Applications of wavelet Galerkin FEM to bending of beam and plate structures. (English) Zbl 0919.73305

Summary: We propose an approach for calculations of higher order differentials of scaling functions in wavelet theory in order to apply the wavelet Galerkin FEM to numerical analysis of boundary value problems of order higher than 2. After this we use the wavelet Galerkin FEM to solve mechanical problems such as bending of beams and plates. The numerical results show that the method has a good accuracy.


74S05 Finite element methods applied to problems in solid mechanics
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
74K20 Plates
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