Numerical analysis of a free boundary problem with non-local obstacles

DOI10.1016/j.aml.2022.108414zbMath1500.65029OpenAlexW4293521979MaRDI QIDQ2080864

Hayk Mikayelyan, Zhilin Li

Publication date: 11 October 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108414

zbMATH Keywords

free boundary\(\mathrm{SOR}( \omega )\) iterationobstacle-like minimization problem

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Finite difference methods for boundary value problems involving PDEs (65N06) Transport equations (35Q49)

Cites Work

• Unnamed Item
• The obstacle problem revisited
• Optimal rearrangement problem and normalized obstacle problem in the fractional setting
• On some nonlocal problems in the calculus of variations
• Constrained and unconstrained rearrangement minimization problems related to the \(p\)-Laplace operator
• Maximisation and minimisation on classes of rearrangements
• Cylindrical optimal rearrangement problem leading to a new type obstacle problem
• On theL^∞-maximization of the solution of Poisson's equation: Brezis–Gallouet–Wainger type inequalities and applications
• ERRATUM: Cylindrical optimal rearrangement problem leading to a new type obstacle problem

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