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Göktepe, Serdar

Numerical Mathematics and Advanced Applications ENUMATH 2015

Göktepe, Serdar - Numerical Mathematics and Advanced Applications  ENUMATH 2015, ebook

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Table of contents

Part I. Space Discretization Methods for PDEs

1. DRBEM Solution of MHD Flow and Electric Potential in a Rectangular Pipe with a Moving Lid
Münevver Tezer-Sezgin, Canan Bozkaya

2. DRBEM Solution of the Double Diffusive Convective Flow
Canan Bozkaya, Münevver Tezer-Sezgin

3. Complete Flux Scheme for Conservation Laws Containing a Linear Source
J. H. M. ten Thije Boonkkamp, B. V. Rathish Kumar, S. Kumar, M. Pargaei

4. Second Order Implicit Schemes for Scalar Conservation Laws
Lisa Wagner, Jens Lang, Oliver Kolb

5. Flux Approximation Scheme for the Incompressible Navier-Stokes Equations Using Local Boundary Value Problems
Nikhil Kumar, J. H. M. ten Thije Boonkkamp, Barry Koren

6. On the Full and Global Accuracy of a Compact Third Order WENO Scheme: Part II
Oliver Kolb

7. The Application of the Boundary Element Method to the Theory of MHD Faraday Generators
Adrian Carabineanu

Part II. Finite Element Methods

8. How to Avoid Mass Matrix for Linear Hyperbolic Problems
Rémi Abgrall, Paola Bacigaluppi, Svetlana Tokareva

9. Two-Dimensional H(div)-Conforming Finite Element Spaces with hp-Adaptivity
Philippe R. B. Devloo, Agnaldo M. Farias, Sônia M. Gomes, Denise de Siqueira

10. Finite Elements for the Navier-Stokes Problem with Outflow Condition
Daniel Arndt, Malte Braack, Gert Lube

11. Quasi-Optimality Constants for Parabolic Galerkin Approximation in Space
Francesca Tantardini, Andreas Veeser

12. Numerical Studies on a Second Order Explicitly Decoupled Variational Multiscale Method
Mine Akbas, Songul Kaya, Leo Rebholz

13. Numerical Experiments for Multiscale Problems in Linear Elasticity
Orane Jecker, Assyr Abdulle

14. The Skeleton Reduction for Finite Element Substructuring Methods
Christian Wieners

15. Iterative Coupling of Variational Space-Time Methods for Biot’s System of Poroelasticity
Markus Bause, Uwe Köcher

Part III. Discontinuous Galerkin Methods for PDEs

16. Discontinuous Galerkin Method for the Solution of Elasto-Dynamic and Fluid-Structure Interaction Problems
Miloslav Feistauer, Martin Hadrava, Adam Kosı́k, Jaromı́r Horáček

17. Stable Discontinuous Galerkin FEM Without Penalty Parameters
Lorenz John, Michael Neilan, Iain Smears

18. Time-Space Adaptive Method of Time Layers for the Advective Allen-Cahn Equation
Murat Uzunca, Bülent Karasözen, Ayşe Sarıaydın-Filibelioğlu

19. Semi-implicit DGM Applied to a Model of Flocking
Andrea Živčáková, Václav Kučera

20. Discontinuous and Enriched Galerkin Methods for Phase-Field Fracture Propagation in Elasticity
Prashant Mital, Thomas Wick, Mary F. Wheeler, Gergina Pencheva

21. Numerical Method Based on DGM for Solving the System of Equations Describing Motion of Viscoelastic Fluid with Memory
Ivan Soukup

22. Stability Analysis of the ALE-STDGM for Linear Convection-Diffusion-Reaction Problems in Time-Dependent Domains
Monika Balázsová, Miloslav Feistauer

23. A Posteriori Error Estimates for Nonstationary Problems
Vít Dolejší, Filip Roskovec, Miloslav Vlasák

Part IV. Numerical Linear Algebra and High Performance Computing

24. Multigrid at Scale?
Mark Ainsworth, Christian Glusa

25. A Highly Scalable Implementation of Inexact Nonlinear FETI-DP Without Sparse Direct Solvers
Axel Klawonn, Martin Lanser, Oliver Rheinbach

26. A Parallel Multigrid Solver for Time-Periodic Incompressible Navier–Stokes Equations in 3D
Pietro Benedusi, Daniel Hupp, Peter Arbenz, Rolf Krause

27. Discretization and Parallel Iterative Schemes for Advection-Diffusion-Reaction Problems
Abdullah Ali Sivas, Murat Manguog̃lu, J. H. M. ten Thije Boonkkamp, M.. J. H. Anthonissen

28. A Simple Proposal for Parallel Computation Over Time of an Evolutionary Process with Implicit Time Stepping
Eleanor McDonald, Andy Wathen

29. The Induced Dimension Reduction Method Applied to Convection-Diffusion-Reaction Problems
Reinaldo Astudillo, Martin B. Gijzen

30. Block Variants of the COCG and COCR Methods for Solving Complex Symmetric Linear Systems with Multiple Right-Hand Sides
Xian-Ming Gu, Bruno Carpentieri, Ting-Zhu Huang, Jing Meng

Part V. Reduced Order Modeling

31. Model Reduction for Multiscale Lithium-Ion Battery Simulation
Mario Ohlberger, Stephan Rave, Felix Schindler

32. Multiscale Model Reduction Methods for Flow in Heterogeneous Porous Media
Assyr Abdulle, Ondrej Budáč

33. Output Error Estimates in Reduced Basis Methods for Time-Harmonic Maxwell’s Equations
Martin W. Hess, Peter Benner

34. Reduced Basis Exact Error Estimates with Wavelets
Mazen Ali, Karsten Urban

35. Model Order Reduction for Pattern Formation in FitzHugh-Nagumo Equations
Bülent Karasözen, Murat Uzunca, Tuğba Küçükseyhan

36. Local Parametrization of Subspaces on Matrix Manifolds via Derivative Information
Ralf Zimmermann

37. Reduced-Order Multiobjective Optimal Control of Semilinear Parabolic Problems
Laura Iapichino, Stefan Trenz, Stefan Volkwein

Part VI. Problems with Singularities

38. Coupling Fluid-Structure Interaction with Phase-Field Fracture: Modeling and a Numerical Example
Thomas Wick

39. Weighted FEM for Two-Dimensional Elasticity Problem with Corner Singularity
Viktor A. Rukavishnikov

40. A Local Error Estimate for the Poisson Equation with a Line Source Term
Tobias Köppl, Ettore Vidotto, Barbara Wohlmuth

41. Multirate Undrained Splitting for Coupled Flow and Geomechanics in Porous Media
Kundan Kumar, Tameem Almani, Gurpreet Singh, Mary F. Wheeler

Part VII. Computational Fluid Dynamics

42. CFD Simulation of Interaction between a Fluid and a Vibrating Profile
Petr Furmánek, Karel Kozel

43. Chebyshev Spectral Collocation Method for Natural Convection Flow of a Micropolar Nanofluid in the Presence of a Magnetic Field
Önder Türk

44. Drag Reduction via Phase Randomization in Turbulent Pipe Flow
Ozan Tugluk, Hakan I. Tarman

45. CFD Optimization of a Vegetation Barrier
Viktor Ší́p, Luděk Beneš

46. Modified Newton Solver for Yield Stress Fluids
Saptarshi Mandal, Abderrahim Ouazzi, Stefan Turek

47. Numerical Simulation of 3D Flow of Viscous and Viscoelastic Fluids in T-Junction Channel
Radka Keslerová, David Trdlička

48. Computational Simulations of Fractional Flow Reserve Variability
Timur Gamilov, Philippe Kopylov, Sergey Simakov

49. On the Mathematical Modeling of Monocytes Transmigration
Oualid Kafi, Adélia Sequeira, Soumaya Boujena

Part VIII. Computational Methods for Multi-physics Phenomena

50. Parallel Two-Level Overlapping Schwarz Methods in Fluid-Structure Interaction
Alexander Heinlein, Axel Klawonn, Oliver Rheinbach

51. Finite Volume Scheme for Modeling of NAPL Vapor Transport in Air
Ondřej Pártl, Michal Beneš, Peter Frolkovič

52. Numerical Solution of Constrained Curvature Flow for Closed Planar Curves
Miroslav Kolář, Michal Beneš, Daniel Ševčovič

53. Analysis of a T, ϕϕ Formulation of the Eddy Current Problem Based on Edge Finite Elements
Alfredo Bermúdez, Marta Piñeiro, Rodolfo Rodríguez, Pilar Salgado

54. Two Variants of Stabilized Nodal-Based FEM for the Magnetic Induction Problem
Utku Kaya, Benjamin Wacker, Gert Lube

55. Modeling of a Three-Dimensional Spherulite Microstructure in Semicrystalline Polymers
H. Emre Oktay, Ercan Gürses

56. Numerical Approximation of Interaction of Fluid Flow and Elastic Structure Vibrations
Jan Valášek, Petr Sváček, Jaromír Horáček

Part IX. Miscellaneous Topics

57. Comparison of Nonlocal Operators Utilizing Perturbation Analysis
Burak Aksoylu, Fatih Celiker

58. Pricing of Basket Options Using Dimension Reduction and Adaptive Finite Differences in Space, and Discontinuous Galerkin in Time
Lina Sydow, Paria Ghafari, Erik Lehto, Mats Wångersjö

59. On the Stability of a Weighted Finite Difference Scheme for Hyperbolic Equation with Integral Boundary Conditions
Jurij Novickij, Artūras Štikonas, Agnė Skučaitė

60. A Riemannian BFGS Method for Nonconvex Optimization Problems
Wen Huang, P.-A. Absil, Kyle A. Gallivan

61. Discrete Lie Derivative
Marc Gerritsma, Jeroen Kunnen, Boudewijn Heij

Keywords: Mathematics, Numerical Analysis, Mathematical and Computational Biology, Computational Science and Engineering, Calculus of Variations and Optimal Control; Optimization, Math Applications in Computer Science

Editor
 
 
 
 
Publisher
Springer
Publication year
2016
Language
en
Edition
1
Series
Lecture Notes in Computational Science and Engineering
Category
Natural Sciences
Format
Ebook
eISBN (PDF)
9783319399294
Printed ISBN
978-3-319-39927-0

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