Global ETD Search
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Showing 1 to 10 of 10 for “"Approximation spaces"”.
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On Symmetric Operator Ideals and s-Numbers
… and its adjoint <em>T</em>∗ between Banach spaces. For non-compact operator <em>T</em> ∈ <em>L</em>(<em>X, Y</em> ), we do not have a lot of information about the relationship between n-th <em>s</em>-number, <em>s</em><em>n</em>(T), with <em>s</em><em>n</em>(<em>T</em>∗ ), however, in …
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A Continuous/Discontinuous FE Method for the 3D Incompressible Flow Equations
… is does not require the velocity and pressure approximation spaces to satisfy the usual inf-sup condition, thus equal order finite element approximations for both velocity and pressure can be used. Furthermore, by using cG discretization for the Poisson equation, no auxiliary equations are …
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Reduced basis method for quantum models of crystalline solids
… are (i) rapidly convergent global reduced basis approximation spaces; (ii) an offline-online computational procedure to decouple the generation and projection stages of the approximation process; and (iii) inexpensive a posteriori error estimation procedure for outputs of interest. We first …
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A Class of Immersed Finite Element Spaces and Their Application to Forward and Inverse Interface Problems
A class of immersed finite element (IFE) spaces is developed for solving elliptic boundary value problems that have interfaces. IFE spaces are finite element approximation spaces which are based upon meshes that can be independent of interfaces in the domain. Three different quadratic IFE spaces …
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On the development of an efficient truly meshless discretization procedure in computational mechanics
… method is truly meshless in the sense that the approximation spaces are generated and the numerical integration is performed without a mesh. While the theory behind meshless techniques is rather straightforward, the generation of a computationally efficient scheme is quite difficult. …
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Operator-adapted finite element wavelets : theory and applications to a posteriori error estimation and adaptive computational modeling
… of a domain we begin by constructing approximation spaces at each level of discretization spanned by conforming finite element interpolation functions. The solution to the virtual work equation can then be expressed as a telescopic sum consisting of the solution on the coarsest mesh …
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A Spectral Element Method for Viscoelastic Fluid Flow
… fluid in two dimensions, the spectral element approximations of the Stokes and Navier-Stokes equations are established, based on the primitive variables: velocity and presure. An Uzawa algorithm is introduced to decouple the original saddle point problem into two symmetric positive definite …
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Simulation of deformation and fracture in very large shell structures
… afforded by DG methods in the choice of approximation spaces is exploited to prevent locking naturally, without recourse to mixed methods or reduced integration. Hence, the DG discretization elegantly solves both the problems of scalability and locking simultaneously. A stress …
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Model order reduction methods for data assimilation : state estimation and structural health monitoring
… computational procedures to construct local approximation spaces in subregions of the computational domain in which the best-knowledge model is defined. Third, we present an adaptive strategy to handle experimental noise in the observations. We apply our approach to a companioni heat transfer …
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Polytope-based topology optimization using a mimetic-inspired method
… that it does not require explicit computation of approximation spaces. In VEM, the deformation states of an element are kinematically decomposed into rigid body, linear and higher order modes. The discrete bilinear form is constructed to capture the linear deformations exactly which ensures that …