Abstract
We describe a method for generating anisotropic adaptive meshes for finite element solution of second‐order PDEs. The adaptive meshes allows us to minimize the gradient of a discretization error. The key element of this method is construction of a tensor metric from edge‐based error estimates. We verify with numerical experiments that for a mesh with N triangles, the energy norm of the discretization error is proportional to N−1/2 even for strongly anisotropic meshes.
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