Results 21 to 30 of about 61,908 (253)
Localized direct boundary–domain integro–differential formulations for scalar nonlinear boundary-value problems with variable coefficients [PDF]
, 2005 Mixed boundary-value Problems (BVPs) for a second-order quasi-linear elliptic partial differential equation with variable coefficients dependent on the unknown solution and its gradient are considered.
Mikhailov, SE
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On Quasi-Interpolation Operators in Spline Spaces
, 2016 We propose the construction of a class of L 2 stable quasi-interpolation operators onto the space of splines on tensor-product meshes, in any space dimension. The estimate we propose is robust with respect to knot repetition and to knot "vicinity" (up to p + 1 knots), so it applies to the most general scenario in which the B-spline functions are known ...
A Buffa +3 more
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Localized direct boundary-domain integro-differential formulations for incremental elasto-plasticity of inhomogeneous body [PDF]
, 2006 A quasi-static mixed boundary value problem of incremental elasto-plasticity for a continuously inhomogeneous body is considered. Using the two-operator Green–Betti formula and the fundamental solution of a reference homogeneous linear elasticity problem,
Mikhailov, SE
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A kind of improved univariate multiquadric quasi-interpolation operators
Computers & Mathematics with Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ren-Hong Wang 0001, Min Xu, Qin Fang
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The BEM with graded meshes for the electric field integral equation on polyhedral surfaces [PDF]
, 2015 We consider the variational formulation of the electric field integral equation on a Lipschitz polyhedral surface $\Gamma$. We study the Galerkin boundary element discretisations based on the lowest-order Raviart-Thomas surface elements on a sequence of ...
Bespalov, Alex, Nicaise, Serge
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On a quasi-interpolating Bernstein operator
Journal of Approximation Theory, 2015 A special case of the modification of Lagrange interpolation due to Bernstein is considered as follows: \[ B_{n}(f,x) := B_{n,1}(f,x) = \sum_{i=1}^{[n/2]} \, f(x_{2i-1}) \{ l_{2i-1}(x)+l_{2i}(x) \} + (n-2[n/2]) f(x_{n}) l_{n}(x), \] where \(x_{i} := x_{in} = \cos t_{i},\) \(t_{i} := \frac{2i-1}{2n} \pi,\) \(i = 1,2,\ldots, n\) are the roots of the ...
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Construction Techniques for Highly Accurate Quasi-Interpolation Operators
Journal of Approximation Theory, 1997 The authors consider univariate quasi-interpolants of the form \[ f_h(x)= \sum^{+\infty}_{-\infty} f(hj)\varphi_h(x/h- j), \] for \(x\in\mathbb{R}\) and \(h>0\), where \(\varphi_h\) is in turn a linear combination of translates \(\psi(x- jh)\) of a function \(\psi\) in \(C^\ell(\mathbb{R})\). Thus the sampling distance of the data \(f(jh)\) is actually
Schaback, Robert, Wu, Zongmin
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Local high-order regularization and applications to hp-methods
, 2015 We develop a regularization operator based on smoothing on a locally defined length scale. This operator is defined on $L_1$ and has approximation properties that are given by the local regularity of the function it is applied to and the local length ...
Karkulik, Michael, Melenk, Jens Markus
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Error estimates for some quasi-interpolation operators [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 1999 Explicit bounds on the constants for two quasi-interpolation operators which are modifications of the classical Clément-operator is derived. The estimates proposed are crucial for the construction of explicit constants which appear in the commonly used a posteriori error estimates. The obtained results are also compared with corresponding estimates for
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Bivariate hierarchical Hermite spline quasi--interpolation
, 2016 Spline quasi-interpolation (QI) is a general and powerful approach for the construction of low cost and accurate approximations of a given function. In order to provide an efficient adaptive approximation scheme in the bivariate setting, we consider ...
Bracco, Cesare +3 more
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