A priori error estimates of a finite-element method for an isothermal phase-field model related to the solidification process of a binary alloy |
| |
| Authors: | Kessler, D. Scheid, J.-F. |
| |
| Affiliation: | 1 Département de Mathématiques, Ecole Polytechnique Fédérale, 1015 Lausanne, Switzerland 2 Université Henri Poincaré Nancy 1, Institut Elie Cartan, B.P. 239, 54506 Vandoeuvre-les-Nancy Cédex, France |
| |
| Abstract: | We introduce a piecewise linear finite-element scheme with semi-implicittime discretization for an evolutionary phase field system modellingthe isothermal solidification process of a binary alloy. Thissystem can be written in a vectorial form as a nonlinear parabolicsystem. The convergence of the scheme with error estimate isthen proved by introducing a generalized vectorial ellipticprojector. |
| |
| Keywords: | phase field model parabolic system finite element a priori error estimates |
| 本文献已被 Oxford 等数据库收录！ |
|
