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Numerical Mathematics and Advanced Applications

Edited by Miloslav Feistauer (), Vít Dolejší (), Petr Knobloch () and Karel Najzar ()

in Springer Books from Springer

Date: 2004
ISBN: 978-3-642-18775-9
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Chapters in this book:

Numerical Analysis of Finite Element Methods for Eddy Current Problems. Applications to Electrode Simulation
Alfredo Bermúdez, Rodolfo Rodríguez and Pilar Salgado
Space Decomposition Preconditioners and Parallel Solvers
Radim Blaheta
Boundary Conditions for Hyperbolic Equations or Systems
Thierry Gallouët
Fictitious Domain Methods in Shape Optimization with Applications in Free-Boundary Problems
Jaroslav Haslinger, Tomáš Kozubek, Karl Kunisch and Günter Peichl
Domain Decomposition Method for a Class of Non-Linear Elliptic Equation with Arbitrary Growth Nonlinearity and Data Measure
Nour Eddine Alaa and Jean Rodolphe Roche
Variants of Relaxation Schemes and the Lattice Boltzmann Model Relaxation Systems
Mapundi Kondwani Banda
A Time Semi-Implicit Relaxation Scheme for Two-Phase Flows in Pipelines
Michaël Baudin, Frédéric Coquel and Quang-Huy Tran
Computational Study of Field Scale BTEX Transport and Biodegradation in the Subsurface
Markus Bause
A Two-Level Stabilization Scheme for the Navier-Stokes Equations
Roland Becker and Malte Braack
A Posteriori Error Estimates for Parameter Identification
Roland Becker and Boris Vexler
On a Phase-Field Model with Advection
Michal Beneš
Fast Evaluation of Eddy Current Integral Operators
Steffen Börm
Adaptive Computation of Reactive Flows with Local Mesh Refinement and Model Adaptation
Malte Braack and Alexandre Ern
An Alternative to the Least-Squares Mixed Finite Element Method for Elliptic Problems
Jan Brandts and Yanping Chen
Limit Analysis Method in Electrostatics
Igor A. Brigadnov
Finite Element Mesh Adjusted to Singularities Applied to Axisymmetric and Plane Flow
Pavel Burda, Jaroslav Novotný, Bedřich Sousedík and Jakub Šístek
The Edge Stabilization Method for Finite Elements in CFD
Erik Burman and Peter Hansbo
Analysis and Computation of Dendritic Growth in Binary Alloys Using a Phase-Field Model
Eric Burman, Marco Picasso and Jacques Rappaz
Discontinuous Galerkin Methods for Timoshenko Beams
Fatila Celiker, Bernardo Cockburn, Sukru Güzey, Ramdev Kanapady, Sew-Chew Soon, Henrik K. Stolarski and Kummar Tamma
Numerical Algorithms for Solving Elliptic-Parabolic Problems
Raimondas Čiegis
Stochastic Relaxation of Variational Integrals with Non-attainable Infima
Dennis D. Cox, Petr Klouček, Daniel R. Reynolds and Pavel Šolín
A Pressure-Weighted Upwind Scheme in Unstructured Finite-Element Grids
Masoud Darbandi, Kiumars Mazaheri-Body and Shidvash Vakilipour
Discontinuous Galerkin Finite Element Method for the Numerical Solution of Viscous Compressible Flows
Vít Dolejší
A Finite Volume Scheme on General Meshes for the Steady Navier-Stokes Equations in Two Space Dimensions
Robert Eymard and Raphaĺe Herbin
Existence and Uniqueness of a Weak Solution to a Stratigraphic Model
Robert Eymard, Thierry Gallouët, Véronique Gervais and Roland Masson
Combined Nonconforming/Mixed-hybrid Finite Element-Finite Volume Scheme for Degenerate Parabolic Problems
Robert Eymard, Danielle Hilhorst and Martin Vohralík
Discrete Maximum Principle for Galerkin Finite Element Solutions to Parabolic Problems on Rectangular Meshes
István Faragó, Róbert Horváth and Sergey Korotov
Cubature-Differences Method for Singular Integro-differential Equations
Alexander I. Fedotov
Nonconforming Discretization Techniques for Overlapping Domain Decompositions
Bernd Flemisch, Michael Mair and Barbara Wohlmuth
On the Use of Implicit Updates in Minimum Curvature Multi-step Quasi-Newton Methods
John A. Ford and Issam A. Moghrabi
A Boundary Movement Identification Method for a Parabolic Partial Differential Equation
Tom P. Fredman
On Computational Properties of a Posteriori Error Estimates Based upon the Method of Duality Error Majorants
Maxim Frolov, Pekka Neittaanmäki and Sergey Repin
Efficient Algorithm for Local-Bound-Preserving Remapping in ALE Methods
Rao Garimella, Milan Kuchařík and Mikhail Shashkov
Mimetic Finite Difference Methods for Diffusion Equations on Unstructured Triangular Grid
Victor Ganzha, Richard Liska, Mikhail Shashkov and Christoph Zenger
On Computational Glaciology: FE-Simulation of Ice Sheet Dynamics
Günter Gödert and Franz-Theo Suttmeier
Nonreflecting Boundary Conditions for Multiple Domain Wave Scattering in Unbounded Media
Marcus J. Grote, Christoph Kirsch and Patrick Meury
On the Choice of the Regularization Parameter in the Case of the Approximately Given Noise Level of Data
Uno Hämarik and Toomas Raus
Adaptive Discontinuous Galerkin Finite Element Methods with Interior Penalty for the Compressible Navier-Stokes Equations
Ralf Hartmann and Paul Houston
On a Novel Technique for Parallel Unstructured Mesh Generation in 3D
Jan Haškovec and Pavel Šolín
Adaptive Finite Element Methods for Turbulent Flow
Johan Hoffman and Claes Johnson
Numerical Solution of a Nonlinear Evolution Equation Describing Amorphous Surface Growth of Thin Films
Ronald H.W. Hoppe and Eva Nash
Constrained Mountain Pass Algorithm for the Numerical Solution of Semilinear Elliptic Problems
Jiří Horák
Optimal Shape Design of Diesel Intake Ports with Evolutionary Algorithm
András Horváth and Zoltán Horváth
Numerical Simulation of Compressible Fluids with Moving Boundaries: An Effective Method with Applications
Zoltán Horváth and András Horváth
Discontinuous Galerkin Methods for the Time-Harmonic Maxwell Equations
Paul Houston, Ilaria Perugia, Anna Schneebeli and Dominik Schötzau
Mixed hp-Discontinuous Galerkin Finite Element Methods for the Stokes Problem in Polygons
Paul Houston, Dominik Schötzau and Thomas P. Wihler
A Postprocessing of Hopf Bifurcation Points
Dáša Janovská and Vladimír Janovský
Givens’ Reduction of Quaternion-Valued Matrices to Upper Hessenberg Form
Drahoslava Janovská and Gerhard Opfer
Model of Compressible Flow and Transport in a Time-Dependent Domain
Pavel Jiránek, Jiří Maryška and Jan Šembera
Numerical Study of Convection of Multi-Component Fluid in Porous Medium
Olga Kantur and Vyacheslav Tsybulin
Multi-yield Elastoplastic Continuum-Modeling and Computations
Johanna Kienesberger and Jan Valdman
Celebrating Fifty Years of David M. Young’s Successive Overrelaxation Method
David R. Kincaid
On the Relational Database Style Parallel Numerical Programming
Béla Kiss and Anna Krebsz
A Dynamical System Describing Evolution of the Implicit Surfaces in Incompressible Viscous Liquids
Petr Klouček, Michel V. Romerio and Jennifer L. Wightman
Discrete Maximum Principles in Finite Element Modelling
Sergey Korotov and Michal Křížek
A Posteriori Error Estimation in Terms of Linear Functionals for Boundary Value Problems of Elliptic Type
Sergey Korotov, Pekka Neittaanmäki and Sergey Repin
Numerical Solution of Flow in Backward Facing Step
Karel Kozel, Petr Louda and Petr Sváček
Periodicity Properties of Solutions to a Hysteresis Model in Micromagnetics
Martin Kružík
Mixed Finite Element Method on Polygonal and Polyhedral Meshes
Yuri Kuznetsov and Sergey Repin
Semi-discrete Schemes for Hamilton-Jacobi Equations on Unstructured Grids
Doron Levy and Suhas Nayak
Numerical Simulation of Dislocation Dynamics
Vojtěch Minárik, Jan Kratochvíl, Karol Mikula and Michal Beneš
Implicit FEM-FCT algorithm for compressible flows
Matthias Möller, Dmitri Kuzmin and Stefan Turek
A Singular Limit Method for the Stefan Problems
Hideki Murakawa and Tatsuyuki Nakaki
Higher-Order Split-Step Schemes for the Generalized Nonlinear Schrödinger Equation
Gulcin M. Muslu and Husnu A. Erbay
Numerical Methods and Simulation Techniques for Flow with Shear and Pressure Dependent Viscosity
Abderrahim Ouazzi and Stefan Turek
Piecewise Polynomial Approximations for Linear Volterra Integro-Differential Equations with Nonsmooth Kernels
Arvet Pedas
On a Discontinuous Galerkin Method for Radiation-Diffusion Problems
Ilaria Perugia, Dominik Schötzau and James Warsa
Modeling of Multi-Phase Flows with a Level-Set Method
Sander P. van der Pijl, A. Segal and C. Vuik
Numerical Modeling of Bypass Flow
Vladimir Prokop and Karel Kozel
A Posteriori Estimation of Dimension Reduction Errors
Sergey Repin, Stefan Sauter and Anton Smolianski
Analysis of a Multi-Numerics/Multi-Physics Problem
Béatrice Rivière
The Discontinuous Galerkin Method for Singularly Perturbed Problems
Hans-Görg Roos and Helena Zarin
A Finite-Volume Mass- and Vorticity-Conserving Shallow-Water Model using Penta-/Hexagonal Grids
William Sawyer and Rolf Jeltsch
Application of Parallel Computing Techniques for Problems of Degenerated Diffusion
Milan Šenkýř, Jiří Mikyška and Michal Beneš
The Finite Element Analysis of an Elliptic Problem with a Nonlinear Newton Boundary Condition
Veronika Sobotíková
Automatic Goal-Oriented hp-Adaptivity Without Error Estimates
Pavel Šolín and Leszek Demkowicz
A Compression Method for the Helmholtz Equation
Mirjam Stolper and Sergej Rjasanow
Application of a Stabilized FEM to Problems of Aeroelasticity
Petr Sváček and Miloslav Feistauer
A Numerical Approach to the Dynamical Behavior of Initiated Pulses in Some Nonlinear Diffusion Equations
Kenji Tomoeda
Fully Two-dimensional HLLEC Riemann Solver and Associated Difference Schemes
Pavel Váchal, Richard Liska and Burton Wendroff
Deflation Accelerated Parallel Preconditioned Conjugate Gradient Method in Finite Element Problems
Fred J. Vermolen, Kees Vuik and Guus Segal
Advantages of Binomial Checkpointing for Memory-reduced Adjoint Calculations
Andrea Walther and Andreas Griewank
An Efficient Multigrid FEM Solution Technique for Incompressible Flow with Moving Rigid Bodies
Decheng Wan, Stefan Turek and Liudmila S. Rivkind
Higher-Order FEM for a System of Nonlinear Parabolic PDE’s in 2D with A-Posteriori Error Estimates
Martin Zítka, Karel Segeth and Pavel Šolín

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DOI: 10.1007/978-3-642-18775-9

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