Numerical Mathematics and Advanced Applications

Kunisch, Karl; Of, Günther; Steinbach, Olaf

Numerical Mathematics and Advanced Applications

Edited by Karl Kunisch (), Günther Of () and Olaf Steinbach ()

in Springer Books from Springer

Date: 2008
ISBN: 978-3-540-69777-0
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Chapters in this book:

The Worst Scenario Method: A Red Thread Running Through Various Approaches to Problems with Uncertain Input Data: J. Chleboun
Boundary and Finite Element Domain Decomposition Methods: U. Langer
Discontinuous Galerkin Elements for Reissner-Mindlin Plates: L. D. Marini
Functional Type A Posteriori Error Estimates for Maxwell’s Equations: A. Hannukainen
Space–Time Adaption for Advection-Diffusion-Reaction Problems on Anisotropic Meshes: S. Micheletti and S. Perotto
A Posteriori Error Analysis for Kirchhoff Plate Elements: J. Niiranen, L. Beirão da Veiga and R. Stenberg
Adaptive Finite Element Simulation of Relaxed Models for Liquid-Solid Phase Transition: M. Stiemer
A Numerical Study of the Interaction of Blood Flow and Drug Release from Cardiovascular Stents: C. D’Angelo and P. Zunino
Numerical Modelling of Epidermal Wound Healing: E. Javierre, F. J. Vermolen, C. Vuik and S. van der Zwaag
Model of Multiple Lexicographical Programming Applied in Cervical Cancer Screening: L. Neamţiu, I. Chiorean and L. Lupşa
A Finite Element Model for Bone Ingrowth into a Prosthesis: F. J. Vermolen, E. M. van Aken, J. C. van der Linden and A. Andreykiv
Space and Time Adaptive Calculation of Transient 3D Magnetic Fields: M. Clemens, J. Lang, D. Teleaga and G. Wimmer
A Boundary Integral Formulation for Nonlocal Electrostatics: C. Fasel, S. Rjasanow and O. Steinbach
Efficient Solution of Algebraic Bernoulli Equations Using ℋ-Matrix Arithmetic: U. Baur and P. Benner
A Purely Algebraic Approach to Preconditioning Based on Hierarchical LU Factorizations: M. Bebendorf and T. Fischer
Additive Schwarz Preconditioners for Degenerate Problems with Isotropic Coefficients: S. Beuchler
Performance Analysis of Parallel Algebraic Preconditioners for Solving the RANS Equations Using Fluctuation Splitting Schemes: A. Bonfiglioli, B. Carpentieri and M. Sosonkina
On Least-Squares Approximate Inverse-Based Preconditioners: B. Carpentieri
On the Construction of Stable B-Spline Wavelet Bases: D. Černá and V. Finěk
The Performance of a Multigrid Algorithm for the Acoustic Single Layer Equation: S. Gemmrich, J. Gopalakrishnan and N. Nigam
Constraints Coefficients in hp-FEM: A. Schröder
A Boundary Element Algorithm for the Dirichlet Eigenvalue Problem of the Laplace Operator: O. Steinbach and G. Unger
On Efficient Solution of Linear Systems Arising in hp-FEM: T. Vejchodský
Coupling Two Scalar Conservation Laws via Dafermos’ Self-Similar Regularization: A. Ambroso, B. Boutin, F. Coquel, E. Godlewski and P. G. LeFloch
A Sharp Interface and Fully Conservative Scheme for Computing Nonclassical Shocks: B. Boutin, C. Chalons, F. Lagoutière and P. G. LeFloch
A Numerical Descent Method for an Inverse Problem of a Scalar Conservation Law Modelling Sedimentation: R. Bürger, A. Coronel and M. Sepúlveda
PSI Solution of Convection-Diffusion Equations with Data in L1: J. Casado-Díaz, T. Chacón Rebollo, V. Girault, M. Gómez Mármol and F. Murat
High Order Two Dimensional Numerical Schemes for the Coupling of Transport Equations and Shallow Water Equations: M. J. Castro, E. D. Fernández Nieto, A. M. Ferreiro Ferreiro, J. A. García Rodríguez and C. Parés
Well-Balanced High-Order MUSTA Schemes for Non-Conservative Hyperbolic Systems: M. J. Castro, C. Parés, A. Pardo and E. F. Toro
Local Time Stepping for Implicit-Explicit Methods on Time Varying Grids: F. Coquel, Q. -L. Nguyen, M. Postel and Q. -H. Tran
A ‘TVD-like’ Scheme for Conservation Laws with Source Terms: R. Donat Beneito and A. Martínez Gavara
Application of the WAF Method to Shallow Water Equations with Pollutant and Non-Constant Bottom: E. D. Fernández-Nieto and G. Narbona-Reina
A Third Order Method for Convection-Diffusion Equations with a Delay Term: J. Frochte
A Third Order WLSQR Scheme on Unstructured Meshes with Curvilinear Boundaries: J. Fürst
On the Choice of Parameters in Stabilization Methods for Convection–Diffusion Equations: V. John and P. Knobloch
On Path-Conservative Numerical Schemes for Hyperbolic Systems of Balance Laws: M. L. Muñoz-Ruiz and C. Parés
An Augmented DG Scheme for Porous Media Equations: T. P. Barrios and R. Bustinza
A Remark to the DGFEM for Nonlinear Convection-Diffusion Problems Applied on Nonconforming Meshes: M. Feistauer
BDF-DGFE Method for the Compressible Navier-Stokes Equations: J. Hozman and V. Dolejší
Discontinuous Galerkin Method for the Numerical Solution of Inviscid and Viscous Compressible Flow: V. Kučera
Numerical Integration in the Discontinuous Galerkin Method for Nonlinear Convection-Diffusion Problems in 3D: V. Sobotíková
Implicit-Explicit Runge-Kutta Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems: M. Vlasák and V. Dolejší
A Domain Decomposition Method Derived from the Primal Hybrid Formulation for 2nd Order Elliptic Problems: C. Bernardi, T. Chacón Rebollo and E. Chacón Vera
A Posteriori Error Analysis of Penalty Domain Decomposition Methods for Linear Elliptic Problems: C. Bernardi, T. Chacón Rebollo, E. Chacón Vera and D. Franco Coronil
BETI-DP Methods in Unbounded Domains: C. Pechstein
Domain Decomposition and Model Reduction of Systems with Local Nonlinearities: K. Sun, R. Glowinski, M. Heinkenschloss and D. C. Sorensen
An Adaptive Discontinuous Galerkin Scheme for Second Order Problems with an Interface: P. Zunino
Abstract Sensitivity Analysis for Nonlinear Equations and Applications: A. Chernov
Multiscale Analysis for Jump Processes in Finance: N. Reich
A Hybrid Numerical Scheme for Aerosol Dynamics: H. Babovsky
Numerical Study of Mixed Finite Element and Multi Point Flux Approximation of Flow in Porous Media: M. Bause and J. Hoffmann
Local Projection Stabilization for the Oseen System on Anisotropic Cartesian Meshes: M. Braack
Simulations of 3D Dynamics of Microdroplets: A Comparison of Rectangular and Cylindrical Channels: C. -H. Bruneau, T. Colin, C. Galusinski, S. Tancogne and P. Vigneaux
Incomplete Interior Penalty Galerkin Method for a Nonlinear Convection-Diffusion Equation: V. Dolejší
Numerical Simulations of Incompressible Laminar Flow for Newtonian and Non-Newtonian Fluids: R. Keslerová and K. Kozel
Numerical Solution of 2D and 3D Unsteady Viscous Flows: K. Kozel, P. Louda and J. Příhoda
Local Projection Stabilization of Finite Element Methods for Incompressible Flows: G. Lube, G. Rapin and J. Löwe
A Numerical Study of Local Projection Stabilisations Applied to Oseen Problems: G. Matthies and L. Tobiska
Involutive Completion to Avoid LBB Condition: B. Mohammadi and J. Tuomela
Numerical Computation of Unsteady Compressible Flows with Very Low Mach Numbers: P. Punčochářová, K. Kozel, J. Horáček and J. Fürst
A Mixed Hybrid Finite Element Discretization Scheme for Reactive Transport in Porous Media: F. A. Radu, M. Bause, A. Prechtel and S. Attinger
Applying Local Projection Stabilization to inf-sup Stable Elements: G. Rapin, G. Lube and J. Löwe
Calibration of Model and Discretization Parameters for Turbulent Channel Flow: X. Q. Zhang, T. Knopp and G. Lube
Numerical Solution of Transonic and Supersonic 2D and 3D Fluid–Elastic Structure Interaction Problems: J. Dobeš, J. Fürst, H. Deconinck and J. Fořt
Numerical Simulations of Flow Induced Vibrations of a Profile: R. Honzátko, J. Horáček and K. Kozel
A Semi-Implicit Algorithm Based on the Augmented Lagrangian Method for Fluid-Structure Interaction: C. M. Murea
Automated Multi-Level Substructuring for a Fluid-Solid Vibration Problem: M. Stammberger and H. Voss
On Numerical Approximation of Fluid-Structure Interaction Problems: P. Sváček
Fishways Design: An Application of the Optimal Control Theory: L. J. Alvarez-Vázquez, A. Martínez, M. E. Vázquez-Méndez and M. A. Vilar
Moving Domain by Galerkin-Level Set Strategy: Application to Shape Geodesics: L. Blanchard and J. P. Zolésio
Numerical Analysis of a Control and State Constrained Elliptic Control Problem with Piecewise Constant Control Approximations: K. Deckelnick and M. Hinze
Globalization of Nonsmooth Newton Methods for Optimal Control Problems: C. Gräser
An Inexact Trust-Region SQP Method with Applications to PDE-Constrained Optimization: M. Heinkenschloss and D. Ridzal
Semi–Monotonic Augmented Lagrangians for Optimal Control and Parameter Identification: D. Lukáš and Z. Dostál
An Optimal Control Problem for Stochastic Linear PDE’s Driven by a Gaussian White Noise: H. Manouzi and S. Hou
A Priori Error Analysis for the Finite Element Approximation of Elliptic Dirichlet Boundary Control Problems: S. May, R. Rannacher and B. Vexler
A Priori Error Analysis for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems: D. Meidner and B. Vexler
Multigrid Methods for Linear Elliptic Optimal Control Problems: M. Vallejos and A. Borzì
An Active Curve Approach for Tomographic Reconstruction of Binary Radially Symmetric Objects: I. Abraham, R. Abraham and M. Bergounioux
A Single-Pass Scheme for the Mean Curvature Motion of Convex Curves: E. Carlini
A Semi-Lagrangian Approximation of Min–Max Type for the Stationary Mean Curvature Equation: E. Carlini and R. Ferretti
Topological Derivative Based Methods for Non–lDestructive Testing: A. Carpio and M. –L. Rapún
A Characteristics Driven Fast Marching Method for the Eikonal Equation: E. Cristiani and M. Falcone
Hierarchical Model Reduction for Advection-Diffusion-Reaction Problems: A. Ern, S. Perotto and A. Veneziani
A Semi-Lagrangian Scheme for the Open Table Problem in Granular Matter Theory: M. Falcone and S. Finzi Vita
On a Variational Approximation of the Effective Hamiltonian: M. Falcone and M. Rorro
Estimation of Diffusion Coefficients in a Scalar Ginzburg-Landau Equation by Using Model Reduction: M. Kahlbacher and S. Volkwein
Reduced Order Models (POD) for Calibration Problems in Finance: E. W. Sachs and M. Schu
A Collocation Method for Quadratic Control Problems Governed by Ordinary Elliptic Differential Equations: W. Alt, N. Bräutigam and D. Karolewski
A Road Traffic Model with Overtaking: Continuation of the Oscillatory Patterns: L. Buřič and V. Janovský
A Second Order Scheme for Solving Optimization-Constrained Differential Equations with Discontinuities: A. Caboussat and C. Landry
Optimal Load Changes for a Molten Carbonate Fuel Cell Model: K. Chudej, K. Sternberg and H. J. Pesch
Differential DAE Index for Reactive Euler Equations: A. Hmaidi and P. Rentrop
Application of a First Order Asymptotic Method for Modeling Singularly Perturbed BVPs: N. Parumasur, P. Singh and V. Singh
Newton-Like Solver for Elastoplastic Problems with Hardening and its Local Super-Linear Convergence: P. G. Gruber and J. Valdman
On a Fictitious Domain Method for Unilateral Problems: J. Haslinger, T. Kozubek and R. Kučera
Bifurcations in Contact Problems with Local Coulomb Friction: J. Haslinger, R. Kučera and O. Vlach
Point Load on a Shell: A. H. Niemi, H. Hakula and J. Pitkäranta

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DOI: 10.1007/978-3-540-69777-0

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