Quantized tensor-structured finite elements for second-order elliptic PDEs in two dimensions
نویسندگان
چکیده
منابع مشابه
Tensor-structured methods for parameter dependent and stochastic elliptic PDEs
Modern methods of tensor-product decomposition allow an efficient data-sparse approximation of functions and operators in higher dimensions [5]. The recent quantics-TT (QTT) tensor method allows to represent the multidimensional data with log-volume complexity [1, 2, 3]. We discuss the convergence rate of the Tucker, canonical and QTT stochastic collocation tensor approximations to the solution...
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where ∇ and ∇· are the gradient and divergence operators, Ω ⊂ R is an open bounded cubic domain with boundary Γ, n indicates the outward unit normal vector along Γ, A−1 = (αij)3×3 is a full positive definite matrix uniformly in Ω. Mixed finite element methods [1] should be employed to discretize the system (1.1). The main content of this paper is to present an analysis for the extrapolation of ...
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ژورنال
عنوان ژورنال: Numerische Mathematik
سال: 2017
ISSN: 0029-599X,0945-3245
DOI: 10.1007/s00211-017-0899-1