Abstract
A method for adaptive construction of nearly optimal finite element meshes is presented. The method is based on the notion of mesh density. For parametrized problems, optimal meshes for new parameter values can be predicted from previous meshes. The method is of the one shot type, normally giving a sufficiently good approximation to the optimal mesh at the first attempt, but when the first shot is unsuccessful the method can be iterated. For parametrized problems, no ‘coarse mesh’ solutions are required except for the very first problem and whenever the method fails in providing an acceptable mesh, and iteration becomes necessary.
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