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

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 Schrödinger 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