Ebook: Numerical Mathematics and Advanced Applications: Proceedings of ENUMATH 2003 the 5th European Conference on Numerical Mathematics and Advanced Applications Prague, August 2003

These proceedings collect the major part of the lectures given at ENU­ MATH2003, the European Conference on Numerical Mathematics and Ad­ vanced Applications, held in Prague, Czech Republic, from 18 August to 22 August, 2003. The importance of numerical and computational mathematics and sci­ entific computing is permanently growing. There is an increasing number of different research areas, where numerical simulation is necessary. Let us men­ tion fluid dynamics, continuum mechanics, electromagnetism, phase transi­ tion, cosmology, medicine, economics, finance, etc. The success of applications of numerical methods is conditioned by changing its basic instruments and looking for new appropriate techniques adapted to new problems as well as new computer architectures. The ENUMATH conferences were established in order to provide a fo­ rum for discussion of current topics of numerical mathematics. They seek to convene leading experts and young scientists with special emphasis on con­ tributions from Europe. Recent results and new trends are discussed in the analysis of numerical algorithms as well as in their applications to challenging scientific and industrial problems. The first ENUMATH conference was organized in Paris in 1995, then the series continued by the conferences in Heidelberg 1997, Jyvaskyla 1999 and Ischia Porto 2001. It was a great pleasure and honour for the Czech numerical community that it was decided at Ischia Porto to organize the ENUMATH2003 in Prague. It was the first time when this conference crossed the former Iron Courtain and was organized in a postsocialist country.

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Content:
Front Matter....Pages i-xiii
Front Matter....Pages 1-1
Numerical Analysis of Finite Element Methods for Eddy Current Problems. Applications to Electrode Simulation....Pages 3-19
Space Decomposition Preconditioners and Parallel Solvers....Pages 20-38
Boundary Conditions for Hyperbolic Equations or Systems....Pages 39-55
Fictitious Domain Methods in Shape Optimization with Applications in Free-Boundary Problems....Pages 56-75
Front Matter....Pages 77-77
Domain Decomposition Method for a Class of Non-Linear Elliptic Equation with Arbitrary Growth Nonlinearity and Data Measure....Pages 79-88
Variants of Relaxation Schemes and the Lattice Boltzmann Model Relaxation Systems....Pages 89-101
A Time Semi-Implicit Relaxation Scheme for Two-Phase Flows in Pipelines....Pages 102-111
Computational Study of Field Scale BTEX Transport and Biodegradation in the Subsurface....Pages 112-122
A Two-Level Stabilization Scheme for the Navier-Stokes Equations....Pages 123-130
A Posteriori Error Estimates for Parameter Identification....Pages 131-140
On a Phase-Field Model with Advection....Pages 141-150
Fast Evaluation of Eddy Current Integral Operators....Pages 151-158
Adaptive Computation of Reactive Flows with Local Mesh Refinement and Model Adaptation....Pages 159-168
An Alternative to the Least-Squares Mixed Finite Element Method for Elliptic Problems....Pages 169-175
Limit Analysis Method in Electrostatics....Pages 176-185
Finite Element Mesh Adjusted to Singularities Applied to Axisymmetric and Plane Flow....Pages 186-195
The Edge Stabilization Method for Finite Elements in CFD....Pages 196-203
Analysis and Computation of Dendritic Growth in Binary Alloys Using a Phase-Field Model....Pages 204-220
Discontinuous Galerkin Methods for Timoshenko Beams....Pages 221-231
Numerical Algorithms for Solving Elliptic-Parabolic Problems....Pages 232-238
Front Matter....Pages 77-77
Stochastic Relaxation of Variational Integrals with Non-attainable Infima....Pages 239-249
A Pressure-Weighted Upwind Scheme in Unstructured Finite-Element Grids....Pages 250-259
Discontinuous Galerkin Finite Element Method for the Numerical Solution of Viscous Compressible Flows....Pages 260-268
A Finite Volume Scheme on General Meshes for the Steady Navier-Stokes Equations in Two Space Dimensions....Pages 269-277
Existence and Uniqueness of a Weak Solution to a Stratigraphic Model....Pages 278-287
Combined Nonconforming/Mixed-hybrid Finite Element-Finite Volume Scheme for Degenerate Parabolic Problems....Pages 288-297
Discrete Maximum Principle for Galerkin Finite Element Solutions to Parabolic Problems on Rectangular Meshes....Pages 298-307
Cubature-Differences Method for Singular Integro-differential Equations....Pages 308-315
Nonconforming Discretization Techniques for Overlapping Domain Decompositions....Pages 316-325
On the Use of Implicit Updates in Minimum Curvature Multi-step Quasi-Newton Methods....Pages 326-335
A Boundary Movement Identification Method for a Parabolic Partial Differential Equation....Pages 336-345
On Computational Properties of a Posteriori Error Estimates Based upon the Method of Duality Error Majorants....Pages 346-357
Efficient Algorithm for Local-Bound-Preserving Remapping in ALE Methods....Pages 358-367
Mimetic Finite Difference Methods for Diffusion Equations on Unstructured Triangular Grid....Pages 368-377
On Computational Glaciology: FE-Simulation of Ice Sheet Dynamics....Pages 378-390
Nonreflecting Boundary Conditions for Multiple Domain Wave Scattering in Unbounded Media....Pages 391-399
On the Choice of the Regularization Parameter in the Case of the Approximately Given Noise Level of Data....Pages 400-409
Adaptive Discontinuous Galerkin Finite Element Methods with Interior Penalty for the Compressible Navier-Stokes Equations....Pages 410-419
On a Novel Technique for Parallel Unstructured Mesh Generation in 3D....Pages 420-429
Adaptive Finite Element Methods for Turbulent Flow....Pages 430-439
Front Matter....Pages 77-77
Numerical Solution of a Nonlinear Evolution Equation Describing Amorphous Surface Growth of Thin Films....Pages 440-448
Constrained Mountain Pass Algorithm for the Numerical Solution of Semilinear Elliptic Problems....Pages 449-458
Optimal Shape Design of Diesel Intake Ports with Evolutionary Algorithm....Pages 459-470
Numerical Simulation of Compressible Fluids with Moving Boundaries: An Effective Method with Applications....Pages 471-482
Discontinuous Galerkin Methods for the Time-Harmonic Maxwell Equations....Pages 483-492
Mixed hp-Discontinuous Galerkin Finite Element Methods for the Stokes Problem in Polygons....Pages 493-501
A Postprocessing of Hopf Bifurcation Points....Pages 502-509
Givens’ Reduction of Quaternion-Valued Matrices to Upper Hessenberg Form....Pages 510-520
Model of Compressible Flow and Transport in a Time-Dependent Domain....Pages 521-530
Numerical Study of Convection of Multi-Component Fluid in Porous Medium....Pages 531-538
Multi-yield Elastoplastic Continuum-Modeling and Computations....Pages 539-548
Celebrating Fifty Years of David M. Young’s Successive Overrelaxation Method....Pages 549-558
On the Relational Database Style Parallel Numerical Programming....Pages 559-568
A Dynamical System Describing Evolution of the Implicit Surfaces in Incompressible Viscous Liquids....Pages 569-579
Discrete Maximum Principles in Finite Element Modelling....Pages 580-586
A Posteriori Error Estimation in Terms of Linear Functionals for Boundary Value Problems of Elliptic Type....Pages 587-595
Numerical Solution of Flow in Backward Facing Step....Pages 596-604
Periodicity Properties of Solutions to a Hysteresis Model in Micromagnetics....Pages 605-614
Mixed Finite Element Method on Polygonal and Polyhedral Meshes....Pages 615-622
Semi-discrete Schemes for Hamilton-Jacobi Equations on Unstructured Grids....Pages 623-630
Front Matter....Pages 77-77
Numerical Simulation of Dislocation Dynamics....Pages 631-640
Implicit FEM-FCT algorithm for compressible flows....Pages 641-650
A Singular Limit Method for the Stefan Problems....Pages 651-657
Higher-Order Split-Step Schemes for the Generalized Nonlinear Schr?dinger Equation....Pages 658-667
Numerical Methods and Simulation Techniques for Flow with Shear and Pressure Dependent Viscosity....Pages 668-676
Piecewise Polynomial Approximations for Linear Volterra Integro-Differential Equations with Nonsmooth Kernels....Pages 677-686
On a Discontinuous Galerkin Method for Radiation-Diffusion Problems....Pages 687-697
Modeling of Multi-Phase Flows with a Level-Set Method....Pages 698-707
Numerical Modeling of Bypass Flow....Pages 708-715
A Posteriori Estimation of Dimension Reduction Errors....Pages 716-725
Analysis of a Multi-Numerics/Multi-Physics Problem....Pages 726-735
The Discontinuous Galerkin Method for Singularly Perturbed Problems....Pages 736-745
A Finite-Volume Mass- and Vorticity-Conserving Shallow-Water Model using Penta-/Hexagonal Grids....Pages 746-755
Application of Parallel Computing Techniques for Problems of Degenerated Diffusion....Pages 756-765
The Finite Element Analysis of an Elliptic Problem with a Nonlinear Newton Boundary Condition....Pages 766-774
Automatic Goal-Oriented hp-Adaptivity Without Error Estimates....Pages 775-785
A Compression Method for the Helmholtz Equation....Pages 786-795
Application of a Stabilized FEM to Problems of Aeroelasticity....Pages 796-805
A Numerical Approach to the Dynamical Behavior of Initiated Pulses in Some Nonlinear Diffusion Equations....Pages 806-814
Fully Two-dimensional HLLEC Riemann Solver and Associated Difference Schemes....Pages 815-824
Front Matter....Pages 77-77
Deflation Accelerated Parallel Preconditioned Conjugate Gradient Method in Finite Element Problems....Pages 825-833
Advantages of Binomial Checkpointing for Memory-reduced Adjoint Calculations....Pages 834-843
An Efficient Multigrid FEM Solution Technique for Incompressible Flow with Moving Rigid Bodies....Pages 844-853
Higher-Order FEM for a System of Nonlinear Parabolic PDE’s in 2D with A-Posteriori Error Estimates....Pages 854-863

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Content:
Front Matter....Pages i-xiii
Front Matter....Pages 1-1
Numerical Analysis of Finite Element Methods for Eddy Current Problems. Applications to Electrode Simulation....Pages 3-19
Space Decomposition Preconditioners and Parallel Solvers....Pages 20-38
Boundary Conditions for Hyperbolic Equations or Systems....Pages 39-55
Fictitious Domain Methods in Shape Optimization with Applications in Free-Boundary Problems....Pages 56-75
Front Matter....Pages 77-77
Domain Decomposition Method for a Class of Non-Linear Elliptic Equation with Arbitrary Growth Nonlinearity and Data Measure....Pages 79-88
Variants of Relaxation Schemes and the Lattice Boltzmann Model Relaxation Systems....Pages 89-101
A Time Semi-Implicit Relaxation Scheme for Two-Phase Flows in Pipelines....Pages 102-111
Computational Study of Field Scale BTEX Transport and Biodegradation in the Subsurface....Pages 112-122
A Two-Level Stabilization Scheme for the Navier-Stokes Equations....Pages 123-130
A Posteriori Error Estimates for Parameter Identification....Pages 131-140
On a Phase-Field Model with Advection....Pages 141-150
Fast Evaluation of Eddy Current Integral Operators....Pages 151-158
Adaptive Computation of Reactive Flows with Local Mesh Refinement and Model Adaptation....Pages 159-168
An Alternative to the Least-Squares Mixed Finite Element Method for Elliptic Problems....Pages 169-175
Limit Analysis Method in Electrostatics....Pages 176-185
Finite Element Mesh Adjusted to Singularities Applied to Axisymmetric and Plane Flow....Pages 186-195
The Edge Stabilization Method for Finite Elements in CFD....Pages 196-203
Analysis and Computation of Dendritic Growth in Binary Alloys Using a Phase-Field Model....Pages 204-220
Discontinuous Galerkin Methods for Timoshenko Beams....Pages 221-231
Numerical Algorithms for Solving Elliptic-Parabolic Problems....Pages 232-238
Front Matter....Pages 77-77
Stochastic Relaxation of Variational Integrals with Non-attainable Infima....Pages 239-249
A Pressure-Weighted Upwind Scheme in Unstructured Finite-Element Grids....Pages 250-259
Discontinuous Galerkin Finite Element Method for the Numerical Solution of Viscous Compressible Flows....Pages 260-268
A Finite Volume Scheme on General Meshes for the Steady Navier-Stokes Equations in Two Space Dimensions....Pages 269-277
Existence and Uniqueness of a Weak Solution to a Stratigraphic Model....Pages 278-287
Combined Nonconforming/Mixed-hybrid Finite Element-Finite Volume Scheme for Degenerate Parabolic Problems....Pages 288-297
Discrete Maximum Principle for Galerkin Finite Element Solutions to Parabolic Problems on Rectangular Meshes....Pages 298-307
Cubature-Differences Method for Singular Integro-differential Equations....Pages 308-315
Nonconforming Discretization Techniques for Overlapping Domain Decompositions....Pages 316-325
On the Use of Implicit Updates in Minimum Curvature Multi-step Quasi-Newton Methods....Pages 326-335
A Boundary Movement Identification Method for a Parabolic Partial Differential Equation....Pages 336-345
On Computational Properties of a Posteriori Error Estimates Based upon the Method of Duality Error Majorants....Pages 346-357
Efficient Algorithm for Local-Bound-Preserving Remapping in ALE Methods....Pages 358-367
Mimetic Finite Difference Methods for Diffusion Equations on Unstructured Triangular Grid....Pages 368-377
On Computational Glaciology: FE-Simulation of Ice Sheet Dynamics....Pages 378-390
Nonreflecting Boundary Conditions for Multiple Domain Wave Scattering in Unbounded Media....Pages 391-399
On the Choice of the Regularization Parameter in the Case of the Approximately Given Noise Level of Data....Pages 400-409
Adaptive Discontinuous Galerkin Finite Element Methods with Interior Penalty for the Compressible Navier-Stokes Equations....Pages 410-419
On a Novel Technique for Parallel Unstructured Mesh Generation in 3D....Pages 420-429
Adaptive Finite Element Methods for Turbulent Flow....Pages 430-439
Front Matter....Pages 77-77
Numerical Solution of a Nonlinear Evolution Equation Describing Amorphous Surface Growth of Thin Films....Pages 440-448
Constrained Mountain Pass Algorithm for the Numerical Solution of Semilinear Elliptic Problems....Pages 449-458
Optimal Shape Design of Diesel Intake Ports with Evolutionary Algorithm....Pages 459-470
Numerical Simulation of Compressible Fluids with Moving Boundaries: An Effective Method with Applications....Pages 471-482
Discontinuous Galerkin Methods for the Time-Harmonic Maxwell Equations....Pages 483-492
Mixed hp-Discontinuous Galerkin Finite Element Methods for the Stokes Problem in Polygons....Pages 493-501
A Postprocessing of Hopf Bifurcation Points....Pages 502-509
Givens’ Reduction of Quaternion-Valued Matrices to Upper Hessenberg Form....Pages 510-520
Model of Compressible Flow and Transport in a Time-Dependent Domain....Pages 521-530
Numerical Study of Convection of Multi-Component Fluid in Porous Medium....Pages 531-538
Multi-yield Elastoplastic Continuum-Modeling and Computations....Pages 539-548
Celebrating Fifty Years of David M. Young’s Successive Overrelaxation Method....Pages 549-558
On the Relational Database Style Parallel Numerical Programming....Pages 559-568
A Dynamical System Describing Evolution of the Implicit Surfaces in Incompressible Viscous Liquids....Pages 569-579
Discrete Maximum Principles in Finite Element Modelling....Pages 580-586
A Posteriori Error Estimation in Terms of Linear Functionals for Boundary Value Problems of Elliptic Type....Pages 587-595
Numerical Solution of Flow in Backward Facing Step....Pages 596-604
Periodicity Properties of Solutions to a Hysteresis Model in Micromagnetics....Pages 605-614
Mixed Finite Element Method on Polygonal and Polyhedral Meshes....Pages 615-622
Semi-discrete Schemes for Hamilton-Jacobi Equations on Unstructured Grids....Pages 623-630
Front Matter....Pages 77-77
Numerical Simulation of Dislocation Dynamics....Pages 631-640
Implicit FEM-FCT algorithm for compressible flows....Pages 641-650
A Singular Limit Method for the Stefan Problems....Pages 651-657
Higher-Order Split-Step Schemes for the Generalized Nonlinear Schr?dinger Equation....Pages 658-667
Numerical Methods and Simulation Techniques for Flow with Shear and Pressure Dependent Viscosity....Pages 668-676
Piecewise Polynomial Approximations for Linear Volterra Integro-Differential Equations with Nonsmooth Kernels....Pages 677-686
On a Discontinuous Galerkin Method for Radiation-Diffusion Problems....Pages 687-697
Modeling of Multi-Phase Flows with a Level-Set Method....Pages 698-707
Numerical Modeling of Bypass Flow....Pages 708-715
A Posteriori Estimation of Dimension Reduction Errors....Pages 716-725
Analysis of a Multi-Numerics/Multi-Physics Problem....Pages 726-735
The Discontinuous Galerkin Method for Singularly Perturbed Problems....Pages 736-745
A Finite-Volume Mass- and Vorticity-Conserving Shallow-Water Model using Penta-/Hexagonal Grids....Pages 746-755
Application of Parallel Computing Techniques for Problems of Degenerated Diffusion....Pages 756-765
The Finite Element Analysis of an Elliptic Problem with a Nonlinear Newton Boundary Condition....Pages 766-774
Automatic Goal-Oriented hp-Adaptivity Without Error Estimates....Pages 775-785
A Compression Method for the Helmholtz Equation....Pages 786-795
Application of a Stabilized FEM to Problems of Aeroelasticity....Pages 796-805
A Numerical Approach to the Dynamical Behavior of Initiated Pulses in Some Nonlinear Diffusion Equations....Pages 806-814
Fully Two-dimensional HLLEC Riemann Solver and Associated Difference Schemes....Pages 815-824
Front Matter....Pages 77-77
Deflation Accelerated Parallel Preconditioned Conjugate Gradient Method in Finite Element Problems....Pages 825-833
Advantages of Binomial Checkpointing for Memory-reduced Adjoint Calculations....Pages 834-843
An Efficient Multigrid FEM Solution Technique for Incompressible Flow with Moving Rigid Bodies....Pages 844-853
Higher-Order FEM for a System of Nonlinear Parabolic PDE’s in 2D with A-Posteriori Error Estimates....Pages 854-863
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