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"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."

"​Isogeometric finite elements combine the numerical solution of partial differential equations and the description of the computational domain given by rational splines from computer aided geometric design. This work gives a well-founded introduction to this topic and then extends isogeometric finite elements by a local refinement technique, which is essential for an efficient adaptive simulation. There by a hierarchical approach is adapted to the numerical requirements and the relevant theoretical properties of the basis are ensured. The computational results suggest the increased efficiency and the potential of this local refinement method."

"ABSTRAKAnalisis Isogeometrik (IGA) merupakan pengembangan dari Metode Elemen Hingga (FEM). IGA lahir untuk menjembatani Computer Aided Engineering (CAE), yang berbasiskan FEM dengan shape function polinomial, dan Computer Aided Design (CAD), yang menggunakan basis function NURBS, dengan mengaplikasikan penggunaan NURBS pada CAE agar dapat memodelkan struktur secara eksak. Skripsi ini mempelajari performa metode collocation pada IGA untuk Balok Timoshenko dan Pelat Reissner-Mindlin dengan peralihan lentur sebagai variabel tunggal melalui uji konvergensi. Pengujian mencakup peralihan dan gaya dalam, dan dibandingkan dengan metode Galerkin. Hasil pengujian menunjukkan konvergensi yang baik pada semua kasus yang diujikan.

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ABSTRACTIsogeometric Analysis (IGA) is a development of Finite Element Method (FEM). IGA was initiated to bridge Computer Aided Engineering (CAE), FEM-based program with polinomial shape function, and Computer Aided Design (CAD), which uses NURBS as basis function, by applying NURBS in CAE, so structure can be modelized exactly. This report is studying collocation method performance in IGA for Timoshenko Beam and Reissner-Mindlin Plate with bending displacement as single variable through convergence test. The test is including displacement and internal forces study, and compared to Galerkin method. The results of this study have a good convergency in every tested cases."

"ABSTRAKTesis ini membahas pemodelan struktur cangkang dengan elemen MITC-24berdasarkan teori cangkang Naghdi. Karena bentuk struktur cangkang yangkompleks, maka akan sulit jika dianalisa dengan menggunakan solusi eksak. Salahsatu pendekatan untuk menyelesaikan permasalahan tersebut adalah denganmetode elemen hingga. Untuk mengetahui performa dari elemen ini, maka hasilyang diperoleh berupa nilai displacement dan gaya dalam, akan dibandingkandengan hasil dari Elemen DKMQ-24 dan juga nilai eksak pada Benchmark Test.

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ABSTRACTThis thesis discusses the modeling of shell structures using MITC-24 elementsand Naghdi shell theory. Since the shape of the shell structure is complex, it willbe difficult to analyze by using exact solution. Therefore, finite element method isone of the approaches to solve this problem. In order to know more about theperformance of these elements, the results that we obtain in displacement andinternal load value, will be compared with the result of DKMQ-24 elements andalso the exact value of the Benchmark Test."