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We consider a 2D parabolic Monge-Ampère equation, and aim at tracking stationary solutions. A time-stepping algorithm is advocated, together with a finite element space approximation. A mesh adaptation technique is considered to track the singularities of the solutions. The approximate error indicator is based on a linearization of the Monge-Ampère operator. Numerical experiments show the numerical efficiency of the approach on several examples. | We consider a 2D parabolic Monge-Ampère equation, and aim at tracking stationary solutions. A time-stepping algorithm is advocated, together with a finite element space approximation. A mesh adaptation technique is considered to track the singularities of the solutions. The approximate error indicator is based on a linearization of the Monge-Ampère operator. Numerical experiments show the numerical efficiency of the approach on several examples. | ||
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== Abstract == | == Abstract == | ||
<pdf>Media:Draft_Content_107881929A_IDC6_73.pdf</pdf> | <pdf>Media:Draft_Content_107881929A_IDC6_73.pdf</pdf> | ||
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== Document == | == Document == | ||
<pdf>Media:Caboussat_et_al_2021b_9141_P_IDC6_73.pdf</pdf> | <pdf>Media:Caboussat_et_al_2021b_9141_P_IDC6_73.pdf</pdf> | ||
Latest revision as of 14:50, 7 June 2021
Summary
We consider a 2D parabolic Monge-Ampère equation, and aim at tracking stationary solutions. A time-stepping algorithm is advocated, together with a finite element space approximation. A mesh adaptation technique is considered to track the singularities of the solutions. The approximate error indicator is based on a linearization of the Monge-Ampère operator. Numerical experiments show the numerical efficiency of the approach on several examples.
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Published on 06/06/21
Accepted on 06/06/21
Submitted on 06/06/21
Volume CT08 - Mesh and Model Adaptivity, 2021
DOI: 10.23967/admos.2021.019
Licence: CC BY-NC-SA license
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