Advances in Discretization Methods

Advances in Discretization Methods
Author: Giulio Ventura
Publisher: Springer
Total Pages: 272
Release: 2016-08-24
Genre: Technology & Engineering
ISBN: 3319412469

This book gathers selected contributions on emerging research work presented at the International Conference eXtended Discretization MethodS (X-DMS), held in Ferrara in September 2015. It highlights the most relevant advances made at the international level in the context of expanding classical discretization methods, like finite elements, to the numerical analysis of a variety of physical problems. The improvements are intended to achieve higher computational efficiency and to account for special features of the solution directly in the approximation space and/or in the discretization procedure. The methods described include, among others, partition of unity methods (meshfree, XFEM, GFEM), virtual element methods, fictitious domain methods, and special techniques for static and evolving interfaces. The uniting feature of all contributions is the direct link between computational methodologies and their application to different engineering areas.

Recent Advances in Radial Basis Function Collocation Methods

Recent Advances in Radial Basis Function Collocation Methods
Author: Wen Chen
Publisher: Springer Science & Business Media
Total Pages: 98
Release: 2013-11-09
Genre: Technology & Engineering
ISBN: 3642395724

This book surveys the latest advances in radial basis function (RBF) meshless collocation methods which emphasis on recent novel kernel RBFs and new numerical schemes for solving partial differential equations. The RBF collocation methods are inherently free of integration and mesh, and avoid tedious mesh generation involved in standard finite element and boundary element methods. This book focuses primarily on the numerical algorithms, engineering applications, and highlights a large class of novel boundary-type RBF meshless collocation methods. These methods have shown a clear edge over the traditional numerical techniques especially for problems involving infinite domain, moving boundary, thin-walled structures, and inverse problems. Due to the rapid development in RBF meshless collocation methods, there is a need to summarize all these new materials so that they are available to scientists, engineers, and graduate students who are interest to apply these newly developed methods for solving real world’s problems. This book is intended to meet this need. Prof. Wen Chen and Dr. Zhuo-Jia Fu work at Hohai University. Prof. C.S. Chen works at the University of Southern Mississippi.

Adaptive High-order Methods in Computational Fluid Dynamics

Adaptive High-order Methods in Computational Fluid Dynamics
Author: Z. J. Wang
Publisher: World Scientific
Total Pages: 471
Release: 2011
Genre: Science
ISBN: 9814313181

This book consists of important contributions by world-renowned experts on adaptive high-order methods in computational fluid dynamics (CFD). It covers several widely used, and still intensively researched methods, including the discontinuous Galerkin, residual distribution, finite volume, differential quadrature, spectral volume, spectral difference, PNPM, and correction procedure via reconstruction methods. The main focus is applications in aerospace engineering, but the book should also be useful in many other engineering disciplines including mechanical, chemical and electrical engineering. Since many of these methods are still evolving, the book will be an excellent reference for researchers and graduate students to gain an understanding of the state of the art and remaining challenges in high-order CFD methods.

Advanced Computational Methods in Science and Engineering

Advanced Computational Methods in Science and Engineering
Author: Barry Koren
Publisher: Springer Science & Business Media
Total Pages: 501
Release: 2010-04-29
Genre: Mathematics
ISBN: 3642033873

The aim of the present book is to show, in a broad and yet deep way, the state of the art in computational science and engineering. Examples of topics addressed are: fast and accurate numerical algorithms, model-order reduction, grid computing, immersed-boundary methods, and specific computational methods for simulating a wide variety of challenging problems, problems such as: fluid-structure interaction, turbulent flames, bone-fracture healing, micro-electro-mechanical systems, failure of composite materials, storm surges, particulate flows, and so on. The main benefit offered to readers of the book is a well-balanced, up-to-date overview over the field of computational science and engineering, through in-depth articles by specialists from the separate disciplines.

Advances in Applied Mechanics

Advances in Applied Mechanics
Author: Stéphane P.A. Bordas
Publisher: Academic Press
Total Pages: 330
Release: 2021-11-23
Genre: Science
ISBN: 0323885209

Advances in Applied Mechanics, Volume 54 in this ongoing series, highlights new advances in the field, with this new volume presenting interesting chapters on Advanced geometry representations and tools for microstructural and multiscale modelling, Material Point Method: overview and challenges ahead, From Experimental Modeling of Shotcrete to Numerical Simulations of Tunneling, Mechanics of Hydrogel-Based Bioprinting: From 3D to 4D, and more. - Provides the authority and expertise of leading contributors from an international board of authors - Presents the latest release in the Advances in Applied Mechanics series

Advances in Fractional Calculus

Advances in Fractional Calculus
Author: J. Sabatier
Publisher: Springer Science & Business Media
Total Pages: 550
Release: 2007-07-28
Genre: Technology & Engineering
ISBN: 1402060424

In the last two decades, fractional (or non integer) differentiation has played a very important role in various fields such as mechanics, electricity, chemistry, biology, economics, control theory and signal and image processing. For example, in the last three fields, some important considerations such as modelling, curve fitting, filtering, pattern recognition, edge detection, identification, stability, controllability, observability and robustness are now linked to long-range dependence phenomena. Similar progress has been made in other fields listed here. The scope of the book is thus to present the state of the art in the study of fractional systems and the application of fractional differentiation. As this volume covers recent applications of fractional calculus, it will be of interest to engineers, scientists, and applied mathematicians.

Advances and Current Trends in Biomechanics

Advances and Current Trends in Biomechanics
Author: Jorge Belinha
Publisher: CRC Press
Total Pages: 614
Release: 2021-09-29
Genre: Medical
ISBN: 1000483150

This volume presents a collection of peer-reviewed papers on several areas in the field of biomechanics, including biofabrication; biomaterials; cardiovascular biomechanics, biofluids and hemodynamics; biomechanics of the injury/impact; biomechanics of rehabilitation; sports biomechanics; biomechanics of the skull and spine; biomechanics of the musculoskeletal system; biomechanics orofacial; orthopaedic biomechanics; experimental and numerical biomechanics; tissue engineering, and biomedical devices. A collection of novelties and research outcomes presented at the 9th National Biomechanics Congress (CNB 2021, 19-20 February, Porto, Portugal), this book reflects the enthusiasm and intense activity of the Portuguese biomechanical community, as well as the multidisciplinary character of the field. The National Congress of Biomechanics (CNB) is a scientific meeting organized in Portugal under the auspices of the Portuguese Biomechanical Society (SPB).

Advances in Research Methods for Information Systems Research

Advances in Research Methods for Information Systems Research
Author: Kweku-Muata Osei-Bryson
Publisher: Springer Science & Business Media
Total Pages: 229
Release: 2013-11-25
Genre: Business & Economics
ISBN: 146149463X

Advances in social science research methodologies and data analytic methods are changing the way research in information systems is conducted. New developments in statistical software technologies for data mining (DM) such as regression splines or decision tree induction can be used to assist researchers in systematic post-positivist theory testing and development. Established management science techniques like data envelopment analysis (DEA), and value focused thinking (VFT) can be used in combination with traditional statistical analysis and data mining techniques to more effectively explore behavioral questions in information systems research. As adoption and use of these research methods expand, there is growing need for a resource book to assist doctoral students and advanced researchers in understanding their potential to contribute to a broad range of research problems. Advances in Research Methods for Information Systems Research: Data Mining, Data Envelopment Analysis, Value Focused Thinking focuses on bridging and unifying these three different methodologies in order to bring them together in a unified volume for the information systems community. This book serves as a resource that provides overviews on each method, as well as applications on how they can be employed to address IS research problems. Its goal is to help researchers in their continuous efforts to set the pace for having an appropriate interplay between behavioral research and design science.

Advances in Time-Domain Computational Electromagnetic Methods

Advances in Time-Domain Computational Electromagnetic Methods
Author: Qiang Ren
Publisher: John Wiley & Sons
Total Pages: 724
Release: 2022-11-15
Genre: Science
ISBN: 1119808391

Advances in Time-Domain Computational Electromagnetic Methods Discover state-of-the-art time domain electromagnetic modeling and simulation algorithms Advances in Time-Domain Computational Electromagnetic Methods delivers a thorough exploration of recent developments in time domain computational methods for solving complex electromagnetic problems. The book discusses the main time domain computational electromagnetics techniques, including finite-difference time domain (FDTD), finite-element time domain (FETD), discontinuous Galerkin time domain (DGTD), time domain integral equation (TDIE), and other methods in electromagnetic, multiphysics modeling and simulation, and antenna designs. The book bridges the gap between academic research and real engineering applications by comprehensively surveying the full picture of current state-of-the-art time domain electromagnetic simulation techniques. Among other topics, it offers readers discussions of automatic load balancing schemes for DG-FETD/SETD methods and convolution quadrature time domain integral equation methods for electromagnetic scattering. Advances in Time-Domain Computational Electromagnetic Methods also includes: Introductions to cylindrical, spherical, and symplectic FDTD, as well as FDTD for metasurfaces with GSTC and FDTD for nonlinear metasurfaces Explorations of FETD for dispersive and nonlinear media and SETD-DDM for periodic/ quasi-periodic arrays Discussions of TDIE, including explicit marching-on-in-time solvers for second-kind time domain integral equations, TD-SIE DDM, and convolution quadrature time domain integral equation methods for electromagnetic scattering Treatments of deep learning, including time domain electromagnetic forward and inverse modeling using a differentiable programming platform Ideal for undergraduate and graduate students studying the design and development of various kinds of communication systems, as well as professionals working in these fields, Advances in Time-Domain Computational Electromagnetic Methods is also an invaluable resource for those taking advanced graduate courses in computational electromagnetic methods and simulation techniques.

Lecture Notes on the Discretization of the Boltzmann Equation

Lecture Notes on the Discretization of the Boltzmann Equation
Author: N. Bellomo
Publisher: World Scientific
Total Pages: 317
Release: 2003
Genre: Science
ISBN: 9812382259

This book presents contributions on the following topics: discretization methods in the velocity and space, analysis of the conservation properties, asymptotic convergence to the continuous equation when the number of velocities tends to infinity, and application of discrete models. It consists of ten chapters. Each chapter is written by applied mathematicians who have been active in the field, and whose scientific contributions are well recognized by the scientific community.