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1.6 The choice of discretization in 1D

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In an ideal discretization the error (in energy norm) associated with each element would be the same. This ideal discretization can be approximated by automated adaptive methods in which the discretization is modified based on feedback information from previously obtained finite element solutions. Alternatively, based on a general understanding of the relationship between regularity and discretization, and understanding the strengths and limitations of the software tools available to them, analysts can formulate very efficient discretization schemes.

Finite Element Analysis

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