Adjoint A Posteriori Error Measures for Anisotropic Mesh Optimisation
نویسندگان
چکیده
منابع مشابه
Anisotropic mesh adaptation based upon a posteriori error estimates
An anisotropic mesh adaptation strategy for finite element solution of elliptic differential equations is considered. The adaptation method generates anisotropic adaptive meshes as quasiuniform ones in some metric space. The associated metric tensor is computed by means of a posteriori hierarchical error estimates. A global hierarchical error estimate is employed in this study to obtain reliabl...
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Boundary or interior layers are usually highly directional solution features. Thus, suitable anisotropic meshes, reflecting the directional features of the solution, provide the basis for the most efficient numerical approximation. Anisotropic mesh design strategies based upon a priori analysis have been developed for a variety of PDE problems and discretisations. On the other hand a posteriori...
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A new anisotropic mesh adaptation strategy for finite element solution of elliptic differential equations is presented. It generates anisotropic adaptive meshes as quasi-uniform ones in some metric space, with the metric tensor being computed based on hierarchical a posteriori error estimates. A global hierarchical error estimate is employed in this study to obtain reliable directional informat...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2006
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2006.11.003