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| Pengarang | : | Sulaiman Manguling |
| Nama Majalah/Jurnal | : | Bina Darma |
| Volume / Edisi | : | 13-51 (No. 51) |
| Halaman | : | 66-76 |
| Abstrak | : | - |
ASYMPTOTIC ANALYSIS FOR FIBER DRAWING PROCESSES
| Pengarang | : | Hanevy, Niall,Okiely, Doireann |
| Nama Majalah/Jurnal | : | Siam Journal On Applied Mathematics |
| Volume / Edisi | : | 83 (No. 2) |
| Halaman | : | 725-747 |
| Abstrak | : | In fiber drawing, axial tension is applied to long, thin viscous threads to increase their length and consequently reduce their cross-sectional area. This process is used to manufacture rods and threads of glass and polymer such as optical fibers and filaments for textiles. Drawing is described mathematically using the Trouton model for extensional flow in a long, narrow cylinder. This leading-order description gives simple expressions for fiber radius and one-dimensional axial velocity in the long, slender limit. In this paper we determine the next-order corrections, showing that they can be an order of magnitude larger than previously assumed. |
KISAH KEBUDAYAAN BATAK SIMALUNGUN, INJIL DAN PERUBAHAN SOSIAL DI SUMATERA UTARA
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Bina Darma |
| Volume / Edisi | : | 13-51 (No. 51) |
| Halaman | : | 53-65 |
| Abstrak | : | - |
RESOLUTION OF 2 DIMENSIONAL RECONSTRUCTION OF FUNCTIONS WITH NONSMOOTH EDGES FROM DISCRETE RADON TRANSFORM DATA
| Pengarang | : | Katsevich, Alexander |
| Nama Majalah/Jurnal | : | Siam Journal On Applied Mathematics |
| Volume / Edisi | : | 83 (No. 2) |
| Halaman | : | 695-724 |
| Abstrak | : | Let f\epsilon , 0<\epsilon \leq \epsilon 0, be a family of functions in \BbbR 2, and f\mathrm{r}\mathrm{e}\mathrm{c} \ e p s i l o n be a reconstruction of f\epsilon from its discrete Radon transform data. Here \epsilon is both the data sampling rate and the parameter of the family. We study the resolution of reconstruction when f\epsilon has a jump discontinuity along a nonsmooth curve \scrS \epsilon . The assumptions are that (a) \scrS \epsilon is a family of O(\epsilon )-size perturbations of a smooth curve \scrS , and (b) \scrS \epsilon is H\"older continuous with some exponent \gamma \in (0,1]. Thus the size of the perturbation \scrS \rightarrow \scrS \epsilon is of the same order of magnitude as the data sampling rate. We compute the discrete transition behavior (DTB) defined as the limit DTB(\v x):=lim\epsilon \rightarrow 0f\mathrm{r}\mathrm{e}\mathrm{c} \ e p s i l o n (x0+\epsilon \v x), where x0 is generic. We illustrate the DTB by two sets of numerical experiments. In the first set, the perturbation is a smooth, rapidly oscillating sinusoid, and in the second, a fractal curve. The experiments reveal that the match between the DTB and reconstruction is worse as \scrS \epsilon gets rougher. This is in agreement with the proof of the DTB, which suggests that the rate of convergence to the limit is O(\epsilon \gamma /2). We then propose a new DTB, which exhibits an excellent agreement with reconstructions. Investigation of this phenomenon requires computing the rate of convergence for the new DTB. This, in turn, requires completely new approaches. We obtain a partial result along these lines and formulate a conjecture that the rate of convergence of the new DTB is O(\epsilon 1/2ln(1/\epsilon )). |
APOKALIPTISISME ALKITABIAH DAN RELEVANSINYA BAGI GEREJA DALAM ZAMAN YANG BERGEJOLAK
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Bina Darma |
| Volume / Edisi | : | 13-51 (No. 51) |
| Halaman | : | 33-52 |
| Abstrak | : | - |
A NEWPERFECTLY MATCHED LAYER METHOD FOR THE HELMHOLTZ EQUATION IN NONCONVEX DOMAINS
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Siam Journal On Applied Mathematics |
| Volume / Edisi | : | 83 (No. 2) |
| Halaman | : | 666-694 |
| Abstrak | : | A new coupled perfectly matched layer (PML) method is proposed for the Helmholtz equation in the whole space with inhomogeneity concentrated on a nonconvex domain. Rigorous analysis is presented for the stability and convergence of the proposed coupled PML method, which shows that the PML solution converges to the solution of the original Helmholtz problem exponen tially with respect to the product of the wave number and the width of the layer. An iterative algorithm and a continuous interior penalty finite element method (CIP-FEM) are also proposed for solving the system of equations associated to the coupled PML. Numerical experiments are presented to illustrate the convergence and performance of the proposed coupled PML method, as well as the iterative algorithm and the CIP-FEM |
SUBWAVELENGTH RESONANCES IN ONE-DIMENSIONAL HIGH-CONTRAST ACOUSTIC MEDIA
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Siam Journal On Applied Mathematics |
| Volume / Edisi | : | 83 (No. 2) |
| Halaman | : | 625-665 |
| Abstrak | : | We propose a mathematical theory of acoustic wave scattering in one-dimensional f inite high-contrast media. The system considered is constituted of a finite alternance of high-contrast segments of arbitrary lengths and interdistances, called the ``resonators,"" and a background medium. We prove the existence of subwavelength resonances, which are the counterparts of the well-known Minnaert resonances in three-dimensional systems. One of the main contribution of the paper is to show that the resonant frequencies as well as the transmission and reflection properties of the system can be accurately predicted by a ``capacitance"" eigenvalue problem, analogously to the three dimensional setting. Moreover, we discover new properties which are peculiar to the one-dimensional setting, notably the tridiagonal structure of the capacitance matrix as well as the fact that the first resonant frequency is always exactly zero, implying a low-pass filtering property of a one-dimensional chain of resonators. Numerical results considering different situations with N =1 to N =6 resonators are provided to support our mathematical analysis and to illustrate the various possibilities offered by high-contrast resonators to manipulate waves at subwavelength scales. |
GEREJA DAN POLITIK: SUATU TINJAUAN HISTORIS-TEOLOGIS HUBUNGAN GEREJA DAN POLITIK DALAM SEJARAH KEKRISTENAN
| Pengarang | : | Novembri Choeldahono |
| Nama Majalah/Jurnal | : | Bina Darma |
| Volume / Edisi | : | 13-51 (No. 51) |
| Halaman | : | 15-32 |
| Abstrak | : | - |
MEREVISI HAKIKAT BERGEREJA DI INDONESIA
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Bina Darma |
| Volume / Edisi | : | 13-51 (No. 51) |
| Halaman | : | 7-14 |
| Abstrak | : | - |
AN AXISYMMETRIC PROBLEM FOR A PATCH LOADED MATERIAL SURFACE ATTACHED TO THE BOUNDARY OF AN ELASTIC SEMI-SPACE
| Pengarang | : | Zemilyanova, Anna Y.,White, Lauren M. |
| Nama Majalah/Jurnal | : | Siam Journal On Applied Mathematics |
| Volume / Edisi | : | 83 (No. 2) |
| Halaman | : | 603-624 |
| Abstrak | : | A problem for a nanosized penny-shaped material surface attached to the boundary of an elastic isotropic semi-space is considered. An axisymmetric normal traction is applied to a material surface. The surface is modeled using the Steigmann-Ogden form of surface energy. The problem is solved by using the Boussinesq potentials represented by the Hankel transforms of certain unknown functions. With the help of these functions, the problem can be reduced to a system of two singular integral equations. Two types of material surface tip boundary conditions are considered: free tip conditions and conditions with a compensated surface prestress term. The numerical solution of this system is obtained by expanding each unknown function into a series based on Chebyshev polynomials. Then the approximations of the unknown functions can be obtained from a system of linear algebraic equations. Accuracy of the numerical procedure is studied. Various numerical examples for different values of the surface energy parameters are considered. It is shown that both the surface parameters and the type of tip conditions have significant influence on the behavior of the material system. |