Castro, Alfredo Bermúdez de

Numerical Mathematics and Advanced Applications

Castro, Alfredo Bermúdez de - Numerical Mathematics and Advanced Applications, ebook


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Table of contents

1. Compatible Discretizations in Two Dimensions
Annalisa Buffa

2. Finite Element Approximation of the Three Field Formulation of the Elasticity Problem Using Stabilization
Ramon Codina

3. Convergence of Adaptive Wavelet Methods for Goal-Oriented Error Estimation
Wolfgang Dahmen, Angela Kunoth, Jürgen Vorloeper

4. Quadratic Programming and Scalable Algorithms for Variational Inequalities
Zden?ek Dostál, David Horák, Dan Stefanica

5. Discontinuous Galerkin Methods for Friedrichs’ Systems
Alexandre Ern, Jean-Luc Guermond

6. Highly Oscillatory Quadrature: The Story so Far
A. Iserles, S.P. Nørsett, S. Olver

7. The 3D Inverse Electromagnetic Scattering Problem for a Coated Dielectric
Fioralba Cakoni, Peter Monk

8. Functional Approach to Locally Based A Posteriori Error Estimates for Elliptic and Parabolic Problems
Sergey Repin

9. Finite Element Approximation of 2D Parabolic Optimal Design Problems
Miguel Cea, Enrique Zuazua

10. 3D Free Surface Flows Simulations Using a Multilayer Saint-Venant Model. Comparisons with Navier-Stokes Solutions
E. Audusse, M.O. Bristeau, A. Decoene

11. Some Well-Balanced Shallow Water-Sediment Transport Models
M. J. Castro-Díaz, E. D. Fernández-Nieto, A. M. Ferreiro

12. Highly Accurate Conservative Finite Difference Schemes and Adaptive Mesh Refinement Techniques for Hyperbolic Systems of Conservation Laws
Pep Mulet, Antonio Baeza

13. Finite Volume Solvers for the Shallow Water Equations Using Matrix Radial Basis Function Reconstruction
L. Bonaventura, E. Miglio, F. Saleri

14. On Numerical Schemes for a Hierarchy of Kinetic Equations
Hans Babovsky, Laek S. Andallah

15. Computational Aspects of the Mesh Adaptation for the Time Marching Procedure
Ji?í Felcman, Petr Kubera

16. On the Use of Slope Limiters for the Design of Recovery Based Error Indicators
M. Möller, D. Kuzmin

17. On a Superconvergence Result for Mixed Approximation of Eigenvalue Problems
Francesca Gardini

18. Comparative Study of the a Posteriori Error Estimators for the Stokes Problem
Elena Gorshkova, Pekka Neittaanmäki, Sergey Repin

19. Error Control for Discretizations of Electromagnetic-Mechanical Multifield Problem
Marcus Stiemer

20. A Safeguarded Zienkiewicz-Zhu Estimator
Francesca Fierro, Andreas Veeser

21. Some Remarks on a Model for the Atmospheric Pressure in Ocean Dynamics
T. Chacón Rebollo, E. D. Fernández Nieto, M. Gómez Mármol

22. Computational Time Improvement for Some Shallow Water Finite Volume Models Applying Parallelization and Optimized Small Matrix Computations.
M. J. Castro, J. A. García, J. M. González, C. Parés

23. Discretization Error Estimates for an Optimal Control Problem in a Nonconvex Domain
Th. Apel, A. Rösch, G. Winkler

24. A Posteriori Estimates for Cost Functionals of Optimal Control Problems
Alexandra Gaevskaya, Ronald H.W. Hoppe, Sergey Repin

25. Optimization of a Duality Method for the Compressible Reynolds Equation
Iñigo Arregui, J. Jesús Cend án, Carlos Parés, Carlos Vázquez

26. Time-Space & Space-Time Elements for Unsteady Advection-Dominated Problems
Maria Isabel Asensio, Blanca Ayuso, Giancarlo Sangalli

27. On Discontinuity—Capturing Methods for Convection—Diffusion Equations
Volker John, Petr Knobloch

28. Algebraic Flux Correction for Finite Element Approximation of Transport Equations
Dmitri Kuzmin

29. A Parallel Multiparametric Gauss-Seidel Method
N. M. Missirlis, F. I. Tzaferis

30. A Numerical Scheme for the Micro Scale Dissolution and Precipitation in Porous Media
I.S. Pop, V.M. Devigne, C.J. van Duijn, T. Clopeau

31. Discrete Kinetic Methods for a Degenerate Parabolic Equation in Dimension Two.
Denise Aregba-Driollet

32. Anisotropic Doubly Nonlinear Degenerate Parabolic Equations
Mostafa Bendahmane, Kenneth H. Karlsen

33. A Multiresolution Method for the Simulation of Sedimentation-Consolidation Processes
Raimund Bürger, Alice Kozakevicius

34. Diffusive Relaxation Limit for Hyperbolic Systems
Corrado Lattanzio

35. Parallel Algorithms for Nonlinear Diffusion by Using Relaxation Approximation
Fausto Cavalli, Giovanni Naldi, Matteo Semplice

36. On a Degenerated Parabolic-Hyperbolic Problem Arising From Stratigraphy
Guy Vallet

37. Schwarz Domain Decomposition Preconditioners for Interior Penalty Approximations of Elliptic Problems
Paola F. Antonietti, Blanca Ayuso, Luca Heltai

38. Higher Order Semi-Implicit Discontinuous Galerkin Finite Element Schemes for Nonlinear Convection-Diffusion Problems
Vít Dolejší

39. On Some Aspects of the Discontinuous Galerkin Method
Miloslav Feistauer

40. Mixed Discontinuous Galerkin Methods with Minimal Stabilization
Daniele Marazzina

41. Discontinuous Galerkin Finite Element Method for a Fourth-Order Nonlinear Elliptic Equation Related to the Two-Dimensional Navier-Stokes Equations
Igor Mozolevski, Endre Süli, Paulo Rafael Bösing

42. Fourier Method with Nitsche-Mortaring for the Poisson Equation in 3D
Bernd Heinrich, Beate Jung

43. Substructuring Preconditioners for the Bidomain Extracellular Potential Problem
Micol Pennacchio, Valeria Simoncini

44. A Face Penalty Method for the Three Fields Stokes Equation Arising from Oldroyd-B Viscoelastic Flows
Andrea Bonito, Erik Burman

45. Anisotropic H
1-Stable Projections on Quadrilateral Meshes
Malte Braack

46. Continuous Interior Penalty hp-Finite Element Methods for Transport Operators
Erik Burman, Alexandre Ern

47. A Nonconforming Finite Element Method with Face Penalty for Advection—Diffusion Equations
L. El Alaoui, A. Ern, E. Burman

48. Efficient Multigrid and Data Structures for Edge-Oriented FEM Stabilization
Abderrahim Ouazzi, Stefan Turek

49. Adaptive Methods for Dynamical Micromagnetics
L’ubomír Ba?as

50. Stability for Walls in Ferromagnetic Nanowire
G. Carbou, S. Labbé

51. Continuous Galerkin Methods for Solving Maxwell Equations in 3D Geometries
Patrick Ciarlet, Erell Jamelot

52. On the Use of the Gautschi-Type Exponential Integrator for Wave Equations
Volker Grimm

53. Positivity of Exponential Multistep Methods
Alexander Ostermann, Mechthild Thalhammer

54. Stability Results and Algorithmic Strategies for the Finite Element Approach to the Immersed Boundary Method
Daniele Boffi, Lucia Gastaldi, Luca Heltai

55. A Comparison of Enthalpy and Temperature Methods for Melting Problems on Composite Domains
J.H. Brusche, A. Segal, C. Vuik, H.P. Urbach

56. Qualitative Properties of a Numerical Scheme for the Heat Equation
Liviu I. Ignat

57. Modeling Radiation and Moisture Content in Fire Spread
L. Ferragut, M.I. Asensio, S. Monedero

58. Fast Multipole Method for Solving the Radiosity Equation
J. Morice, K. Mer-Nkonga, A. Bachelot

59. Numerical Modelling of Kinetic Equations
J. Banasiak, N. Parumasur, J.M. Kozakiewicz

60. On a Subclass of Hölder Continuous Functions with Applications to Signal Processing
Sergio Amat, Sonia Busquier, Antonio Escudero, J. Carlos Trillo

61. Modelisation and Simulation of Static Grain Deep-Bed Drying
Aworou-Waste Aregba, Denise Aregba-Driollet

62. Hybrid Godunov-Glimm Method for a Nonconservative Hyperbolic System with Kinetic Relations
Bruno Audebert, Frédéric Coquel

63. Cell-Average Multiwavelets Based on Hermite Interpolation
F. Aràndiga, A. Baeza, R. Donat

64. On a General Definition of the Godunov Method for Nonconservative Hyperbolic Systems. Application to Linear Balance Laws
M.J. Castro, J.M. Gallardo, M.L. Muñoz, C. Parés

65. Sequential Flux-Corrected Remapping for ALE Methods
Pavel Váchal, Richard Liska

66. Orthogonal hp-FEM for Elliptic Problems Based on a Non-Affine Concept
Pavel Šolín, Tomáš Vejchodský, Martin Zítka

67. On Some Aspects of the hp-FEM for Time-Harmonic Maxwell’s Equations
Tomáš Vejchodský, Pavel Šolín, Martin Zítka

68. Numerical Simulation of Phase-Transition Front Propagation in Thermoelastic Solids
A. Berezovski, G.A. Maugin

69. The Level Set Method for Solid-Solid Phase Transformations
E. Javierre, C. Vuik, F. Vermolen, A. Segal, S. van der Zwaag

70. A Non-Monotone Fast Marching Scheme for a Hamilton-Jacobi Equation Modelling Dislocation Dynamics
Elisabetta Carlini, Emiliano Cristiani, Nicolas Forcadel

71. A Time—Adaptive Semi—Lagrangian Approximation to Mean Curvature Motion
Elisabetta Carlini, Maurizio Falcone, Roberto Ferretti

72. Heterogeneous Multiscale Methods with Quadrilateral Finite Elements
Assyr Abdulle

73. Stabilizing the ?1/?0 Element for the Stokes Problem via Multiscale Enrichment
Rodolfo Araya, Gabriel R. Barrenechea, Frédéric Valentin

74. Adaptive Multiresolution Methods for the Simulation of Shocks/Shear Layer Interaction in Confined Flows
L. Bentaleb, O. Roussel, C. Tenaud

75. Local Projection Stabilization for the Stokes System on Anisotropic Quadrilateral Meshes
Malte Braack, Thomas Richter

76. An Interior Penalty Variational Multiscale Method for High Reynolds Number Flows
Erik Burman

77. Variational Multiscale Large Eddy Simulation of Turbulent Flows Using a Two-Grid Finite Element or Finite Volume Method
Volker Gravemeier

78. Issues for a Mathematical Definition of LES
Jean-Luc Guermond, Serge Prudhomme

79. Stabilized FEM with Anisotropic Mesh Refinement for the Oseen Problem
Gert Lube, Tobias Knopp, Ralf Gritzki

80. Semi-Implicit Multiresolution for Multiphase Flows
N. Andrianov, F. Coquel, M. Postel, Q. H. Tran

81. Numerical Simulation of Vortex-Dipole Wall Interactions Using an Adaptive Wavelet Discretization with Volume Penalisation
Kai Schneider, Marie Farge

82. Inviscid Flow on Moving Grids with Multiscale Space and Time Adaptivity
Philipp Lamby, Ralf Massjung, Siegfried Müller, Youssef Stiriba

83. A Relaxation Method for a Two Phase Flow with Surface Tension
C. Berthon, B. Braconnier, J. Claudel, B. Nkonga

84. Extension of Interface Coupling to General Lagrangian Systems
A. Ambroso, C. Chalons, F. Coquel, E. Godlewski, F. Lagoutière, P.-A. Raviart, N. Seguin

85. A Numerical Scheme for the Modeling of Condensation and Flash Vaporization in Compressible Multi-Phase Flows
Vincent Perrier, Rémi Abgrall, Ludovic Hallo

86. An Adaptive Operator Splitting of Higher Order for the Navier-Stokes Equations
Jörg Frochte, Wilhelm Heinrichs

87. The POD Technique for Computing Bifurcation Diagrams: A Comparison among Different Models in Fluids
Pedro Galán del Sastre, Rodolfo Bermejo

88. Filtering of Singularities in a Marangoni Convection Problem
Henar Herrero, Ana M. Mancho, Sergio Hoyas

89. On Application of Stabilized Higher Order Finite Element Method on Unsteady Incompressible Flow Problems
Petr Svá?ek, Jaromír Horá?ek

90. Numerical Simulation of Coupled Fluid-Solid Systems by Fictitious Boundary and Grid Deformation Methods
Decheng Wan, Stefan Turek

91. An Iterative Method for Solving Non-Linear Hydromagnetic Equations
C. Boulbe, T.Z. Boulmezaoud, T. Amari

92. Mathematical and Numerical Analysis of a Class of Non-linear Elliptic Equations in the Two Dimensional Case
Nour Eddine Alaa, Abderrahim Cheggour, Jean R. Roche

93. A s-step Variant of the Double Orthogonal Series Algorithm
J.A. Alvarez-Dios, J.C. Cabaleiro, G. Casal

94. Linear Equations in Quaternions
Drahoslava Janovská, Gerhard Opfer

95. Computing the Analytic Singular Value Decomposition via a Pathfollowing
Vladimír Janovský, Drahoslava Janovská, Kunio Tanabe

96. A Jacobi-Davidson Method for Computing Partial Generalized Real Schur Forms
Tycho van Noorden, Joost Rommes

97. Pricing Multi-Asset Options with Sparse Grids and Fourth Order Finite Differences
C.C.W. Leentvaar, C.W. Oosterlee

98. A Third Order Linearly Implicit Fractional Step Method for Semilinear Parabolic Problems
Blanca Bujanda, Juan Carlos Jorge

99. Numerical Solution of Optimal Control Problems with Sparse SQP-Methods
Georg Wimmer, Thorsten Steinmetz, Markus Clemens

100. Semi-Deterministic Recursive Optimization Methods for Multichannel Optical Filters
Benjamin Ivorra, Bijan Mohammadi, Laurent Dumas, Olivier Durand

101. A Multigrid Method for Coupled Optimal Topology and Shape Design in Nonlinear Magnetostatics
Dalibor Lukáš

102. Nonsmooth Optimization of Eigenvalues in Topology Optimization
K. Moritzen

103. Derivative Free Optimization of Stirrer Configurations
M. Schäfer, B. Karasözen, Ö. U?ur, K. Yap?c?

104. Mathematical Modelling and Numerical Optimization in the Process of River Pollution Control
L.J. Alvarez-Vázquez, A. Martínez, M.E. Vázquez-Méndez, M. Vilar

105. A Family of C° Finite Elements for Kirchhoff Plates with Free Boundary Conditions
L. Beirão da Veiga, J. Niiranen, R. Stenberg

106. A Postprocessing Method for the MITC Plate Elements
Mikko Lyly, Jarkko Niiranen, Rolf Stenberg

107. A Uniformly Stable Finite Difference Space Semi-Discretization for the Internal Stabilization of the Plate Equation in a Square
Karim Ramdani, Takéo Takahashi, Marius Tucsnak

108. An ?-Uniform Hybrid Scheme for Singularly Perturbed 1-D Reaction-Diffusion Problems
S. Natesan, R.K. Bawa, C. Clavero

109. A Dynamic Frictional Contact Problem of a Viscoelastic Beam
M. Campo, J.R. Fernández, G.E. Stavroulakis, J.M. Viaño

110. Numerical Analysis of a Frictional Contact Problem for Viscoelastic Materials with Long-Term Memory
A. Rodríguez-Arós, M. Sofonea, J. Viaño

111. A Suitable Numerical Algorithm for the Simulation of the Butt Curl Deformation of an Aluminium Slab
P. Barral, M.T. Sánchez

112. An Efficient Solution Algorithm for Elastoplasticity and its First Implementation Towards Uniform h- and p- Mesh Refinements
Johanna Kienesberger, Jan Valdman

113. A LDG-BEM Coupling for a Class of Nonlinear Exterior Transmission Problems
Rommel Bustinza, Gabriel N. Gatica, Francisco-Javier Sayas

114. High Order Boundary Integral Methods for Maxwell’s Equations: Coupling of Microlocal Discretization and Fast Multipole Methods
L. Gatard, A. Bachelot, K. Mer-Nkonga

115. Indirect Methods with Brakhage-Werner Potentials for Helmholtz Transmission Problems
María-Luisa Rapún, Francisco-Javier Sayas

116. A FEM—BEM Formulation for a Time—Dependent Eddy Current Problem
S. Meddahi, V. Selgas

117. Mixed Boundary Element—Finite Volume Methods for Thermohydrodynamic Lubrication Problems
J. Durany, J. Pereira, F. Varas

118. Numerical Modelling for Leaching of Pesticides in Soils Modified by a Cationic Surfactant
M.I. Asensio, L. Ferragut, S. Monedero, M.S. Rodríguez-Cruz, M.J. Sánchez-Martín

119. Formulation of Mixed-Hybrid FE Model of Flow in Fractured Porous Medium
Ji?ina Královcová, Ji?í Maryška, Otto Severýn, Jan Šembera

120. Newton—Type Methods for the Mixed Finite Element Discretization of Some Degenerate Parabolic Equations
Florin A. Radu, Iuliu Sorin Pop, Peter Knabner

121. Domain Decomposition Methods for Wave Propagation in Heterogeneous Media
R. Glowinski, S. Lapin, J. Periaux, P.M. Jacquart, H.Q. Chen

122. Galbrun’s Equation Solved by a First Order Characteristics Method
Rodolfo Rodríguez, Duarte Santamarina

123. Open Subsystems of Conservative Systems
Alexander Figotin, Stephen P. Shipman

Keywords: Mathematics, Computational Mathematics and Numerical Analysis, Computational Science and Engineering

Publication year
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1251 pages
Natural Sciences

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