On optimal convergence rate of finite element solutions of boundary value problems on adaptive anisotropic meshes

Author:

Agouzal Abdellatif,Lipnikov Konstantin,Vassilevski Yuri V.

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis,General Computer Science,Theoretical Computer Science

Reference23 articles.

1. Anisotropic mesh adaptation for solution of finite element problems using hierarchical edge-based error estimates;Agouzal,2009

2. Hessian-free metric-based mesh adaptation via geometry of interpolation error;Agouzal;Comput. Math. Math. Phys.,2010

3. Edge-based a posteriori error estimators for generating quasi-optimal simplicial meshes;Agouzal;Math. Model. Nat. Phenom.,2010

4. Minimization of gradient errors of piecewise linear interpolation on simplicial meshes;Agouzal;Comput. Methods Appl. Mech. Eng.,2010

5. Finite elements for transonic potential flows;Berger;Numer. Methods PDEs,1990

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1. Adaptive FEM with Domain Decomposition Method for Partitioned-Based Fluid–Structure Interaction;Arabian Journal for Science and Engineering;2015-05-30

2. On the Lq-saturation property for functions from W2,p(Ω);Applied Mathematics Letters;2012-12

3. Families of meshes minimizing P 1 interpolation error for functions with indefinite Hessian;Russian Journal of Numerical Analysis and Mathematical Modelling;2011-01

4. Families of Meshes Minimizing P 1 Interpolation Error;Proceedings of the 20th International Meshing Roundtable;2011

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