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| + | ==Abstract== | ||
| + | A continuation anisotropic adaptive algorithm to solve elliptic PDEs is pre sented. The p-laplacian problem and the Stokes equation are considered. The algorithm | ||
| + | is based on an a posteriori error indicator justified in [7] and [10]. The goal is to produce | ||
| + | an anisotropic mesh such that the relative estimated error is close to a preset tolerance | ||
| + | TOL. A continuation method is used to decrease TOL. Numerical results show that the | ||
| + | computational time is considerably reduced when using such a continuation algorithm. | ||
Revision as of 11:27, 24 May 2023
Abstract
A continuation anisotropic adaptive algorithm to solve elliptic PDEs is pre sented. The p-laplacian problem and the Stokes equation are considered. The algorithm is based on an a posteriori error indicator justified in [7] and [10]. The goal is to produce an anisotropic mesh such that the relative estimated error is close to a preset tolerance TOL. A continuation method is used to decrease TOL. Numerical results show that the computational time is considerably reduced when using such a continuation algorithm.
Document information
Published on 24/05/23
Submitted on 24/05/23
Volume Recent Developments in Methods and Applications for Mesh Adaptation, 2023
DOI: 10.23967/admos.2023.060
Licence: CC BY-NC-SA license
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