Abstract

AbstractThis introductory chapter on the mathematical theory of finite element methods (FEMs) discusses itsh‐version for elliptic boundary value problems in the displacement formulation. Topics addressed range from a priori to a posteriori error estimates and also include weak forms of elliptic PDEs, Galerkin schemes, finite element spaces, adaptive local mesh refinement. Nonconformities and variational crimes as well as algorithmic aspects conclude the chapter.

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