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Poincaré constants for finite element stars

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IMA Journal of Numerical Analysis
Year: 2012 | Volume: 32, Issue: 1 | Journal Article |
We derive sharp and explicit upper bounds for possibly weighted Poincaré constants of finite element stars. The latter are star-shaped domains that consist of a finite number of nonoverlapping simplices or parallelepipeds which all share a common vertex. Bounds for Poincaré constants are needed in deriving error estimates for quasi-interpolation operators and a posteriori upper bounds.Show More

Poincaré constants for finite element stars

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Year: 2012 | Volume: 32, Issue: 1 | Journal Article |
A superwide band (SWB) microstrip fractal antenna for 5G communication is proposed in this paper and a snowflake like structure is achieved using star shaped fractal geometry. The configuration of the proposed design has a substrate of Rogers RT5880 having thickness of 0.787mm, dielectric constant of 2.2 and loss tangent of 0.0009. The presented antenna is simulated using CST Microwave studio and ...Show More
In this work, a star shaped patch with an outer ring structure is designed in the simulator for microwave head imaging applications. The designed antenna operatres from 1.47 GHz to 4.7 GHz with an impedance matching of greater than 10 dB. The antenna attains a peak gain of 3.8 dBi at 4.3 GHz. The Specific Absorption rate (SAR) of the designed antenna is checked to evaluate the effect of the antenn...Show More
A Microstrip Dual band patch antenna array with coaxial feed which resonates at 29-30 GHz (ka band) and 57-66 GHz (unlicensed V band) is presented in this paper. The unit cell is a star shaped patch antenna with thin low cost substrate (FR4 Epoxy substrate, with relative permittivity of 4.4 and a thickness of 1.6 mm) in which slots were created and it has a max gain of 4.2 dBi. The 1×2 and 1×4 lin...Show More
Design and radiation performance of a compact modified star shaped microstrip patch antenna is presented in this paper. The proposed antenna is printed on both sides of a single substrate. On one side of substrate, first a square patch is printed and then one star shaped slot and six circular slots are etched. On the other side of the substrate, a rectangular microstrip line is printed to feed the...Show More
This paper demonstrates the design and performance analysis of the star shaped microstrip patch antenna. The proposed antenna design employs substrate of FR4 material having thickness and dielectric constant of 1.6 mm and 4.4 respectively. The proposed antenna design consists of a FR4 substrate, star shaped radiating copper patch and slotted ground forming star shaped microstrip patch antenna conf...Show More
Multiple slot triangular shaped penta band microstrip antenna with micro strip feed line is proposed with an additional surface parameters of 28.4×25×1.67 millimeters. FR4 is chosen as the dielectric for antenna is which has 4.4 as relative permittivity. The penta-band frequency response is obtained with the help of making triangular slots over the patch. It covers five frequency bands. Based on r...Show More
A novel design of ultra-wideband star shaped printed monopole antenna is proposed. A star shaped structure is realized by combining triangular shaped planar monopole patch with its inverted configuration. A detailed parametric study of the offset placement of two triangular shaped patches with respect to the patch centroids, variation in distance between the base of composite structure and the gro...Show More

On the boundary controllability of the Korteweg–de Vries equation on a star-shaped network

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IMA Journal of Mathematical Control and Information
Year: 2020 | Volume: 37, Issue: 1 | Journal Article |
Cited by: Papers (1)
A system of $N$ Korteweg–de Vries equations coupled by the boundary conditions is considered in this paper. The configuration studied here is the one called star-shaped network, where the boundary inputs can act on a central node and on the $N$ external nodes. In the literature, there is a recent result proving the exact controllability of this system by using $(N+1)$ controls. We succeed to remov...Show More

On the boundary controllability of the Korteweg–de Vries equation on a star-shaped network

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Year: 2020 | Volume: 37, Issue: 1 | Journal Article |
Optical coherence tomography (OCT) is widely used in high-resolution imaging of biological tissues, which can help diagnose coronary heart disease by segmenting the vessel lumen at the pixel-level. However, the lumen shape geometry is not well used in the state-of-the-art techniques for OCT image segmentation, especially the data-driven methods, leaving much room for performance improvement if som...Show More
Microstrip patch antennas are more popular because of its advantages compared to other types like size, weight, cost and conformability. This paper presents a novel star shaped patch design is proposed to improve the bandwidth and also introduces triband radiation for microstrip antenna for satellite applications. The designed antenna used for C, X and Ku-band applications resonating at 5.3 GHz, 1...Show More
Detail study of a Star Shape Microstrip Antenna with multiple shorting posts for wideband response with the explanation of resonant modes is presented in this paper. Modal study is performed by observing surface current distributions. Without shorting posts resonant modes excited on star shape microstrip antenna are TM01, TM20 and TM21. With the gradual addition of shorting posts, the impedance of...Show More
The investigation for well-organized picture De-blurring techniques are still valid challenge, because of their complexities in functional analysis and statistics. In this research, a series of salt-and-pepper (SAP) noise reduction method based on star shaped search pattern that can be applicable for monochrome images is presented. A great benefit of the proposed De-blurring is robotical detection...Show More

On discrete functional inequalities for some finite volume schemes

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IMA Journal of Numerical Analysis
Year: 2015 | Volume: 35, Issue: 3 | Journal Article |
We prove several discrete Gagliardo–Nirenberg–Sobolev and Poincaré–Sobolev inequalities for some approximations with arbitrary boundary values on finite volume meshes. The key point of our approach is to use the continuous embedding of the space BV(Ω) into LN/(N−1)(Ω) for a Lipschitz domain Ω ⊂ ℝN, with N≥2. Finally, we give several applications to discrete duality finite volume schemes which are ...Show More

On discrete functional inequalities for some finite volume schemes

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Year: 2015 | Volume: 35, Issue: 3 | Journal Article |

Slowly rotating homogeneous masses revisited

Monthly Notices of the Royal Astronomical Society
Year: 2015 | Volume: 455, Issue: 4 | Journal Article |
Hartle's model for slowly rotating stars has been extensively used to compute equilibrium configurations of slowly rotating stars to second order in perturbation theory in general relativity, given a barotropic equation of state. A recent study based on the modern theory of perturbed matchings concludes that the functions in the (first and second order) perturbation tensors can always be taken as ...Show More

Slowly rotating homogeneous masses revisited

Year: 2015 | Volume: 455, Issue: 4 | Journal Article |

Time-domain Dirichlet-to-Neumann map and its discretization

IMA Journal of Numerical Analysis
Year: 2014 | Volume: 34, Issue: 3 | Journal Article |
In this work we consider the wave equation in homogeneous, unbounded domains and its numerical solution. In particular, we are interested in the effect that the shape of a bounded obstacle has on the quality of some numerical schemes for the computation of the exterior Dirichlet-to-Neumann map. We discretize the Dirichlet-to-Neumann map in time by convolution quadrature and investigate how the cor...Show More

Time-domain Dirichlet-to-Neumann map and its discretization

Year: 2014 | Volume: 34, Issue: 3 | Journal Article |
Ladyzhenskaya & Solonnikov (1976) introduced a representation theorem in ℝ3, which contained an integral inequality involving a multiplicative dimensionless constant. The existence of the constant was established but not its magnitude which depends only on the shape of the domain. In this paper, we derive an upper bound for the optimal constant when the underlying domain is star shaped.Show More

Generalized convolution quadrature with variable time stepping

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IMA Journal of Numerical Analysis
Year: 2013 | Volume: 33, Issue: 4 | Journal Article |
In this paper, we will present a generalized convolution quadrature for solving linear parabolic and hyperbolic evolution equations. The original convolution quadrature method by Lubich works very nicely for equidistant time steps while the generalization of the method and its analysis to nonuniform time stepping is by no means obvious. We will introduce the generalized convolution quadrature allo...Show More

Generalized convolution quadrature with variable time stepping

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Year: 2013 | Volume: 33, Issue: 4 | Journal Article |

Finite element methods for the Stokes system with interface pressure discontinuities

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IMA Journal of Numerical Analysis
Year: 2015 | Volume: 35, Issue: 1 | Journal Article |
Surface tension in multi phase fluid flow engenders pressure discontinuities on phase interfaces. In this work we present two finite element methods to solve viscous incompressible flows problems, especially designed to cope with such a situation. Taking as a model the two-dimensional Stokes system, we consider solution methods based on piecewise linear approximations of both the velocity and pres...Show More

Finite element methods for the Stokes system with interface pressure discontinuities

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Year: 2015 | Volume: 35, Issue: 1 | Journal Article |

Compact embeddings of broken Sobolev spaces and applications

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IMA Journal of Numerical Analysis
Year: 2009 | Volume: 29, Issue: 4 | Journal Article |
In this paper, we present several extensions of theoretical tools for the analysis of discontinuous Galerkin (DG) method beyond the linear case. We define broken Sobolev spaces for Sobolev indices in [1, ∞), and we prove generalizations of many techniques of classical analysis in Sobolev spaces. Our targeted application is the convergence analysis for DG discretizations of energy minimization prob...Show More

Compact embeddings of broken Sobolev spaces and applications

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Year: 2009 | Volume: 29, Issue: 4 | Journal Article |

Continuity Points Via Riesz Potentials for ℂ-Elliptic Operators

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Quarterly Journal of Mathematics
Year: 2020 | Volume: 71, Issue: 1 | Journal Article |
We establish a Riesz potential criterion for Lebesgue continuity points of functions of bounded $\mathbb{A}$-variation, where $\mathbb{A}$ is a $\mathbb{C}$-elliptic differential operator of arbitrary order. This result generalizes a potential criterion that is known for full gradients to the case where full gradient estimates are not available by virtue of Ornstein's non-inequality.Show More

Continuity Points Via Riesz Potentials for ℂ-Elliptic Operators

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Year: 2020 | Volume: 71, Issue: 1 | Journal Article |

Elliptic Selberg integrals

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International Mathematics Research Notices
Year: 2001 | Volume: 2001, Issue: 20 | Journal Article |
We introduce new Selberg-type multidimensional integrals built of Ruijsenaars' elliptic gamma functions. We show that the vanishing of our integrals for a specific parameter hypersurface implies closed evaluation formulas valid for the full parameter space. The resulting integration formulas contain the Macdonald-Morris constant term identities for nonreduced root systems as special limiting cases...Show More

Elliptic Selberg integrals

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Year: 2001 | Volume: 2001, Issue: 20 | Journal Article |

On a proposed model for heat conduction

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IMA Journal of Applied Mathematics
Year: 2006 | Volume: 71, Issue: 4 | Journal Article |
A system of partial differential equation for modelling the conduction of heat was proposed by Ghaleb & El-Deen Mohamedein (1989). According to their theory, the initial-value problem for the temperature is ill-posed. In this paper, two well-posed problems for the temperature are introduced and investigated.Show More

On a proposed model for heat conduction

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Year: 2006 | Volume: 71, Issue: 4 | Journal Article |
We present one possible mechanism for the giant flares of the soft gamma-ray repeaters (SGRs) within the framework of the magnetar (superstrongly magnetized neutron star) model, motivated by the positive period increase associated with the August 27 event from SGR 1900+14. From second-order perturbation analysis of the equilibrium of the magnetic polytrope, we find that there exist different equil...Show More
Partial differential equations (PDEs) with boundary conditions (Dirichlet or Neumann) defined on boundaries with simple geometry have been successfully treated using sigmoidal multilayer perceptrons in previous works. The article deals with the case of complex boundary geometry, where the boundary is determined by a number of points that belong to it and are closely located, so as to offer a reaso...Show More