Finite Element Methods

Superconvergence, Post-Processing, and A Posterior Estimates

Author: Michel Krizek,Pekka Neittaanmaki,Rolf Stenberg

Publisher: CRC Press

ISBN: 9780824701482

Category: Mathematics

Page: 368

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"Based on the proceedings of the first conference on superconvergence held recently at the University of Jyvaskyla, Finland. Presents reviewed papers focusing on superconvergence phenomena in the finite element method. Surveys for the first time all known superconvergence techniques, including their proofs."

Advanced Finite Element Methods and Applications

Author: Thomas Apel,Olaf Steinbach

Publisher: Springer Science & Business Media

ISBN: 3642303161

Category: Technology & Engineering

Page: 376

View: 479

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This volume on some recent aspects of finite element methods and their applications is dedicated to Ulrich Langer and Arnd Meyer on the occasion of their 60th birthdays in 2012. Their work combines the numerical analysis of finite element algorithms, their efficient implementation on state of the art hardware architectures, and the collaboration with engineers and practitioners. In this spirit, this volume contains contributions of former students and collaborators indicating the broad range of their interests in the theory and application of finite element methods. Topics cover the analysis of domain decomposition and multilevel methods, including hp finite elements, hybrid discontinuous Galerkin methods, and the coupling of finite and boundary element methods; the efficient solution of eigenvalue problems related to partial differential equations with applications in electrical engineering and optics; and the solution of direct and inverse field problems in solid mechanics.

Nonlinear Finite Element Methods

Author: Peter Wriggers

Publisher: Springer Science & Business Media

ISBN: 3540710000

Category: Mathematics

Page: 560

View: 8998

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Finite element methods have become ever more important to engineers as tools for design and optimization, now even for solving non-linear technological problems. However, several aspects must be considered for finite-element simulations which are specific for non-linear problems: These problems require the knowledge and the understanding of theoretical foundations and their finite-element discretization as well as algorithms for solving the non-linear equations. This book provides the reader with the required knowledge covering the complete field of finite element analyses in solid mechanics. It is written for advanced students in engineering fields but serves also as an introduction into non-linear simulation for the practising engineer.

Finite Elements in Fracture Mechanics

Theory - Numerics - Applications

Author: Meinhard Kuna

Publisher: Springer Science & Business Media

ISBN: 9400766807

Category: Technology & Engineering

Page: 447

View: 9383

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Fracture mechanics has established itself as an important discipline of growing interest to those working to assess the safety, reliability and service life of engineering structures and materials. In order to calculate the loading situation at cracks and defects, nowadays numerical techniques like finite element method (FEM) have become indispensable tools for a broad range of applications. The present monograph provides an introduction to the essential concepts of fracture mechanics, its main goal being to procure the special techniques for FEM analysis of crack problems, which have to date only been mastered by experts. All kinds of static, dynamic and fatigue fracture problems are treated in two- and three-dimensional elastic and plastic structural components. The usage of the various solution techniques is demonstrated by means of sample problems selected from practical engineering case studies. The primary target group includes graduate students, researchers in academia and engineers in practice.

Finite Element Methods for Maxwell's Equations

Author: Peter Monk,Department of Mathematics Sciences Peter Monk, PH.

Publisher: Oxford University Press

ISBN: 9780198508885

Category: Mathematics

Page: 450

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The emphasis in on finite element methods for scattering problems that involve the solution of Maxwell's equations on infinite domains. Suitable variational formulations are developed and justified mathematically. An error analysis of edge finite element methods that are particularly well suited to Maxwell's equations is the main focus of the book.

Fourier BEM

Generalization of Boundary Element Methods by Fourier Transform

Author: Fabian M.E. Duddeck

Publisher: Springer Science & Business Media

ISBN: 9783540431381

Category: Computers

Page: 181

View: 2871

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Like FEM, the Boundary Element Method (BEM) provides a general numerical tool for the solution of complex engineering problems. In the last decades, the range of its applications has remarkably been enlarged. Therefore dynamic and nonlinear problems can be tackled. However they still demand an explicit expression of a fundamental solution, which is only known in simple cases. In this respect, the present book proposes an alternative BEM-formulation based on the Fourier transform, which can be applied to almost all cases relevant in engineering mechanics. The basic principle is presented for the heat equation. Applications are taken from solid mechanics (e.g. poroelasticity, thermoelasticity). Transient and stationary examples are given as well as linear and nonlinear. Completed with a mathematical and mechanical glossary, the book will serve as a comprehensive text book linking applied mathematics to real world engineering problems.

Bildverarbeitung für die Medizin 2008

Algorithmen - Systeme - Anwendungen

Author: Thomas Tolxdorff,Jürgen Braun,Thomas M. Deserno,Heinz Handels,Alexander Horsch,Hans-Peter Meinzer

Publisher: Springer Science & Business Media

ISBN: 3540786392

Category: Computers

Page: 474

View: 983

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In den letzten Jahren hat sich der Workshop „Bildverarbeitung für die Medizin" erfolgreich etabliert. Ziel ist es, aktuelle Forschungsergebnisse darzustellen und den Dialog zwischen Wissenschaftlern, Industrie und Anwendern zu vertiefen. Die Beiträge der Workshop-Dokumentation - einige in englischer Sprache - behandeln alle Bereiche der medizinischen Bildverarbeitung, insbesondere Bildgebung, CAD, Segmentierung, Bildanalyse, Computerunterstützte Diagnose, Therapieplanung sowie deren klinische Anwendungen.

System Dynamics and Long-Term Behaviour of Railway Vehicles, Track and Subgrade

Author: Karl Popp,Werner Schiehlen,Werner O. Schiehlen

Publisher: Springer Science & Business Media

ISBN: 9783540438922

Category: Computers

Page: 488

View: 2438

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During the last decades completely new technologies for high speed railway vehicles have been developed. The primary goals have been to increase traction, axle load, and travelling speed, and to guarantee the safety of the passengers. However, new developments have revealed new limitations: settlement and destruction of the ballast and the subgrade lead to deterioration of the track; irregular wear of the wheels causes an increase in overall load and deterioration in passenger comfort; and damage of the running surfaces of the rail and the wheel is becoming more frequent. These problems have been investigated in the Priority Programme SPP 1015 supported by the Deutsche Forschungsgemeinschaft (DFG), with the goal of better understanding of the dynamic interaction of vehicle and track, and the long-term behavior of the components of the system. The book contains the scientific results of the programme as presented at the concluding colloquium held at University of Stuttgart, Germany, 2002.