Multidimensional P-version Finite Element for Ablative TPS
نویسندگان
چکیده
منابع مشابه
Some Schwarz Algorithms for the P-version Finite Element Method
Domain decomposition methods based on the Schwarz framework were originally proposed for the h-version nite element method for elliptic problems. In this paper, we consider instead the p-version, in which increased accuracy is achieved by increasing the degree of the elements while the mesh is xed. We consider linear, scalar, self adjoint, second order elliptic problems and quadrilateral elemen...
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Already very early Prof. Oleg Zienkiewicz pointed to potential advantages of using higher order instead of low order shape functions for the finite element method [1]. The p-version as a systematic extension process of the finite element method leaves the mesh unchanged and increases the polynomial degree of the shape functions locally or globally [5]. It has turned out to be a very efficient d...
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The nonoverlapping domain decomposition methods form a class of domain decomposition methods, for which the information exchange between neighboring subdomains is limited to the variables directly associated with the interface, i.e. those common to more than one subregion. Our objective is to design algorithms in 3D for which we can find an upper bound on the condition number κ of the precondit...
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This paper considers the model problem in two-dimensional domain. The a posteriori error indicator for p-version Finite Element Methods (FEM) is discussed, and the reliable property of this a posteriori error indicator is investigated. Specially, we reformulate the a posteriori error indicator by orthogonal polynomials, which is easily used in practical applications.
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This paper presents a exible approach to domain decomposition preconditioning for problems expressed in terms of local stiiness matrices of subdomains. Evaluation of the preconditioner requires fully parallelizable local computations and the solution of a global auxiliary problem with few variables per subdomain. Convergence factors can be bounded using properties of the local stiiness matrices...
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ژورنال
عنوان ژورنال: TRANSACTIONS OF THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES, SPACE TECHNOLOGY JAPAN
سال: 2009
ISSN: 1347-3840
DOI: 10.2322/tstj.7.pc_105