Numerical Mathematics and Advanced Applications

de Castro, Alfredo Bermúdez; Gómez, Dolores; Quintela, Peregrina; Salgado, Pilar

Numerical Mathematics and Advanced Applications

Edited by Alfredo Bermúdez de Castro (), Dolores Gómez (), Peregrina Quintela () and Pilar Salgado ()

in Springer Books from Springer

Date: 2006
ISBN: 978-3-540-34288-5
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Chapters in this book:

Compatible Discretizations in Two Dimensions: Annalisa Buffa
Finite Element Approximation of the Three Field Formulation of the Elasticity Problem Using Stabilization: Ramon Codina
Convergence of Adaptive Wavelet Methods for Goal-Oriented Error Estimation: Wolfgang Dahmen, Angela Kunoth and Jürgen Vorloeper
Quadratic Programming and Scalable Algorithms for Variational Inequalities: Zdeněek Dostál, David Horák and Dan Stefanica
Discontinuous Galerkin Methods for Friedrichs’ Systems: Alexandre Ern and Jean-Luc Guermond
Highly Oscillatory Quadrature: The Story so Far: A. Iserles, S.P. Nørsett and S. Olver
The 3D Inverse Electromagnetic Scattering Problem for a Coated Dielectric: Fioralba Cakoni and Peter Monk
Functional Approach to Locally Based A Posteriori Error Estimates for Elliptic and Parabolic Problems: Sergey Repin
Finite Element Approximation of 2D Parabolic Optimal Design Problems: Miguel Cea and Enrique Zuazua
3D Free Surface Flows Simulations Using a Multilayer Saint-Venant Model. Comparisons with Navier-Stokes Solutions: E. Audusse, M.O. Bristeau and A. Decoene
Some Well-Balanced Shallow Water-Sediment Transport Models: M. J. Castro-Díaz, E. D. Fernández-Nieto and A. M. Ferreiro
Highly Accurate Conservative Finite Difference Schemes and Adaptive Mesh Refinement Techniques for Hyperbolic Systems of Conservation Laws: Pep Mulet and Antonio Baeza
Finite Volume Solvers for the Shallow Water Equations Using Matrix Radial Basis Function Reconstruction: L. Bonaventura, E. Miglio and F. Saleri
On Numerical Schemes for a Hierarchy of Kinetic Equations: Hans Babovsky and Laek S. Andallah
Computational Aspects of the Mesh Adaptation for the Time Marching Procedure: Jiří Felcman and Petr Kubera
On the Use of Slope Limiters for the Design of Recovery Based Error Indicators: M. Möller and D. Kuzmin
On a Superconvergence Result for Mixed Approximation of Eigenvalue Problems: Francesca Gardini
Comparative Study of the a Posteriori Error Estimators for the Stokes Problem: Elena Gorshkova, Pekka Neittaanmäki and Sergey Repin
Error Control for Discretizations of Electromagnetic-Mechanical Multifield Problem: Marcus Stiemer
A Safeguarded Zienkiewicz-Zhu Estimator: Francesca Fierro and Andreas Veeser
Some Remarks on a Model for the Atmospheric Pressure in Ocean Dynamics: T. Chacón Rebollo, E. D. Fernández Nieto and M. Gómez Mármol
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 and C. Parés
Discretization Error Estimates for an Optimal Control Problem in a Nonconvex Domain: Th. Apel, A. Rösch and G. Winkler
A Posteriori Estimates for Cost Functionals of Optimal Control Problems: Alexandra Gaevskaya, Ronald H.W. Hoppe and Sergey Repin
Optimization of a Duality Method for the Compressible Reynolds Equation: Iñigo Arregui, J. Jesús Cend Án, Carlos Parés and Carlos Vázquez
Time-Space & Space-Time Elements for Unsteady Advection-Dominated Problems: Maria Isabel Asensio, Blanca Ayuso and Giancarlo Sangalli
On Discontinuity—Capturing Methods for Convection—Diffusion Equations: Volker John and Petr Knobloch
Algebraic Flux Correction for Finite Element Approximation of Transport Equations: Dmitri Kuzmin
A Parallel Multiparametric Gauss-Seidel Method: N. M. Missirlis and F. I. Tzaferis
A Numerical Scheme for the Micro Scale Dissolution and Precipitation in Porous Media: I.S. Pop, V.M. Devigne, C.J. van Duijn and T. Clopeau
Discrete Kinetic Methods for a Degenerate Parabolic Equation in Dimension Two: Denise Aregba-Driollet
Anisotropic Doubly Nonlinear Degenerate Parabolic Equations: Mostafa Bendahmane and Kenneth H. Karlsen
A Multiresolution Method for the Simulation of Sedimentation-Consolidation Processes: Raimund Bürger and Alice Kozakevicius
Diffusive Relaxation Limit for Hyperbolic Systems: Corrado Lattanzio
Parallel Algorithms for Nonlinear Diffusion by Using Relaxation Approximation: Fausto Cavalli, Giovanni Naldi and Matteo Semplice
On a Degenerated Parabolic-Hyperbolic Problem Arising From Stratigraphy: Guy Vallet
Schwarz Domain Decomposition Preconditioners for Interior Penalty Approximations of Elliptic Problems: Paola F. Antonietti, Blanca Ayuso and Luca Heltai
Higher Order Semi-Implicit Discontinuous Galerkin Finite Element Schemes for Nonlinear Convection-Diffusion Problems: Vít Dolejší
On Some Aspects of the Discontinuous Galerkin Method: Miloslav Feistauer
Mixed Discontinuous Galerkin Methods with Minimal Stabilization: Daniele Marazzina
Discontinuous Galerkin Finite Element Method for a Fourth-Order Nonlinear Elliptic Equation Related to the Two-Dimensional Navier-Stokes Equations: Igor Mozolevski, Endre Süli and Paulo Rafael Bösing
Fourier Method with Nitsche-Mortaring for the Poisson Equation in 3D: Bernd Heinrich and Beate Jung
Substructuring Preconditioners for the Bidomain Extracellular Potential Problem: Micol Pennacchio and Valeria Simoncini
A Face Penalty Method for the Three Fields Stokes Equation Arising from Oldroyd-B Viscoelastic Flows: Andrea Bonito and Erik Burman
Anisotropic H 1-Stable Projections on Quadrilateral Meshes: Malte Braack
Continuous Interior Penalty hp-Finite Element Methods for Transport Operators: Erik Burman and Alexandre Ern
A Nonconforming Finite Element Method with Face Penalty for Advection—Diffusion Equations: L. El Alaoui, A. Ern and E. Burman
Efficient Multigrid and Data Structures for Edge-Oriented FEM Stabilization: Abderrahim Ouazzi and Stefan Turek
Adaptive Methods for Dynamical Micromagnetics: L’ubomír Baňas
Stability for Walls in Ferromagnetic Nanowire: G. Carbou and S. Labbé
Continuous Galerkin Methods for Solving Maxwell Equations in 3D Geometries: Patrick Ciarlet and Erell Jamelot
On the Use of the Gautschi-Type Exponential Integrator for Wave Equations: Volker Grimm
Positivity of Exponential Multistep Methods: Alexander Ostermann and Mechthild Thalhammer
Stability Results and Algorithmic Strategies for the Finite Element Approach to the Immersed Boundary Method: Daniele Boffi, Lucia Gastaldi and Luca Heltai
A Comparison of Enthalpy and Temperature Methods for Melting Problems on Composite Domains: J.H. Brusche, A. Segal, C. Vuik and H.P. Urbach
Qualitative Properties of a Numerical Scheme for the Heat Equation: Liviu I. Ignat
Modeling Radiation and Moisture Content in Fire Spread: L. Ferragut, M.I. Asensio and S. Monedero
Fast Multipole Method for Solving the Radiosity Equation: J. Morice, K. Mer-Nkonga and A. Bachelot
Numerical Modelling of Kinetic Equations: J. Banasiak, N. Parumasur and J.M. Kozakiewicz
On a Subclass of Hölder Continuous Functions with Applications to Signal Processing: Sergio Amat, Sonia Busquier, Antonio Escudero and J. Carlos Trillo
Modelisation and Simulation of Static Grain Deep-Bed Drying: Aworou-Waste Aregba and Denise Aregba-Driollet
Hybrid Godunov-Glimm Method for a Nonconservative Hyperbolic System with Kinetic Relations: Bruno Audebert and Frédéric Coquel
Cell-Average Multiwavelets Based on Hermite Interpolation: F. Aràndiga, A. Baeza and R. Donat
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 and C. Parés
Sequential Flux-Corrected Remapping for ALE Methods: Pavel Váchal and Richard Liska
Orthogonal hp-FEM for Elliptic Problems Based on a Non-Affine Concept: Pavel Šolín, Tomáš Vejchodský and Martin Zítka
On Some Aspects of the hp-FEM for Time-Harmonic Maxwell’s Equations: Tomáš Vejchodský, Pavel Šolín and Martin Zítka
Numerical Simulation of Phase-Transition Front Propagation in Thermoelastic Solids: A. Berezovski and G.A. Maugin
The Level Set Method for Solid-Solid Phase Transformations: E. Javierre, C. Vuik, F. Vermolen, A. Segal and S. van der Zwaag
A Non-Monotone Fast Marching Scheme for a Hamilton-Jacobi Equation Modelling Dislocation Dynamics: Elisabetta Carlini, Emiliano Cristiani and Nicolas Forcadel
A Time—Adaptive Semi—Lagrangian Approximation to Mean Curvature Motion: Elisabetta Carlini, Maurizio Falcone and Roberto Ferretti
Heterogeneous Multiscale Methods with Quadrilateral Finite Elements: Assyr Abdulle
Stabilizing the ℙ1/ℙ0 Element for the Stokes Problem via Multiscale Enrichment: Rodolfo Araya, Gabriel R. Barrenechea and Frédéric Valentin
Adaptive Multiresolution Methods for the Simulation of Shocks/Shear Layer Interaction in Confined Flows: L. Bentaleb, O. Roussel and C. Tenaud
Local Projection Stabilization for the Stokes System on Anisotropic Quadrilateral Meshes: Malte Braack and Thomas Richter
An Interior Penalty Variational Multiscale Method for High Reynolds Number Flows: Erik Burman
Variational Multiscale Large Eddy Simulation of Turbulent Flows Using a Two-Grid Finite Element or Finite Volume Method: Volker Gravemeier
Issues for a Mathematical Definition of LES: Jean-Luc Guermond and Serge Prudhomme
Stabilized FEM with Anisotropic Mesh Refinement for the Oseen Problem: Gert Lube, Tobias Knopp and Ralf Gritzki
Semi-Implicit Multiresolution for Multiphase Flows: N. Andrianov, F. Coquel, M. Postel and Q. H. Tran
Numerical Simulation of Vortex-Dipole Wall Interactions Using an Adaptive Wavelet Discretization with Volume Penalisation: Kai Schneider and Marie Farge
Inviscid Flow on Moving Grids with Multiscale Space and Time Adaptivity: Philipp Lamby, Ralf Massjung, Siegfried Müller and Youssef Stiriba
A Relaxation Method for a Two Phase Flow with Surface Tension: C. Berthon, B. Braconnier, J. Claudel and B. Nkonga
Extension of Interface Coupling to General Lagrangian Systems: A. Ambroso, C. Chalons, F. Coquel, E. Godlewski, F. Lagoutière, P.-A. Raviart and N. Seguin
A Numerical Scheme for the Modeling of Condensation and Flash Vaporization in Compressible Multi-Phase Flows: Vincent Perrier, Rémi Abgrall and Ludovic Hallo
An Adaptive Operator Splitting of Higher Order for the Navier-Stokes Equations: Jörg Frochte and Wilhelm Heinrichs
The POD Technique for Computing Bifurcation Diagrams: A Comparison among Different Models in Fluids: Pedro Galán del Sastre and Rodolfo Bermejo
Filtering of Singularities in a Marangoni Convection Problem: Henar Herrero, Ana M. Mancho and Sergio Hoyas
On Application of Stabilized Higher Order Finite Element Method on Unsteady Incompressible Flow Problems: Petr Sváček and Jaromír Horáček
Numerical Simulation of Coupled Fluid-Solid Systems by Fictitious Boundary and Grid Deformation Methods: Decheng Wan and Stefan Turek
An Iterative Method for Solving Non-Linear Hydromagnetic Equations: C. Boulbe, T.Z. Boulmezaoud and T. Amari
Mathematical and Numerical Analysis of a Class of Non-linear Elliptic Equations in the Two Dimensional Case: Nour Eddine Alaa, Abderrahim Cheggour and Jean R. Roche
A s-step Variant of the Double Orthogonal Series Algorithm: J.A. Alvarez-Dios, J.C. Cabaleiro and G. Casal
Linear Equations in Quaternions: Drahoslava Janovská and Gerhard Opfer
Computing the Analytic Singular Value Decomposition via a Pathfollowing: Vladimír Janovský, Drahoslava Janovská and Kunio Tanabe
A Jacobi-Davidson Method for Computing Partial Generalized Real Schur Forms: Tycho van Noorden and Joost Rommes
Pricing Multi-Asset Options with Sparse Grids and Fourth Order Finite Differences: C.C.W. Leentvaar and C.W. Oosterlee
A Third Order Linearly Implicit Fractional Step Method for Semilinear Parabolic Problems: Blanca Bujanda and Juan Carlos Jorge
Numerical Solution of Optimal Control Problems with Sparse SQP-Methods: Georg Wimmer, Thorsten Steinmetz and Markus Clemens
Semi-Deterministic Recursive Optimization Methods for Multichannel Optical Filters: Benjamin Ivorra, Bijan Mohammadi, Laurent Dumas and Olivier Durand
A Multigrid Method for Coupled Optimal Topology and Shape Design in Nonlinear Magnetostatics: Dalibor Lukáš
Nonsmooth Optimization of Eigenvalues in Topology Optimization: K. Moritzen
Derivative Free Optimization of Stirrer Configurations: M. Schäfer, B. Karasözen, Ö. Uğur and K. Yapıcı
Mathematical Modelling and Numerical Optimization in the Process of River Pollution Control: L.J. Alvarez-Vázquez, A. Martínez, M.E. Vázquez-Méndez and M. Vilar
A Family of C° Finite Elements for Kirchhoff Plates with Free Boundary Conditions: L. Beirão da Veiga, J. Niiranen and R. Stenberg
A Postprocessing Method for the MITC Plate Elements: Mikko Lyly, Jarkko Niiranen and Rolf Stenberg
A Uniformly Stable Finite Difference Space Semi-Discretization for the Internal Stabilization of the Plate Equation in a Square: Karim Ramdani, Takéo Takahashi and Marius Tucsnak
An ε-Uniform Hybrid Scheme for Singularly Perturbed 1-D Reaction-Diffusion Problems: S. Natesan, R.K. Bawa and C. Clavero
A Dynamic Frictional Contact Problem of a Viscoelastic Beam: M. Campo, J.R. Fernández, G.E. Stavroulakis and J.M. Viaño
Numerical Analysis of a Frictional Contact Problem for Viscoelastic Materials with Long-Term Memory: A. Rodríguez-Arós, M. Sofonea and J. Viaño
A Suitable Numerical Algorithm for the Simulation of the Butt Curl Deformation of an Aluminium Slab: P. Barral and M.T. Sánchez
An Efficient Solution Algorithm for Elastoplasticity and its First Implementation Towards Uniform h- and p- Mesh Refinements: Johanna Kienesberger and Jan Valdman
A LDG-BEM Coupling for a Class of Nonlinear Exterior Transmission Problems: Rommel Bustinza, Gabriel N. Gatica and Francisco-Javier Sayas
High Order Boundary Integral Methods for Maxwell’s Equations: Coupling of Microlocal Discretization and Fast Multipole Methods: L. Gatard, A. Bachelot and K. Mer-Nkonga
Indirect Methods with Brakhage-Werner Potentials for Helmholtz Transmission Problems: María-Luisa Rapún and Francisco-Javier Sayas
A FEM—BEM Formulation for a Time—Dependent Eddy Current Problem: S. Meddahi and V. Selgas
Mixed Boundary Element—Finite Volume Methods for Thermohydrodynamic Lubrication Problems: J. Durany, J. Pereira and F. Varas
Numerical Modelling for Leaching of Pesticides in Soils Modified by a Cationic Surfactant: M.I. Asensio, L. Ferragut, S. Monedero, M.S. Rodríguez-Cruz and M.J. Sánchez-Martín
Formulation of Mixed-Hybrid FE Model of Flow in Fractured Porous Medium: Jiřina Královcová, Jiří Maryška, Otto Severýn and Jan Šembera
Newton—Type Methods for the Mixed Finite Element Discretization of Some Degenerate Parabolic Equations: Florin A. Radu, Iuliu Sorin Pop and Peter Knabner
Domain Decomposition Methods for Wave Propagation in Heterogeneous Media: R. Glowinski, S. Lapin, J. Periaux, P.M. Jacquart and H.Q. Chen
Galbrun’s Equation Solved by a First Order Characteristics Method: Rodolfo Rodríguez and Duarte Santamarina
Open Subsystems of Conservative Systems: Alexander Figotin and Stephen P. Shipman

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DOI: 10.1007/978-3-540-34288-5

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