Numerical Mathematics and Advanced Applications: Proceedings of ENUMATH 2001 the 4th European Conference on Numerical Mathematics and Advanced Applications Ischia, July 2001

Front Matter....Pages I-XXIV
Front Matter....Pages 1-1
Analysis of a domain decomposition method for the coupling of Stokes and Darcy equations....Pages 3-20
Residual-free bubbles for a singular perturbation equation....Pages 21-34
High-order IMEX-RK finite volume methods for multidimensional hyperbolic systems....Pages 35-44
High-order central WENO schemes for 1D Hamilton-Jacobi equations....Pages 45-54
Asymptotic analysis of coupled problems for compressible flows....Pages 55-64
On the discontinuous Galerkin method for the numerical solution of compressible high-speed flow....Pages 65-83
Comparison of two conservative schemes for hyperbolic interface problems....Pages 85-93
Adaptive numerical flow simulation....Pages 95-102
Flood modelling using mixed-hybrid finite elements....Pages 103-109
High-order relaxation methods for incompressible Navier-Stokes equations....Pages 111-121
New nonconforming finite elements for solving the incompressible Navier-Stokes equations....Pages 123-132
Explicit and implicit high-resolution finite element schemes based on the flux-corrected-transport algorithm....Pages 133-143
Genuinely multidimensional evolution Galerkin schemes for the shallow water equations....Pages 145-154
Mixed-hybrid FEM discrete fracture network model of the fracture flow....Pages 155-164
Numerical evaluation of FEM with application to the 1D advection-diffusion problem....Pages 165-172
Numerical simulation of interfacial flows....Pages 173-178
A family of finite difference schemes for the convection-diffusion equation in two dimensions....Pages 179-188
An unstructured staggered scheme for the Navier—Stokes equations....Pages 189-197
Front Matter....Pages 199-199
Adaptive domain decomposition techniques in electromagnetic field computation and electrothermomechanical coupling problems....Pages 201-218
Computation of Maxwell eigenvalues on curvilinear domains using hp -version Nédélec elements....Pages 219-231
Front Matter....Pages 199-199
FE solution of a 3D-thermoelectrical model for metallurgical electrodes....Pages 233-242
On the time-harmonic Maxwell equations in general domains....Pages 243-253
FI 2 TD schemes for magnetic field simulations: new formulations and algorithmic improvements....Pages 255-264
A boundary integral formulation of antenna problems suitable for nodal-based wavelet approximations....Pages 265-271
Weighted regularization of Maxwell equations: computations in curvilinear polygons....Pages 273-280
Perfectly matched layers in transmission lines....Pages 281-290
The computational modelling of micromagnetic fine structures in uniaxial ferromagnets using the nonconforming domain decomposition method....Pages 291-300
Front Matter....Pages 301-301
Towards the convergence of 3D and shell finite elements?....Pages 303-316
A shell model allowing folds....Pages 317-326
A Signorini frictionless contact problem for viscoelastic materials with long-term memory....Pages 327-336
Numerical analysis of a contact problem for elastic-visco-plastic materials with damage....Pages 337-346
PSRI schemes for shells: a benchmark study....Pages 347-356
Propagation of singularities on thin shells with hyperbolic regions....Pages 357-363
An analysis of asymptotic consistency error in a parameter-dependent model problem....Pages 365-370
Homogenized elasticity solvers for biomorphic microcellular ceramics....Pages 371-380
Energy estimates for shell problems....Pages 381-388
Front Matter....Pages 389-389
Functional approximation and estimation for latent variable systems....Pages 391-408
The boundary value formulation of the Asian call option....Pages 409-418
WENO and blended BDF discretizations for option pricing problems....Pages 419-428
A nonlinear PDE in mathematical finance....Pages 429-433
Front Matter....Pages 435-435
An adaptive numerical method for the Vlasov equation based on a multiresolution analysis....Pages 437-446
A brief review of numerical methods for collision operators....Pages 447-457
Numerical methods for the Vlasov equation....Pages 459-468
On the fast evaluation of kinetic equations for driven granular flows....Pages 469-479
Front Matter....Pages 481-481
Linear co-volume scheme for anisotropic curvature driven motions....Pages 483-493
Consistency of a large time-step scheme for mean curvature motion....Pages 495-502
A scheme for the shape-from-shading model with “black shadows”....Pages 503-512
A Cahn-Hilliard equation with non-homogeneous mobility and its application to image processing....Pages 513-521
Front Matter....Pages 523-523
Inverse problem for the 3D equation of radiative transfer....Pages 525-533
Numerical analysis of a coupled radiative-conductive heat transfer problem....Pages 535-544
Hybrid FEM/FDM method for an inverse scattering problem....Pages 545-556
The discrete maximum principle for stabilized finite element methods....Pages 557-566
Mixed hybrid model of flow in combustion engines....Pages 567-574
A subgrid projection method for relaxation of non-attainable differential inclusions....Pages 575-584
Some remarks on fixed point and Newton techniques for solving the S 2 approximation of transient radiative transfer....Pages 585-591
Numerical results and error estimates for the finite element solution of problems with nonlinear boundary condition on nonpolygonal domains....Pages 593-602
Front Matter....Pages 603-603
Multiscale adaptive processing for evolution equations....Pages 605-629
Sobolev regularity estimation for hp -adaptive finite element methods....Pages 631-656
Robustness in a posteriori error estimates for the Oseen equations with general boundary conditions....Pages 657-668
A posteriori estimates for FE-solutions of variational inequalities....Pages 669-680
Front Matter....Pages 603-603
Adaptive mesh refinement based on a posteriori error estimates for Stokes flow in a 2D problem....Pages 681-690
Explicit error in a finite element method....Pages 691-699
An adaptive p -wavelet method in a domain decomposition framework....Pages 701-712
Adaptive FEM for eigenvalue problems....Pages 713-722
A posteriori error estimators for a model parameter estimation problem....Pages 723-730
An anisotropic recovery-based a posteriori error estimator....Pages 731-741
A wavelet-based adaptive scheme for the solution of nonlinear equations....Pages 743-752
Front Matter....Pages 753-753
LDG methods for Stokes flow problems....Pages 755-764
A p 2 -continuous, p 1 -discontinuous finite element method for the Mindlin-Reissner plate model....Pages 765-774
Goal-oriented a posteriori error estimation for compressible fluid flows....Pages 775-784
 hp -DGFEM for Maxwell’s equations....Pages 785-794
Multilevel preconditioners for the interior penalty method....Pages 795-804
A survey of DG methods for elliptic problems....Pages 805-814
Front Matter....Pages 815-815
The Chimera method for a model problem....Pages 817-825
Virtual control for fourth-order problems and for heterogeneous fourth-order second-order coupling....Pages 827-836
Nitsche-type finite element method for elliptic problems with singularities....Pages 837-845
Mortar element coupling between global scalar and local vector potentials to solve eddy current problems....Pages 847-865
A mosaic preconditioner for a dual Schur complement....Pages 867-877
Front Matter....Pages 879-879
A computational algorithm for Rjabov’s method for real inversion of Laplace transforms....Pages 881-890
A high-order BVM approach to computation of embedded eigenvalues in Sturm-Liouville problems....Pages 891-898
Front Matter....Pages 879-879
Numerical solution of boundary value problems with deviated arguments....Pages 899-907
Theory of implicit extrapolation methods for ordinary differential equations....Pages 909-918
Spline collocation methods for weakly singular Volterra integro-differential equations....Pages 919-928
Front Matter....Pages 929-929
Linear systems of equations arising in the (almost) FEM solution of low-frequency electromagnetic problems....Pages 931-940
A preconditioned Krylov subspace solver for a saddle-point model of a single-phase induction machine....Pages 941-948
Application of AMG to the numerical simulation of 3D ultrasonic transducers....Pages 949-956
Bi-CGSTAB for collocation equations on distributed memory parallel architectures....Pages 957-966
Two-level preconditioning of a discontinuous Galerkin method for radiation diffusion....Pages 967-977
A new preconditioner for the Oseen equations....Pages 979-988
Analysis of convergence of a restarted GMRES method augmented with eigenvectors....Pages 989-996