Numerical approximations to the linear elastic system are traditionally based on the finite element method. Here we propose a new formulation based on the spectral collocation method. A rigorous theoretical analysis is developed in order to prove the stability and convergence properties of the collocation scheme. We also consider domain decomposition methods in order to handle complex geometries and non-smooth data. Finally we present several numerical results for some examples concerning benchmark problems in geomechanics.
Numerical solution of linear elastic problems by spectral collocation methods
CIVIDINI, ANNAMARIA;A. QUARTERONI;
1993-01-01
Abstract
Numerical approximations to the linear elastic system are traditionally based on the finite element method. Here we propose a new formulation based on the spectral collocation method. A rigorous theoretical analysis is developed in order to prove the stability and convergence properties of the collocation scheme. We also consider domain decomposition methods in order to handle complex geometries and non-smooth data. Finally we present several numerical results for some examples concerning benchmark problems in geomechanics.File in questo prodotto:
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