The Cahn–Hilliard gradient theory for phase separation with non-smooth free energy Part II: Numerical analysis
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Publication:4017384
DOI10.1017/S0956792500000759zbMath0810.35158OpenAlexW2138026128MaRDI QIDQ4017384
James F. Blowey, Charles M. Elliott
Publication date: 16 January 1993
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0956792500000759
Numerical optimization and variational techniques (65K10) Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) PDEs in connection with fluid mechanics (35Q35) Free boundary problems for PDEs (35R35)
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Cites Work
- Computations on the Cahn-Hilliard model of solidification
- An \(L^ 2\)-error estimate for an approximation of the solution of a parabolic variational inequality
- A second order splitting method for the Cahn-Hilliard equation
- Evaluation de l'erreur d'approximation pour une inéquation parabolique rélative aux convexes dependant du temps
- Error estimates for an approximation of a problem of percolation in gently sloping beaches
- \(L^{\infty}\)-error estimate for an approximation of a parabolic variational inequality
- Numerical Studies of the Cahn-Hilliard Equation for Phase Separation
- Splitting Algorithms for the Sum of Two Nonlinear Operators
- A Convergence Estimate for an Approximation of a Parabolic Variational Inequality
- An Error Estimate for the Truncation Method for the Solution of Parabolic Obstacle Variational Inequalities
