Error Control and Andaptivity for a Phase Relaxation Model
Zhiming Chen, Ricardo H. Nochetto, Alfred Schmidt (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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The phase relaxation model is a diffuse interface model with small parameter which consists of a parabolic PDE for temperature and an ODE with double obstacles for phase variable . To decouple the system a semi-explicit Euler method with variable step-size is used for time discretization, which requires the stability constraint . Conforming piecewise linear finite elements over highly graded simplicial meshes with parameter are further employed for space discretization. error estimates...