On Error Estimate Of Space-Time Finite Element Methods For Parabolic Equations In A Time-Dependent Domain
Chin-Hsien Xuan 11 China University of Science and Technology, China
Received 1984-7-24 Revised Online 2006-11-1
We consider linear parabolic equations in a space-time domain with curved boundaries and nonhomogeneous Dirichlet boundary conditions and discuss their approximations with isoparametric space-time finite elements. A general error estimate is proved and applied to some elements of practical interest.