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Assessment of the cost and accuracy of the generalized FEM. (English) Zbl 1194.74474
Summary: We address the cost versus accuracy capabilities for the generalized FEM (GFEM) which was developed in [the authors, ibid. 60, No. 10, 1639–1672 (2004; Zbl 1059.65106)] and also the construction of two-sided a posteriori error estimates, which can be used to assess the achieved accuracy at all levels of the method.
MSC:
74S05Finite element methods in solid mechanics
65N30Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (BVP of PDE)