2003 | OriginalPaper | Chapter
Estimation of the Errors of the Bubnov-Galerkin Method
Authors : Professor Jan Awrejcewicz, Professor Vadim A. Krys’ko
Published in: Nonclassical Thermoelastic Problems in Nonlinear Dynamics of Shells
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
Activate our intelligent search to find suitable subject content or patents.
Select sections of text to find matching patents with Artificial Intelligence. powered by
Select sections of text to find additional relevant content using AI-assisted search. powered by
In Sect. 3.1, an abstract coupled problem is considered and a few theorems related to the estimation of the accuracy of the Bubnov-Galerkin method are formulated and proved. The error estimates hold for a system of differential equations of a rather general form with homogeneous boundary conditions, which corresponds to coupled thermoelastic problems for plates and shallow shells with variable thickness. In addition, a particular case of this problem (with nonhomogeneous initial conditions), where a prior estimate of the errors of the Bubnov-Galerkin method is most effective, is illustrated and discussed. Finally, a prior estimate for the Bubnov-Galerkin method to a problem generalizing a class of dynamical problems of elasticity (without a heat transfer equation) for both three-dimensional and thin-walled elements of structures is given.