OPTIMAL INTERFACE ERROR ESTIMATES FOR A DISCRETE DOUBLE OBSTACLE APPROXIMATION TO THE PRESCRIBED CURVATURE PROBLEM
DOI10.1142/S0218202599000385zbMath0958.35059WikidataQ125370715 ScholiaQ125370715MaRDI QIDQ4522625
Mariangela Romeo, Barbara Cecon, Maurizio Paolini
Publication date: 1 January 2001
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
maximum principlebarriersnonregular potentialdouble obstacle variational inequalitynondegenerate minimizers
Singular perturbations in context of PDEs (35B25) Error bounds for boundary value problems involving PDEs (65N15) Maximum principles in context of PDEs (35B50) Phase transformations in solids (74N99)
Cites Work
- Gradient theory of phase transitions with boundary contact energy
- The gradient theory of phase transitions and the minimal interface criterion
- Asymptotics for a parabolic double obstacle problem
- A quasi-optimal error estimate for a discrete singularly perturbed approximation to the prescribed curvature problem
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