear PDE defined in an arbitrary plane domain. In this paper we propose a new technique of internal and boundary residuals in a fictitious rectangular domain, which are driving forces for the ordinary differential equations based on the Fictitious Time Integration Method (FTIM). Several numerical examples validate the performance of the FTIM, which can easily handle the nonlinear boundary value problem, defined in an arbitrary plane domain.

关键词： Quasilinear elliptic equation Fictitious Time Integration Method (FTIM) Arbitrary plane domain Internal and boundary residuals Fictitious rectangular domain

作者: Chein-Shan Liu

作者单位: partment of Civil Engineering,National Taiwan University,Taipei,Taiwan

会议类型: 国际会议

会议名称: Third Asia-Pacific International Conference on Computational Methods in Engineering(第三届亚太国际工程中计算方法学术会议暨第九届全国工程中边界元、无网格等数值方法学术会议)(ICOME 2009)

会议地点: 南京

会议语种:英文

页码: 1

在线出版日期: 2009-10-18（万方平台首次上网日期，不代表论文的发表时间）