[PDF] Top 20 Reduced-Basis Output-Bound Methods for Elliptic Partial Differential Equations
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Reduced-Basis Output-Bound Methods for Elliptic Partial Differential Equations
... is the Biot number, a nondimensional heat transfer coefficient reflecting convective transport to the air at the fin surfaces; and L and t are the length and thickness of the subfins (normalized relative to the post ... See full document
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Reduced-Basis Output-Bound Methods for Elliptic Partial Differential Equations
... [r] ... See full document
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Reduced-Basis Output Bound Methods for Elliptic Partial Differential Equations
... line blakbox redued-basis output bound method.. for the predition of outputs of interest assoiated.[r] ... See full document
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An overview of blackbox reduced-basis output bound methods for elliptic partial differential equations
... [r] ... See full document
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Certified reduced basis approximation for parametrized partial differential equations and applications
... of reduced dimension O(N ) for each Online evaluation; in both the cases, classical iterative procedure - such as fixed point or Newton-type algorithms - can be ... See full document
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Comparative Analysis of Finite Difference Methods for Solving Second Order Linear Partial Differential Equations
... difference methods of solution are applied to a two dimensional second order linear elliptic partial differential equation with specified boundary ... See full document
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Reliable real-time solution of parametrised elliptic partial differential equations: Application to elasticity
... a partial-differential-equation-induced input – output ...liptic partial differential equations with affine parameter de- ...convergent reduced–basis ... See full document
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High Order Solution of Elliptic Partial Differential Equations in Domains Containing Conical Singularities
... As far as we know, these are by far the most accurate solutions to date for the cases we considered, namely, solutions of the Laplace equation in three dimensional space, which blow up at a conical point of general cross ... See full document
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Alternating direction implicit methods for partial differential equations
... linear equations for the unknown nodal values ...an elliptic equation by finite difference methods reduces to the solution of a system of simultaneous linear equations* however, since there is ... See full document
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Block Unification Scheme for Elliptic, Telegraph, and Sine Gordon Partial Differential Equations
... convert elliptic and hyperbolic partial differential eq- uations (PDEs) into systems of boundary value problems and initial value problems in ordinary differential equations (ODEs) by ... See full document
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An Introduction to Numerical Methods for the Solutions of Partial Differential Equations
... linear elliptic operators was carried through to the analytic case by ...of partial differential equations were generally understood to be classical solutions, that is, k for a ... See full document
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Operator compact exponential approximation for the solution of the system of 2D second order quasilinear elliptic partial differential equations
... linear elliptic equations many numerical schemes have been discussed which date back to the year 1984 (see ...nonlinear elliptic partial differential equa- tions numerically finds strong ... See full document
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hp Version discontinuous Galerkin methods on polygonal and polyhedral meshes
... second–order elliptic partial differential equations; see, for example, ...the basis of the now popular class of so–called interior penalty (IP) DGFEMs, ...of partial ... See full document
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Multiscale Methods for Elliptic Partial Differential Equations and Related Applications
... multiscale basis functions, we subdivide each coarse grid element into M uniform triangular sub-elements and apply the IFE method of [68] for basis function calculation on each coarse ...the basis ... See full document
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Reduced-basis Output Bound Methods for Parametrised Partial Differential Equations
... [r] ... See full document
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Blackbox reduced-basis output bound methods for shape optimisation
... blackbox reduced-basis output bound method for the prediction of outputs of coercive partial differential equations with affine param- eter ...the reduced-basis space ... See full document
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On Approximate Solutions for Time-Fractional Diffusion Equation
... This work involves an investigation on the utilization of the new preconditioned fractional rotated finite difference method for solving 2D Time-Fractional Diffusion Equations. An outline of this paper is as ... See full document
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Numerical solution methods for fractional partial differential equations
... fractional differential equations have attracted attention in the areas of science and ...of equations is their nonlocal property in time or ...the differential operator is a local op- erator, ... See full document
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Explicit Jacobi elliptic exact solutions for nonlinear partial fractional differential equations
... Nonlinear partial fractional equations are very effective for the description of many phys- ical phenomena such as rheology, the damping law, diffusion processes, and the nonlin- ear oscillation of an ... See full document
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Nonlinear theory of resonant slow MHD waves in twisted magnetic flux tubes
... Abstract. The nonlinear dynamics of resonant slow MHD waves in weakly dissi- pative plasmas is investigated in cylindrical geometry with a twisted equilibrium magnetic field. Linear theory has shown that the wave motion ... See full document
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