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CONVERGENT ERROR-CONTROLLED MESH ADAPTATION

Abstract : In this paper, mesh adaptation is studied as a method for improving mesh convergence and error control. The mesh convergence under study is L 2-norm convergence of the approximation error. The novel mesh-adaptation method tends to minimize this error norm. It somehow extends the goal-oriented formulation since it is equation-based and uses an adjoint. The main novel ingredient is a corrector which evaluates the approximation error. Applications to a Poisson problem and to steady Euler flows are described.
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https://hal.inria.fr/hal-01256104
Contributor : Alain Dervieux <>
Submitted on : Wednesday, April 22, 2020 - 3:46:11 PM
Last modification on : Thursday, April 23, 2020 - 1:44:04 AM

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Gautier Brethes, Adrien Loseille, Frédéric Alauzet, Alain Dervieux. CONVERGENT ERROR-CONTROLLED MESH ADAPTATION. VII International Conference on Adaptive Modeling and Simulation ADMOS 2015, Jun 2015, Nantes, France. ⟨hal-01256104⟩

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