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"Numerical grid generation plays a critical role in any scientific computing problem when the geometry of the underlying region is complex or when the solution has a complex structure. The mathematical aspects of grid generation are discussed to provide a deeper understanding of the algorithms and their imitations. Variational methods are emphasized because they are more robust, but elliptic and transcendental algebraic methods are also considered."

"Penggunaan container pada arsitektur microservice merupakan sebuah pendekatan yang dapat digunakan untuk mempermudah proses delivery sistem. Container dalam sistem pun lebih mudah diatur dengan Kubernetes sehingga sistem dapat berjalan secara seamless. Hal tersebut memungkinkan deployment sistem yang cepat dan portable. Salah satu strategi deployment yang dapat digunakan untuk men-deploy sistem yang menggunakan container pada arsitektur microservice adalah canary deployment, dimana sebagian traffic diarahkan ke sekelompok kecil pengguna terlebih dahulu untuk menguji aplikasi di production. Pada dasarnya, canary deployment dapat dilakukan secara native dengan Kubernetes, namun cara ini masih memiliki masalah, yaitu traffic distribution dan replica deployment yang tidak independen. Salah satu solusi yang dapat dilakukan untuk memecahkan masalah tersebut adalah dengan menggunakan service mesh. Hal ini dikarenakan service mesh memiliki fitur traffic management yang dapat melakukan intelligent routing untuk melakukan canary deployment. Isu independensi ini memengaruhi proses deployment dan kebutuhan bisnis, dimana dengan menggunakan service mesh, jumlah replika pods yang digunakan untuk men-deploy aplikasi tidak berubah bagaimanapun aturan traffic routing-nya. Hal ini berbeda dengan sistem yang tidak menggunakan service mesh, dimana jumlah replika pods-nya berubah-ubah menyesuaikan aturan traffic routing yang telah ditentukan. Tanpa service mesh, rasio replika pods perlu diatur secara manual dengan konfigurasi yang redundan. Di sisi lain, konfigurasi sistem dengan service mesh mudah diatur dengan memanfaatkan fitur-fitur yang disediakan oleh service mesh itu sendiri, khususnya fitur traffic management. Selain itu, penggunaan service mesh dalam proses canary deployment pada aplikasi berbasis Kubernetes juga dapat membuat proses deployment menjadi lebih efisien dalam jumlah resource (pods).

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The use of containers in the microservice architecture is an approach that can be used to simplify the system delivery process. Containers in the system are also easier to manage with Kubernetes so that the system can run seamlessly. This allows for fast and portable system deployment. One deployment strategy that can be used to deploy systems that use containers on a microservices architecture is canary deployment, where some traffic is directed to a small group of users first to test the application in production. Basically, canary deployment can be done with Kubernetes natively, but this method still has problems, namely traffic distribution and replica deployment which are not independent. One solution that can be done to solve this problem is to use a service mesh. This is because the service mesh has a traffic management feature that can perform intelligent routing to perform canary deployments. This independence issue affects the deployment process and business needs, where by using a service mesh, the number of replica pods used to deploy applications does not change regardless of the traffic routing rules. This is different from a system that does not use a service mesh, where the number of replica pods varies according to predetermined traffic routing rules. Without a service mesh, the ratio of pod replicas needs to be set manually with redundant configurations. On the other hand, system configuration with service mesh is easy to manage by utilizing the features provided by the service mesh itself, especially the traffic management feature. In addition, the use of service mesh in the canary deployment process for Kubernetes-based applications can also make the deployment process more efficient in terms of the number of resources (pods)."

"This volume contains the articles presented at the 20th International Meshing Roundtable (IMR) organized, in part, by Sandia National Laboratories and was held in Paris, France on Oct 23-26, 2011. This is the first year the IMR was held outside the United States territory. Other sponsors of the 20th IMR are Systematic Paris Region Systems & ICT Cluster, AIAA, NAFEMS, CEA, and NSF. The Sandia National Laboratories started the first IMR in 1992, and the conference has been held annually since. Each year the IMR brings together researchers, developers, and application experts, from a variety of disciplines, to present and discuss ideas on mesh generation and related topics. The topics covered by the IMR have applications in numerical analysis, computational geometry, computer graphics, as well as other areas, and the presentations describe novel work ranging from theory to application. "

"This monograph examines in detail certain concepts that are useful for the modeling of curves and surfaces and emphasizes the mathematical theory that underlies these ideas. The two principal themes of the text are the use of piecewise polynomial representation (this theme appears in one form or another in every chapter), and iterative refinement, also called subdivision. Here, simple iterative geometric algorithms produce, in the limit, curves with complex analytic structure. In the first three chapters, the de Casteljau subdivision for Bernstein-Bezier curves is used to introduce matrix subdivision, and the Lane-Riesenfield algorithm for computing cardinal splines is tied into stationary subdivision. This ultimately leads to the construction of prewavelets of compact support. The remainder of the book deals with concepts of "visual smoothness" of curves, along with the intriguing idea of generating smooth multivariate piecewise polynomials as volumes of "slices" of polyhedra. The final chapter contains an evaluation of polynomials by finite recursive algorithms. Each chapter contains introductory material as well as more advanced results."

"Recently, smart grid technology development is very fast and renewable energy has an important role in this rapid growth and can provide reliable energy. There is a method called DSM that can make the smart grid even better. DSM can make people reduce electricity bills by adjusting the time when they want to use electricity. DSM has a new approach called electric spring (ES) that can provide voltage and power stability in real-time which are the DSM problems. Electric springs can allow non-critical load demand to follow the power generation and reduce energy storage requirements in the grid. Electric spring is an electric device that can be used to provide electric voltage support, store electric energy and damp electric oscillations. This thesis primarily focuses on analyzing and implementing an electric spring in a smart grid that is connected to solar photovoltaic. This thesis also focuses on stabilizing the fluctuations when the photovoltaic is connected. Then also analyze the electric voltage support function of the electric spring that provides voltage reduction and boosting function. Electric spring has 3 main operating conditions there are neutral, compressed and expanded. Electric spring is design to maintain the line voltage of the system so that became equal to the reference voltage whose value has been determined. The electric spring circuit is consisted of a single-phase full-bridge inverter and a RLC filter and is supplied by a DC source. In the ES circuit, the load is categorized into two parts, there are non-critical load (load that can withstand voltage fluctuations) and critical load (very sensitive to voltage fluctuations). This bachelor thesis will analyze the voltage fluctuation after the photovoltaic is connected to the circuit and also proving one of the functions of the electric spring, which is to become voltage support. In the end, the simulation result is divided into 2 scenarios. There are voltage boosting and reduction functions to show that an electric spring can become voltage support. Electric spring potential ix Universitas Indonesia still needs to explore, with great development and right implementation electric spring can be used for countries that have a lot of electricity demand and electric spring can become a big advantage in the electricity sector.

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Saat ini perkembangan teknologi jaringan pintar (Smart Grid) sangat pesat dan energi terbarukan memiliki peran penting dalam pertumbuhan yang pesat ini dan dapat menyediakan energi yang andal. Ada metode yang disebut DSM yang dapat membuat jaringan pintar menjadi lebih baik. DSM dapat membuat masyarakat mengurangi tagihan listrik dengan mengatur waktu saat ingin menggunakan listrik. DSM memiliki pendekatan baru yang disebut pegas listrik, yang dapat memberikan stabilitas tegangan dan daya secara real-time yang merupakan masalah dari DSM. Pegas listrik dapat memungkinkan permintaan beban non-kritis untuk mengikuti pembangkit listrik dan mengurangi kebutuhan penyimpanan energi di jaringan. Pegas listrik adalah suatu alat listrik yang dapat digunakan untuk memberikan penopang tegangan listrik, menyimpan energi listrik dan meredam getaran listrik. Tesis ini berfokus untuk menganalisis dan mengimplementasikan pegas listrik pada jaringan pintar yang terhubung ke panel surya. Tesis ini juga berfokus pada menstabilkan fluktuasi ketika panel surya terhubung. Kemudian juga menganalisis fungsi pendukung pegas listrik yang bisa menjadi pengurang tegangan dan penambah tegangan. Pegas listrik memiliki 3 kondisi operasi utama yaitu netral, terkompres dan memanjang. Pegas listrik dirancang untuk menjaga tegangan saluran sistem agar menjadi sama dengan tegangan referensi yang nilainya telah ditentukan. Sirkuit pegas listrik terdiri dari inverter dengan desain single-phase full-bridge dan filter RLC dan disuplai oleh sumber DC. Pada rangkaian pegas listrik, beban dikategorikan menjadi dua bagian, yaitu beban non kritis (beban yang dapat menahan fluktuasi tegangan) dan beban kritis (sangat peka terhadap fluktuasi tegangan). xi Universitas Indonesia Skripsi ini akan menganalisis fluktuasi tegangan setelah panel surya dihubungkan ke rangkaian dan juga membuktikan salah satu fungsi pegas listrik, yaitu menjadi penopang tegangan. Pada akhirnya, hasil simulasi dibagi menjadi 2 skenario. Terdapat fungsi penambah dan pengurang tegangan untuk menunjukkan bahwa pegas listrik dapat menjadi penopang tegangan. Potensi pegas listrik masih perlu dieksplorasi, dengan pengembangan yang besar dan implementasi yang tepat pegas listrik dapat digunakan untuk negara-negara yang memiliki banyak permintaan listrik dan pegas listrik dapat menjadi keuntungan besar di sektor ketenagalistrikan."

"Multilevel adaptive methods play an increasingly important role in the solution of many scientific and engineering problems. Fast adaptive methods techniques are widely used by specialists to execute and analyze simulation and optimization problems. This monograph presents a unified approach to adaptive methods, addressing their mathematical theory, efficient algorithms, and flexible data structures."