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Abstrak :
This book is a snapshot of current research in multiscale modeling, computations and applications. It covers fundamental mathematical theory, numerical algorithms as well as practical computational advice for analysing single and multiphysics models containing a variety of scales in time and space. Complex fluids, porous media flow and oscillatory dynamical systems are treated in some extra depth, as well as tools like analytical and numerical homogenization, and fast multipole method.

Abstrak :
This book focuses on the mechanobiological principles in tissue engineering with a particular emphasis on the multiscale aspects of the translation of mechanical forces from bioreactors down to the cellular level. The book contributes to a better understanding of the design and use of bioreactors for tissue engineering and the use of mechanical loading to optimize in vitro cell culture conditions. It covers experimental and computational approaches and the combination of both to show the benefits that computational modelling can bring to experimentalists when studying in vitro cell culture within a scaffold. With topics from multidisciplinary fields of the life sciences, medicine, and engineering, this work provides a novel approach to the use of engineering tools for the optimization of biological processes and its application to regenerative medicine. The volume is a valuable resource for researchers and graduate students studying mechanobiology and tissue engineering. For undergraduate students it also provides deep insight into tissue engineering and its use in the design of bioreactors. The book is supplemented with extensive references for all chapters to help the reader to progress through the study of each topic.

Abstrak :
The symposium focused on numerical analysis of multiscale problems and this book contains 10 invited articles from some of the meeting's key speakers, covering a range of topics of contemporary interest in this area. Articles cover the analysis of forward and inverse PDE problems in heterogeneous media, high-frequency wave propagation, atomistic-continuum modeling and high-dimensional problems arising in modeling uncertainty. Novel upscaling and preconditioning techniques, as well as applications to turbulent multi-phase flow, and to problems of current interest in materials science are all addressed. This book presents the current state-of-the-art in the numerical analysis of multiscale problems.

Abstrak :
This book gathers contributions addressing issues related to the analysis of composite structures, whose most relevant common thread is augmented numerical efficiency, which is more accurate for given computational costs than existing methods and methodologies. It first presents structural theories to deal with the anisotropy of composites and to embed multifield and nonlinear effects to extend design capabilities and provide methods of augmenting the fidelity of structural theories and lowering computational costs, including the finite element method. The second part of the book focuses on damage analysis; the multiscale and multicomponent nature of composites leads to extremely complex failure mechanisms, and predictive tools require physics-based models to reduce the need for fitting and tuning based on costly and lengthy experiments, and to lower computational costs; furthermore the correct monitoring of in-service damage is decisive in the context of damage tolerance. The third part then presents recent advances in embedding characterization and manufacturing effects in virtual testing. The book summarizes the outcomes of the FULLCOMP (FULLy integrated analysis, design, manufacturing, and health-monitoring of COMPosite structures) research project.

Abstrak :
Bringing together mathematical modelling, materials mechanics, numerical methods and experimental engineering, this book provides a unique overview of multi-scale modelling approaches, multi-scale simulations and experimental investigations of short fibre reinforced thermoplastics. The first chapters focus on two principal subjects: the mathematical and mechanical models governing composite properties and damage description. The subsequent chapters present numerical algorithms based on the Finite Element Method and the Boundary Element Method, both of which make explicit use of the composites microstructure. Further, the results of the numerical simulations are shown and compared to experimental results. Lastly, the book investigates deformation and failure of composite materials experimentally, explaining the applied methods and presenting the results for different volume fractions of fibres.

Abstrak :
ABSTRAK Data gravitasi yang diperoleh pada bagian selatan Yogyakarta, tepatnya daerah bantul kearah utara, telah digunakan untuk mengidentifikasi keberadaan serta kedalaman Sesar Kali Opak. Dengan mengaplikasikan metode Multi Scale Second Vertical Derivative(MS-SVD), lokasi patahan dan kemiringan (dip) dapat diidentifikasi. Data anomali gravitasi dalam bentuk Complete Bouguer Anomaly (CBA) dilakukan kontinuasi ke atas (upward continuation) beberapa kali, sehingga didapatkan bidang anomali gravitasi pada beberapa level kontinuasi. SVD dilakukan pada setiap bidang hasil kontinuasi sehingga didapatkan lokasi yang teridentifikasi sebagai patahan, yaitu saat nilai SVD nol. UC yang berkorelasi dengan kedalaman diplot dengan lokasi SVD nol, sehingga didapatkan bentuk, besar kemiringan, lokasi dan kedalaman dari setiap patahan. Sesar Kali Opak pada bagian Utara bergeser ke arah Timur dari peta geologi, dan berkorelasi dengan nilai peta anomali CBA data gravitasi. Sesar Kali Opak sebelah Utara memiliki arah strike N600E dan besar dip 74.50 arah Barat Laut, sedangkan sebelah Selatan memiliki arah strike N670E dan besar dip 650 arah Barat Laut dengan jenis patahan normal. Estimasi bentuk dan kedalaman horizon lokasi penelitian telah diidentifikasi dengan mengaplikasikan metode Energy Spectral Analysis-Multi Window Test (ESA-MWT). Bentuk dan lokasi horizon digunakan untuk mengonfirmasi keberadaan struktur patahan di bawah permukaan daerah penelitian. Dengan mengaplikasikan analisa energi spektrum yang telah di-grid menjadi transformasi Fourier 2D (Fast Fourier Transform) dari data gravitasi. Analisa energi spektrum dilakukan pada suatu titik uji, dengan melakukan per-window-an pada peta CBA secara konstan dengan ukuran window persegi yang bertambah lebar 2 km dari window sebelumnya. Jarak antara titik uji berkisar sekitar 3-5 km pada masing-masing lintasan yang memiliki zona interest. Hasil plot masing-masing window terhadap kedalaman memperlihatkan kedalaman masing-masing horizon. Dengan menggabungkan setiap titik uji, dan melakukan plot terhadap kedalaman, maka didapatkan bentuk dan kedalaman masing-masing horizon. Terdapat dua horizon pada daerah penelitian. Horizon pertama berada pada kedalaman berkisar 2-4 km, dan horizon kedua berada pada kedalaman berkisar 6-8 km. Bentuk dari horizon pertama di sekitar Sesar Kali Opak memberikan bentuk yang sesuai dengan hasil MS-SVD , sehingga mengonfirmasi adanya patahan di lokasi tersebut

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ABSTRACT
Gravitation data which obtained from southern part of Yogyakarta, precisely in Bantul towards the northern, are already used to identify the existence and the depth of Kali Opak Fault or Opak River Fault. By applying Multi Scale Second Vertical Derivative (MS-SVD) method, the location fault and dip can be identified. The gravity anomaly data in the form of Complete Bouguer Anomaly (CBA) is carried out upward continuation several times, so that the gravity anomaly data is obtained at several levels of continuation. SVD is performed on each field resulting from the continuation so that the location identified as a fault is obtained, i.e. when the SVD value is zero. UC which correlates with depth is plotted with a zero SVD location, so that the shape, the dip size, location, and depth of each fault are obtained. The northern part of Opak River Fault shifts eastward from geological map, and correlates with the CBA anomaly map of gravity data. The northern part of Opak River Fault has a N600E strike direction and a large 74.50 dip in the northwest direction meanwhile, the southern part has a N670E strike direction and a large 650 northwest dip with normal fault type. The estimation of shape and depth of the research location horizon has been identified by applying Energy Spectral Analysis-Multi Window Test (ESA-MWT) method. The shape and horizon location is used to confirm the existence of a fault structure beneath the surface of the study area. By applying grid-spectrum energy analysis to transform into Fourier 2D from gravity data. Energy spectrum analysis is carried out at a test point, by constantly windowing the CBA map with a square window size that increases in width 2 km from the previous window. The distance between the test points ranges from 3-5 km to each track that has an interest zone. The results of the plots of each window towards the depth show the depth of each horizon. By combining each test point, and plotting the depth, the shape and depth of each horizon are obtained. There are two horizons in the study area. The first horizon is at depths ranging from 2-4 km, and the second horizon is at depths ranging from 6-8 km. The shape of the first horizon around the Opak River Fault gives a shape that matches the MS-SVD results, thus confirming the appearance of fault at that location.

Abstrak :
This book is a collection of lecture notes for the CIME course on "Multiscale and Adaptivity: Modeling, Numerics and Applications," held in Cetraro (Italy), in July 2009. Complex systems arise in several physical, chemical, and biological processes, in which length and time scales may span several orders of magnitude. Traditionally, scientists have focused on methods that are particularly applicable in only one regime, and knowledge of the system on one scale has been transferred to another scale only indirectly. Even with modern computer power, the complexity of such systems precludes their being treated directly with traditional tools, and new mathematical and computational instruments have had to be developed to tackle such problems. The outstanding and internationally renowned lecturers, coming from different areas of Applied Mathematics, have themselves contributed in an essential way to the development of the theory and techniques that constituted the subjects of the courses.

Abstrak :
This monograph provides a concise overview of the main theoretical and numerical tools to solve homogenization problems in solids with finite elements. Starting from simple cases (linear thermal case) the problems are progressively complexified to finish with nonlinear problems. The book is not an overview of current research in that field, but a course book, and summarizes established knowledge in this area such that students or researchers who would like to start working on this subject will acquire the basics without any preliminary knowledge about homogenization. More specifically, the book is written with the objective of practical implementation of the methodologies in simple programs such as Matlab. The presentation is kept at a level where no deep mathematics are required.​