Results 81 to 90 of about 2,641 (225)
We introduce an efficient open‐source numerical framework for the automated search for the placements of injection and production wells in hot fracture‐controlled reservoirs that sustainably optimize geothermal energy production. We model the reservoirs as discrete fracture networks in 3D. The fluid flow and heat transport in the reservoirs are modeled
Ondřej Pártl, Ernesto Meneses Rioseco
wiley +1 more source
Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver
A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
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Colliding scalar pulses in the Einstein-Gauss-Bonnet gravity
We numerically investigated how the nonlinear dynamics depends on the dimensionality and on the higher-order curvature corrections in the form of Gauss-Bonnet (GB) terms, with a model of colliding scalar pulses in plane-symmetric space-time.
Shinkai Hisaaki, Torii Takashi
doaj +1 more source
Phase‐Pole‐Free Images and Smooth Coil Sensitivity Maps by Regularized Nonlinear Inversion
ABSTRACT Purpose Phase singularities are a common problem in image reconstruction with auto‐calibrated sensitivities due to an inherent ambiguity of the estimation problem. The purpose of this work is to develop a method for detecting and correcting phase poles in non‐linear inverse (NLINV) reconstruction of MR images and coil sensitivity maps ...
Moritz Blumenthal, Martin Uecker
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Motion of hypersurfaces by Gauss curvature [PDF]
Let \(\Omega_0\) be a bounded convex region in \(\mathbb{R}^{n+1}\) with smooth boundary \(M_0= \partial\Omega_0\). We denote by \(K\) the Gauss curvature of a hypersurface \(M\) in \(\mathbb{R}^{n+1}\) with the outward normal vector \(\nu\) for \(M\).
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Single‐Breathhold 3D MR Elastography in the Liver, With Simultaneous R2* and PDFF Mapping
Purpose To develop a sequence for the rapid acquisition of MR elastography (MRE) parameters in 3D, with simultaneous measurement of proton‐density fat fraction (PDFF) and R2* for multiparametric assessment of liver disease. Methods The proposed sequence uses an interleaved motion‐encoding scheme to acquire 3D volumes of all motion encodings and wave ...
Donovan P Tripp +10 more
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Analytical modeling of one problem of the quasiareal infinitesimal deformation of the surface
In this paper the object of study is the quasiareal infinitesimal deformation of the unrestricted simply connected regular surface of non-zero the Gauss curvature, provided that under this deformation the deviation of the surface from the tangent plane ...
Лілія Леонтіївна Безкоровайна +1 more
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$\alpha$-Gauss Curvature flows
In this paper, we study the deformation of the n-dimensional strictly convex hypersurface in $\mathbb R^{n+1}$ whose speed at a point on the hypersurface is proportional to $\alpha$-power of positive part of Gauss Curvature. For $\frac{1}{n}
Kim, Lami, Lee, Ki-ahm
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The capillary Gauss curvature flow
In this article, we first introduce a Gauss curvature type flow for capillary hypersurfaces, which we call capillary Gauss curvature flow. We then show that the flow will shrink to a point in finite time. This is a capillary counterpart (or Robin boundary counterpart) of Firey's problem studied in [Mathematika 21 (1974), pp. 1-11] and Tso [Comm.
Mei, Xinqun +2 more
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ABSTRACT Geometrically nonlinear static analysis of materially imperfect composite doubly curved shells is investigated via the generalised differential quadrature method. The effects of both shear and thickness deformation are considered through a thickness‐ and shear‐deformable third‐order theory formulated in curvilinear coordinates, while the ...
Behrouz Karami +3 more
wiley +1 more source

