A projection-based error analysis of HDG methods for Timoshenko beams
نویسندگان
چکیده
منابع مشابه
A projection-based error analysis of HDG methods for Timoshenko beams
In this paper, we give the first a priori error analysis of the hybridizable discontinuous Galerkin (HDG) methods for Timoshenko beams. The analysis is based on the use of a projection especially designed to fit the structure of the numerical traces of the HDG method. This property allows to prove in a very concise manner that the projection of the errors is bounded in terms of the distance bet...
متن کاملA projection-based error analysis of HDG methods
We introduce a new technique for the error analysis of hybridizable discontinuous Galerkin (HDG) methods. The technique relies on the use of a new projection whose design is inspired by the form of the numerical traces of the methods. This renders the analysis of the projections of the discretization errors simple and concise. By showing that these projections of the errors are bounded in terms...
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In this paper, we introduce a new class of discontinuous Galerkin methods for Timoshenko beams. The main feature of these methods is that they can be implemented in an efficient way through a hybridization procedure which reduces the globally coupled unknowns to approximations to the displacement and bending moment at the element boundaries. After displaying the methods, we obtain conditions un...
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1 Abstract A class of nite element methods, the Galerkin Generalized Least Squares methods, are developed and applied to model the steady{state response of Timoshenko beams. An optimal method is designed using a linear interpolation of the response such that there is zero nite element dispersion error. The classical method of selective reduced integration and a modiied version of selective redu...
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In this paper, we analyze a hybridizable discontinuous Galerkin method for numerically solving the Stokes equations. The method uses polynomials of degree k for all the components of the approximate solution of the gradient-velocity-pressure formulation. The novelty of the analysis is the use of a new projection tailored to the very structure of the numerical traces of the method. It renders th...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2012
ISSN: 0025-5718,1088-6842
DOI: 10.1090/s0025-5718-2011-02522-6