1D-IRBFN-based Galerkin/Collocation methods for
Galerkin/collocation methods based on 1D-integrated-RBFNs for viscoelastic flows
... with 1D-IRBFN-based Galerkin/Collocation ...the Galerkin and point-collocation formulations are presently implemented with ...using 1D-IRBFNs are discussed in ...
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A numerical procedure based on 1D-IRBFN and local MLS-1D-IRBFN methods for fluid-structure interaction analysis
... analysis based on the 1D-IRBFN and LMLS-1D- IRBF methods is devised and demonstrated with the analysis of the flow inside a lid-driven open-cavity with a flexible bottom ...beam ...
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A moving IRBFN-based Galerkin meshless method
... method based on the MIRBFN interpolation and Galerkin method for solving ...‘local’ IRBFN method, the computational cost of the present Moving IRBFN approach is much better than that of the ...
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Stochastic galerkin and collocation methods for quantifying uncertainty in differential
... stochastic collocation (sc) [ 20, 26, 32 ], addresses this limitation. Sc methods utilise in- terpolation methods and project a set of deterministic simulations, evaluated using carefully chosen ...
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Stochastic Galerkin-collocation splitting for PDEs with random parameters
... STOCHASTIC GALERKIN-COLLOCATION SPLITTING FOR PDES WITH RANDOM PARAMETERS TOBIAS JAHNKE AND BENNY STEIN ...is based on an operator splitting ...stochastic Galerkin method in the stochastic ...
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Implementation of optimal Galerkin and Collocation approximations of PDEs with Random Coefficients⋆,⋆⋆
... Stochastic Collocation, relying on the concept of profit of each multi-index in the sparse ...surpluses based purely on a priori estimates and inexpensive y − one dimensional auxiliary ...
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A moving IRBFN-based integration-free meshless method
... supported IRBFN is coupled with the moving least square (MLS) approximants via the PU concept to formulate a locally supported MIRBFN interpolation ...the collocation of a first-order sys- tem formulation, ...
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Symbol-based multigrid methods for Galerkin B-spline isogeometric analysis
... multigrid methods with different smoothing and size reducing strategies) in accordance with the given spectral ...the Galerkin B-spline IgA approximation of ...
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Analysis of discontinuous Galerkin methods on surfaces
... is based on work we have done in Dedner and Madhavan [2014a], we derive a dual weighted residual-based a posteriori error estimate for the surface IP method considered in Chapter 4, restricting ourselves to ...
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Discontinuous Galerkin methods for multiphase flow
... To explain the situation, let the width of the jet be denoted δ, and let us assume that the velocity in the air outside the jet is much lower than the velocity of the water inside the jet, both purely vertical. The width ...
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Computable error bounds for collocation methods
... differential equations by global or piecewise polynomial collocation methods which are based on.. consideration of the involved differential operator, related matrices and the residual.[r] ...
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Using 1D-IRBFN method for solving high-order nonlinear differential equations arising in models of active-dissipative systems
... The 1D-IRBF and IRBF-based methods have been successfully verified previously through several engineering problems such as turbulent flows [3], laminar viscous flows [4, 5, 6], struc- tural analysis ...
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Uniformly convergent schemes for singularly perturbed differential equations based on collocation methods
... DIALLA KONATE (Received 29 May 1998) Abstract. It is well known that a polynomial-based approximation scheme applied to a singularly perturbed equation is not uniformly convergent over the geometric domain of ...
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An Extensive Empirical Study of Collocation Extraction Methods
... 1 Introduction and motivation Natural language cannot be simply reduced to lex- icon and syntax. The fact that individual words cannot be combined freely or randomly is common for most natural languages. The ability of a ...
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Spectral analysis of matrices in isogeometric collocation methods
... results and [13] for the same approach in the Galerkin B-spline IgA setting, both in the simplified case where K is the identity matrix. Finally, it is worthwhile to emphasize the mathematical tools used in our ...
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Discontinuous Galerkin methods for problems with Dirac delta source
... −∆u = δ x 0 in Ω, (1) u = 0 on ∂Ω, (2) based on employing discontinuous Galerkin (DG) nite element discretizations. Here, Ω ⊂ R 2 is an open bounded polygonal domain, and δ x 0 denotes the Dirac delta ...
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Galerkin Methods for Second Kind Integral Equations With Singularities
... the Galerkin and iterated Galerkin methods using splines on arbitrary quasiuniform meshes as approximating ...splines based on a mesh which has been suitably graded to accommodate these ...the ...
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Polymorphic nodal elements and their application in discontinuous Galerkin methods
... discontinuous Galerkin scheme and return to the issues of aliasing and instabilities caused by ...scheme based on a modal expansion and finally we use the recently developed explicit space- time ...
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Evaluation of automatic collocation extraction methods for language learning
... sen as a source input for extracting collocations. BAWE contains around 3000 good-standard stu- dent assignments (with 6,506,995 words), evenly distributed across four broad disciplinary areas (Arts and Humanities, ...
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Collocation Methods for Nonlinear Parabolic Partial Differential Equations
... numerical methods [ 31 ][ 32 ...our collocation method still converges and obtains accurate solutions with such ...the collocation method becomes more sensitive to large aspect ratio shapes when not ...
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