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"This volume contains eight state of the art contributions on mathematical aspects and applications of fast boundary element methods in engineering and industry. This covers the analysis and numerics of boundary integral equations by using differential forms, preconditioning of hp boundary element methods, the application of fast boundary element methods for solving challenging problems in magnetostatics, the simulation of micro electro mechanical systems, and for contact problems in solid mechanics. Other contributions are on recent results on boundary element methods for the solution of transient problems. "

"ABSTRAKPengujian elektrokimia menjadi salah satu pengujian yang digemari dalam bidang korosi. Salah satu pengujian yang cukup terkenal saat ini adalah Electrochemical Impedance Spectroscopy dimana menggunakan sistem listrik untuk menganalisis suatu material dalam sistem tertentu. Penerapan metode numerik untuk EIS memungkinkan pengujian EIS dapat dilakukan secara pemodelan untuk kasus-kasus dimana sampel material susah untuk diambil ataupun dilakukan pengujian secara insituPelaksanaan pemodelan numerik pada penelitian ini dibantu dengan metode elemen batas. Respon EIS berupa arus akan di cari dengan mengaplikasikan potensial pada model 2D berbentuk persegi panjang, dengan mendiskritisasikan dengan elemen konstan menjadi 15 elemen. Laplace digunakan sebagai persamaan pembangun, akibat dari sistem yang homogen dan sifat elektronetrality sistem. Respon dari model selanjutnya di terjemahkan dalam bentuk impedansi dan dalam plot Nyquist. Impedansi hasil model numerik ini selanjutnya akan dibandingkan dengan hasil pengujian EISModel yang di dapatkan pada penelitian ini secara umum dapat digunakan untuk studi awal dalam memodelkan EIS. Bentuk grafik plot Nyquist terlihat perbedaan yang signifikan. Beberapa perlakuan tambahan harus dilakukan pada tahapan matematis dari model dan penggunaan metode lain pada sistem pengubah respon arus menjadi impedansi.

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ABSTRACTElectrochemical testing become one of popular testing in corrosion study. One of testing is Electrochemicial Impedance Spectroscopy where used electrical system to analyze material in certain system. Implementation of numerical method for EIS is hoped to enable EIS testing conducted only in computation model, escpecially for case where the material is hard to be taken or in situ testing impossible to be conducted.Numerical modeling in this research is helped by Boundary Element Method. Current as EIS respon is determined by applied potential input in 2D rectangular model, and disctritized by constant element to 15 parts. Laplace equation is used as governing equation as result homogenous and electroneutrality in model system. Model respons is translated to impedance as function of frequency then ploted in Nyquist plot diagram. The result of model impedance is compared to result of experimentally EIS testingIn general, the model could be used as basic study in EIS modeling. Though it has a significant difference between the experimental model, but the shape is follow the common semicircle of Nyquist plot. Some treatment can be conducted in mathematics step of numerical modeling and transferring response to impedance methods"

"Telah diamati pengaruh konfigurasi dimer AgNR yaitu side by side dan end to end terhadap sifat optis Localized surface plasmon resonance dengan menggunakan pendekatan boundary element method. Medium yang digunakan pada penelitian ini adalah air dengan indeks bias sebesar 1.334. Variasi aspek rasio nanorod 1 hingga 5 dilakukan untuk mengetahui pengaruhnya terhadap pergeseran puncak LSPR serta juga dilakukan variasi jarak pisah antar nanorod perak. Fungsi dielektrik perak menggunakan hasil percobaan Johnson Christy. Dengan memvariasikan arah medan listrik sejajar sumbu utama nanorod mode Longtudinal dan tegak lurus sumbu utama nanorod mode Transversal didapati bahwa pergeseran puncak LSPR selain bergantung pada jarak pisah antar coupling nanorod namun juga terhadap konfigurasi dimer AgNR yang masing-maing memiliki 2 mode yaitu Transversal dan Longitudinal yang muncul akibat asimetri bentuk nanorod. Pada konfigurasi end to end mode Transversal pergeseran puncak LSPR cendrung bergeser ke arah panjang gelombang yang lebih pendek Blue-shift seiring dengan pengurangan jarak pisah antar nanorod dan pada mode Longitudinal didapati pegeseran puncak LSPR mengalami Red-shift. Sedangkan pada konfigurasi side by side memperlihatkan fenomena pergeseran puncak LSPR yang berkebalikan dengan konfigurasi end to end untuk mode Transversal dan Longitudinal. Ketergantungan pergeseran puncak LSPR terhadap konfigurasi dimer AgNR ini bisa dijelaskan secara kualitatif melalui interakasi dipole-dipole antar nanorod yang berdekatan.

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It has been observed that the influence of AgNR dimer configurations which side by side and end to end on optical properties of Localized surface plasmon resonance by using boundary element method approach. The medium used in this reasearch was water with a refractive index of 1,334. Variations in nanorod aspect ratio 1 to 5 were performed to determine the effect on the LSPR peak shift as well as the variation of separations between silver nanorods. The silver dielectric function based on Johnson Christy 39 s experimental results. By varying the direction of the electric field parallel to the main axis of nanorod Longtudinal mode and perpendicular to the main axis Transverse mode , that two modes arising from the asymmetry of nanorod shape. it is found that the peak shift of LSPR is dependent on the spacing between the nanorod coupling but also the configuration of the AgNR dimer. For end to end assembly, Transversal mode shows that LSPR peak shift tends to shift towards the shorter wavelength Blue shift along with the reduction of the spacing between the nanorod and for Longitudinal mode LSPR peak shift has Red shifted. While for side by side configuration shows the phenomenon of LSPR peak shift in contrast to the configuration of end to end for Transverse and Longitudinal modes. The dependence of the LSPR peak shift to this AgNR dimer configuration can be explained qualitatively through dipole dipole coupling interaction between adjacent nanorods."

"ABSTRAKSuatu simulasi telah dilakukan mempelajari sifat optik dari nanopartikel emas bentuk batang (gold nanorod) menggunakan metode elemen batas (boundary element method-BEM), dalam kasus ini kita akan memperhitungkan tidak hanya pengetahuan bahwa peningkatan medan oleh plasmon nanopartikel dapat mempengaruhi respon optic tetapi juga plasmon sangat sensitive terhadap perubahan dielektrik dari lingkungan, dengan demikian sifatnya juga dipengaruhi oleh bentuk dan ukuran dari nanopartikel. Kami menemukan bahwa, Puncak-puncak spektrum ekstinsi, hamburan dan absorpsi terhadap panjang gelombang mengalami pergeseran ke arah panjang gelombang besar(red-shift) dengan bertambahnya ukuran diameter dari nanopartikel emas demikian juga dengan peningkatan indeks bias, sedangkan puncak-puncak spektrum ini mengalami pergeseran ke arah panjang gelombang kecil (blue-shift) dengan bertambahnya aspek rasio (AR) dari nanopartikel emas.

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ABSTRACTA simulation has been performed to study the optical properties of gold nanoparticles form of rods (gold nanorod) using the boundary element method (BEM boundary-element method), in this case we will take into account not only the knowledge that increasing the field by plasmon nanoparticles can affect the optical response but also the plasmon very sensitive to changes in the dielectric of the environment, thus its also influenced by the shape and size of nanoparticles. We found that, extinction spectrum peaks, scattering and absorption wavelength shifted toward large wavelengths (red-shift) with increasing the diameter of the gold nanoparticles as well as an increase in the refractive index, while the peaks of this spectrum shifted towards smaller wavelengths (blue-shift) with increasing aspect ratio (AR) of the gold nanoparticles."

"Dalam penelitian ini, kami telah menghitung sensitivitas LSPR Au nanorod oleh simulasi partikel logam umum, MNPBEM berdasarkan metode elemen batas dengan variasi diameter nanorod D adalah 20 nm, 60 nm dan 80 nm. rasio aspek 1,5 hingga 3,5. Dielektrik Au nanorod berdasarkan eksperimen Christine-Johnson. Untuk memahami kepekaan sensitivitas, kami juga memvariasikan media indeks bias dengan pendekatan Lorentz-Lorentz dari campuran konsentrasi air dan gliserol. Indeks media refraktif adalah n = 1,3334 100 air murni, n = 1,3605 80 air dan 20 gliserol, n = 1,3881 air 60 dan gliserol 40, n = 1,4164 40 air dan 60 gliserol, dan n = 1,4452 20 air dan 80 gliserol. Dari simulasi MNPBEM, kami telah menghasilkan spektrum LSPR seperti absorpsi, penyebaran, dan kepunahan sebagai fungsi dari panjang gelombang. Kemudian, sensitivitas LSPR Au nanorod ditentukan oleh gradien puncak panjang gelombang ke variasi medium indeks refraktif untuk semua aspek rasio. Menariknya, kami telah menemukan LSPR Au nanorod terdiri dari mode longitudinal dan transversal dalam kurva LS nanorod LSPR. Mode longitudinal memiliki panjang gelombang yang lebih tinggi daripada mode transversal dalam spektrum LSPR. Dalam mode longitudinal, puncak panjang gelombang meningkat ketika rasio aspek meningkat red-shift sementara dalam mode transversal, puncak panjang gelombang relatif konstan. Selanjutnya, sensitivitas dalam mode longitudinal meningkat ketika aspek rasio meningkat sedangkan sensitivitas dalam transversal menurun ketika aspek rasio meningkat. Meningkatkan sensitivitas dalam mode longitudinal terkait dengan red-shift ketika volume nanorod meningkat dan indeks bias medium berubah. Menurut hasil, penentuan sensitivitas berguna untuk memahami perubahan indeks bias media yang penting untuk merancang perangkat sensor.

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In this study, we have calculated the sensitivity of LSPR Au nanorod by a public metallic particle simulation, MNPBEM based on boundary element method with varying diameter of nanorod D are 20 nm, 60nm, and 80 nm. The aspect ratio from 1.5 to 3.5. The dielectric of Au nanorod based on Christine Johnson experiment. To understand sensitivity sense, we have also varied the refractive index medium by Lorentz Lorentz approximation from mixture of water and glycerol concentration. The refractive medium index is n 1.3334 100 water pure, n 1.3605 80 water and 20 glycerol , n 1.3881 60 water and 40 glycerol, n 1.4164 40 water and 60 glycerol, and n 1.4452 20 water and 80 glycerol. From MNPBEM simulation, we have produced LSPR spectra such as absorption, scattering, and extinction curve as the function of wavelength. Then, the sensitivity of LSPR Au nanorod is determined by the gradient of the peak of wavelength to the refractive index medium variation for all aspect ratio. Interestingly, we have found the LSPR Au nanorod consisted of longitudinal and transversal mode in LSPR Au nanorod curve. The longitudinal mode appeared higher wavelength than the transversal mode in LSPR spectra. In longitudinal mode, the peak of wavelength increased as the aspect ratio increased red shift while in transversal mode, the peak of wavelength relatively was constant. Furthermore, the sensitivity in longitudinal mode increased as the aspect ratio increased whereas the sensitivity in transversal decreased as the aspect ratio increased. Increasing the sensitivity in longitudinal mode related to red shift as the nanorod volume increased and the refractive medium index change. According to the results, the sensitivity determination is useful to understand the refractive index medium changes that it is important to design a sensor device."

"This self-contained book addresses the three most popular computational methods in CAE (finite elements, boundary elements, collocation methods) in a unified way, bridging the gap between CAD and CAE.It includes applications to a broad spectrum of engineering (benchmark) application problems, such as elasto-statics/dynamics and potential problems (thermal, acoustics, electrostatics). It also provides a large number of test cases, with full documentation of original sources, making it a valuable resource for any student or researcher in FEA-related areas."

"Finite element solution of boundary value problems: theory and computation provides a thorough, balanced introduction to both the theoretical and the computational aspects of the finite element method for solving boundary value problems for partial differential equations. Although significant advances have been made in the finite element method since this book first appeared in 1984, the basics have remained the same, and this classic, well-written text explains these basics and prepares the reader for more advanced study. Useful as both a reference and a textbook, complete with examples and exercises, it remains as relevant today as it was when originally published."