Huang, Yunqing

Domain Decomposition Methods in Science and Engineering XIX

Huang, Yunqing - Domain Decomposition Methods in Science and Engineering XIX, ebook


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Table of contents

1. Domain Decomposition and hp-Adaptive Finite Elements
Randolph E. Bank*, Hieu Nguyen†

2. Domain Decomposition Methods for Electromagnetic Wave Propagation Problems in Heterogeneous Media and Complex Domains
Victorita Dolean, Mohamed El Bouajaji, Martin J. Gander, Stéphane Lanteri, Ronan Perrussel

3. N–N Solvers for a DG Discretization for Geometrically Nonconforming Substructures and Discontinuous Coefficients
Maksymilian Dryja*, Juan Galvis, Marcus Sarkis

4. On Adaptive-Multilevel BDDC
Bedřich Sousedík*, Jan Mandel†

5. Interpolation Based Local Postprocessing for Adaptive Finite Element Approximations in Electronic Structure Calculations
Jun Fang, Xingyu Gao, Xingao Gong, Aihui Zhou

6. A New a Posteriori Error Estimate for Adaptive Finite Element Methods
Yunqing Huang, Huayi Wei, Wei Yang, Nianyu Yi

7. Space-Time Nonconforming Optimized Schwarz Waveform Relaxation for Heterogeneous Problems and General Geometries
Laurence Halpern, Caroline Japhet*, Jérémie Szeftel

8. Convergence Behaviour of Dirichlet–Neumann and Robin Methods for a Nonlinear Transmission Problem
Heiko Berninger, Ralf Kornhuber, Oliver Sander*

9. Optimal Interface Conditions for an Arbitrary Decomposition into Subdomains
Martin J. Gander, Felix Kwok

10. Optimized Schwarz Methods for Domains with an Arbitrary Interface
Shiu Hong Lui

11. Can the Discretization Modify the Performance of Schwarz Methods?
Victorita Dolean, Martin J. Gander

12. The Pole Condition: A Padé Approximation of the Dirichlet to Neumann Operator
Martin J. Gander, Achim Schädle

13. Discontinuous Galerkin and Nonconforming in Time Optimized Schwarz Waveform Relaxation
Laurence Halpern, Caroline Japhet*, Jérémie Szeftel*

14. Two-Level Methods for Blood Flow Simulation
Andrew T. Barker, Xiao-Chuan Cai

15. Newton-Krylov-Schwarz Method for a Spherical Shallow Water Model*
Chao Yang, Xiao-Chuan Cai

16. A Parallel Scalable PETSc-Based Jacobi-Davidson Polynomial Eigensolver with Application in Quantum Dot Simulation
Zih-Hao Wei, Feng-Nan Hwang, Tsung-Ming Huang, Weichung Wang

17. Two-Level Multiplicative Domain Decomposition Algorithm for Recovering the Lamé Coefficient in Biological Tissues
Si Liu, Xiao-Chuan Cai

18. Robust Preconditioner for H(curl) Interface Problems
Jinchao Xu, Yunrong Zhu

19. Mixed Multiscale Finite Element Analysis for Wave Equations Using Global Information
Lijian Jiang, Yalchin Efendiev

20. A Domain Decomposition Preconditioner for Multiscale High-Contrast Problems
Yalchin Efendiev, Juan Galvis

21. Weighted Poincaré Inequalities and Applications in Domain Decomposition
Clemens Pechstein, Robert Scheichl

22. Technical Tools for Boundary Layers and Applications to Heterogeneous Coefficients
Maksymilian Dryja*, Marcus Sarkis

23. Coarse Spaces over the Ages
Jan Mandel*, Bedřich Sousedík†

24. FETI-DP for Stokes-Mortar-Darcy Systems
Juan Galvis, Marcus Sarkis

25. Multigrid Methods for Elliptic Obstacle Problems on 2D Bisection Grids
Long Chen, Ricardo H. Nochetto, Chen-Song Zhang

26. How Close to the Fully Viscous Solution Can One Get with Inviscid Approximations in Subregions ?
Martin J. Gander, Laurence Halpern, Veronique Martin

27. Schwarz Waveform Relaxation Algorithms with Nonlinear Transmission Conditions for Reaction-Diffusion Equations
Filipa Caetano, Martin J. Gander, Laurence Halpern, Jérémie Szeftel

28. Recent Advances in Schwarz Waveform Moving Mesh Methods – A New Moving Subdomain Method
Ronald D. Haynes

29. Optimized Schwarz Waveform Relaxation Methods: A Large Scale Numerical Study
Martin J. Gander, Loïc Gouarin, Laurence Halpern

30. Optimized Schwarz Methods for Maxwell’s Equations with Non-zero Electric Conductivity
Victorita Dolean, Mohamed El Bouajaji, Martin J. Gander, Stéphane Lanteri

31. Robust Boundary Element Domain Decomposition Solvers in Acoustics
Olaf Steinbach, Markus Windisch

32. A Newton Based Fluid–Structure Interaction Solver with Algebraic Multigrid Methods on Hybrid Meshes
Huidong Yang, Walter Zulehner

33. Coupled FE/BE Formulations for the Fluid–Structure Interaction
Günther Of, Olaf Steinbach

34. Domain Decomposition Solvers for Frequency-Domain Finite Element Equations
Dylan Copeland, Michael Kolmbauer, Ulrich Langer

35. Deriving the X-Z Identity from Auxiliary Space Method*
Long Chen

36. A Near-Optimal Hierarchical Estimate Based Adaptive Finite Element Method for Obstacle Problems
Qingsong Zou

37. Efficient Parallel Preconditioners for High-Order Finite Element Discretizations of H(grad) and H(curl) Problems
Junxian Wang, Shi Shu, Liuqiang Zhong

38. A Simple Uniformly Convergent Iterative Method for the Non-symmetric Incomplete Interior Penalty Discontinuous Galerkin Discretization
Blanca Ayuso, Ludmil T. Zikatanov

39. A Study of Prolongation Operators Between Non-nested Meshes
Thomas Dickopf*, Rolf Krause

40. A Parallel Schwarz Method for Multiple Scattering Problems
Daisuke Koyama

41. Numerical Method for Antenna Radiation Problem by FDTD Method with PML
Takashi Kako, Yoshiharu Ohi

42. On Domain Decomposition Algorithms for Contact Problems with Tresca Friction
Julien Riton, Taoufik Sassi, Radek Kučera

43. Numerical Solution of Linear Elliptic Problems with Robin Boundary Conditions by a Least-Squares/Fictitious Domain Method
Roland Glowinski, Qiaolin He

44. An Uzawa Domain Decomposition Method for Stokes Problem
Jonas Koko, Taoufik Sassi

45. A Domain Decomposition Method Combining a Boundary Element Method with a Meshless Local Petrov-Galerkin Method
Li Maojun, Zhu Jialin

46. A Domain Decomposition Method Based on Augmented Lagrangian with a Penalty Term in Three Dimensions
Chang-Ock Lee, Eun-Hee Park

47. Spectral Element Agglomerate Algebraic Multigrid Methods for Elliptic Problems with High-Contrast Coefficients
Yalchin Efendiev, Juan Galvis, Panayot S. Vassilevski

48. A FETI-DP Formation for the Stokes Problem Without Primal Pressure Components
Hyea Hyun Kim, Chang-Ock Lee

49. Schwarz Waveform Relaxation Methods for Systems of Semi-Linear Reaction-Diffusion Equations
Stéphane Descombes, Victorita Dolean, Martin J. Gander

50. A Sparse QS-Decomposition for Large Sparse Linear System of Equations
Wujian Peng, Biswa N. Datta

51. Is Additive Schwarz with Harmonic Extension Just Lions’ Method in Disguise?
Felix Kwok

52. Domain Decomposition Methods for a Complementarity Problem*
Haijian Yang, Xiao-Chuan Cai

53. A Posteriori Error Estimates for Semilinear Boundary Control Problems
Yanping Chen, Zuliang Lu

Keywords: Mathematics, Computational Mathematics and Numerical Analysis, Computational Science and Engineering, Numerical and Computational Physics, Mathematics of Computing

Publication year
Lecture Notes in Computational Science and Engineering
Page amount
24 pages
Natural Sciences

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