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Numerical Mathematics and Advanced Applications

Edited by Franco Brezzi, Annalisa Buffa, Stefania Corsaro and Almerico Murli

in Springer Books from Springer

Date: 2003
ISBN: 978-88-470-2089-4
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Chapters in this book:

Analysis of a domain decomposition method for the coupling of Stokes and Darcy equations
M. Discacciati and A. Quarteroni
Residual-free bubbles for a singular perturbation equation
M. I. Asensio, L. P. Franca and A. Russo
High-order IMEX-RK finite volume methods for multidimensional hyperbolic systems
E. Bertolazzi and G. Manzini
High-order central WENO schemes for 1D Hamilton-Jacobi equations
S. Bryson and D. Levy
Asymptotic analysis of coupled problems for compressible flows
C. A. Coclici, J. Heiermann, Gh. Moroşanu and W. L. Wendland
On the discontinuous Galerkin method for the numerical solution of compressible high-speed flow
V. Dolejší and M. Feistauer
Comparison of two conservative schemes for hyperbolic interface problems
R. Fazio
Adaptive numerical flow simulation
J. Felcman
Flood modelling using mixed-hybrid finite elements
M. Hokr, J. Maryška and R. Smetana
High-order relaxation methods for incompressible Navier-Stokes equations
A. Klar and M. Seaïd
New nonconforming finite elements for solving the incompressible Navier-Stokes equations
P. Knobloch
Explicit and implicit high-resolution finite element schemes based on the flux-corrected-transport algorithm
D. Kuzmin and S. Turek
Genuinely multidimensional evolution Galerkin schemes for the shallow water equations
M. Lukáčová-Medvid’ová and J. Saibertová
Mixed-hybrid FEM discrete fracture network model of the fracture flow
J. Maryška, O. Severýn and M. Vohralík
Numerical evaluation of FEM with application to the 1D advection-diffusion problem
G. Sangalli
Numerical simulation of interfacial flows
A. Smolianski
A family of finite difference schemes for the convection-diffusion equation in two dimensions
E. Sousa and I. Sobey
An unstructured staggered scheme for the Navier—Stokes equations
I. Wenneker, G. Segal and P. Wesseling
Adaptive domain decomposition techniques in electromagnetic field computation and electrothermomechanical coupling problems
R. H. W. Hoppe
Computation of Maxwell eigenvalues on curvilinear domains using hp-version Nédélec elements
M. Ainsworth and J. Coyle
FE solution of a 3D-thermoelectrical model for metallurgical electrodes
A. Bermúdez, J. Bullón and P. Salgado
On the time-harmonic Maxwell equations in general domains
D. Boffi and L. Gastaldi
FI2TD schemes for magnetic field simulations: new formulations and algorithmic improvements
M. Clemens and T. Weiland
A boundary integral formulation of antenna problems suitable for nodal-based wavelet approximations
M. Costabel and C. Safa
Weighted regularization of Maxwell equations: computations in curvilinear polygons
M. Costabel, M. Dauge, D. Martin and G. Vial
Perfectly matched layers in transmission lines
G. Hebermehl, F.-K. Hübner, R. Schlundt, T. Tischler, H. Zscheile and B. Heinrich
The computational modelling of micromagnetic fine structures in uniaxial ferromagnets using the nonconforming domain decomposition method
P. Klouček and L. A. Melara
Towards the convergence of 3D and shell finite elements?
D. Chapelle
A shell model allowing folds
S. Anicic
A Signorini frictionless contact problem for viscoelastic materials with long-term memory
Á. D. Rodríguez Arós, M. Sofonea and J. M. Viaño
Numerical analysis of a contact problem for elastic-visco-plastic materials with damage
O. Chau, J. R. Fernández, W. Han and M. Sofonea
PSRI schemes for shells: a benchmark study
C. Chinosi and G. Sacchi
Propagation of singularities on thin shells with hyperbolic regions
H. Hakula
An analysis of asymptotic consistency error in a parameter-dependent model problem
V. Havu
Homogenized elasticity solvers for biomorphic microcellular ceramics
R. H. W. Hoppe and S. I. Petrova
Energy estimates for shell problems
C. Lovadina
Functional approximation and estimation for latent variable systems
E. Capobianco
The boundary value formulation of the Asian call option
J. Hugger
WENO and blended BDF discretizations for option pricing problems
C. W. Oosterlee, F. J. Gaspar and J. C. Frisch
A nonlinear PDE in mathematical finance
S. Polidoro
An adaptive numerical method for the Vlasov equation based on a multiresolution analysis
N. Besse, F. Filbet, M. Gutnic, I. Paun and E. Sonnendrücker
A brief review of numerical methods for collision operators
S. Cordier and S. Mancini
Numerical methods for the Vlasov equation
F. Filbet and E. Sonnendrücker
On the fast evaluation of kinetic equations for driven granular flows
L. Pareschi
Linear co-volume scheme for anisotropic curvature driven motions
S. Corsaro, V. De Simone, A. Handlovičová, K. Mikula and F. Sgallari
Consistency of a large time-step scheme for mean curvature motion
M. Falcone and R. Ferretti
A scheme for the shape-from-shading model with “black shadows”
M. Falcone, M. Sagona and A. Seghini
A Cahn-Hilliard equation with non-homogeneous mobility and its application to image processing
S. Finzi Vita
Inverse problem for the 3D equation of radiative transfer
G. S. Abdoulaev and A. H. Hielscher
Numerical analysis of a coupled radiative-conductive heat transfer problem
F. Asllanaj, G. Jeandel, J. R. Roche and D. Schmitt
Hybrid FEM/FDM method for an inverse scattering problem
L. Beilina and C. Johnsson
The discrete maximum principle for stabilized finite element methods
E. Burman and A. Ern
Mixed hybrid model of flow in combustion engines
L. Čížková, J. Maryška and J. Šembera
A subgrid projection method for relaxation of non-attainable differential inclusions
D. Cox, P. Klouček and D. R. Reynolds
Some remarks on fixed point and Newton techniques for solving the S 2 approximation of transient radiative transfer
M. Falcone and Ó. López Pouso
Numerical results and error estimates for the finite element solution of problems with nonlinear boundary condition on nonpolygonal domains
P. Sváček and K. Najzar
Multiscale adaptive processing for evolution equations
A. Cohen
Sobolev regularity estimation for hp-adaptive finite element methods
P. Houston, B. Senior and E. Süli
Robustness in a posteriori error estimates for the Oseen equations with general boundary conditions
S. Berrone
A posteriori estimates for FE-solutions of variational inequalities
H. Blum, A. Schröder and F. T. Suttmeier
Adaptive mesh refinement based on a posteriori error estimates for Stokes flow in a 2D problem
P. Burda, J. Novotný and B. Sousedík
Explicit error in a finite element method
P. Destuynder
An adaptive p-wavelet method in a domain decomposition framework
S. Falletta
Adaptive FEM for eigenvalue problems
V. Heuveline and R. Rannacher
A posteriori error estimators for a model parameter estimation problem
K. Kunisch, W. B. Liu and N. Yan
An anisotropic recovery-based a posteriori error estimator
S. Micheletti and S. Perotto
A wavelet-based adaptive scheme for the solution of nonlinear equations
M. Verani
LDG methods for Stokes flow problems
B. Cockburn, G. Kanschat and D. Schötzau
A p 2-continuous, p 1-discontinuous finite element method for the Mindlin-Reissner plate model
P. Hansbo and M. G. Larson
Goal-oriented a posteriori error estimation for compressible fluid flows
R. Hartmann and P. Houston
hp-DGFEM for Maxwell’s equations
P. Houston, I. Perugia and D. Schötzau
Multilevel preconditioners for the interior penalty method
J. Gopalakrishnan and G. Kanschat
A survey of DG methods for elliptic problems
L. D. Marini
The Chimera method for a model problem
F. Brezzi, J.-L. Lions and O. Pironneau
Virtual control for fourth-order problems and for heterogeneous fourth-order second-order coupling
P. Gervasio
Nitsche-type finite element method for elliptic problems with singularities
B. Heinrich
Mortar element coupling between global scalar and local vector potentials to solve eddy current problems
Y. Maday, F. Rapetti and B. I. Wohlmuth
A mosaic preconditioner for a dual Schur complement
E. Tyrtyshnikov and Y. Vassilevski
A computational algorithm for Rjabov’s method for real inversion of Laplace transforms
S. Cuomo, L. D’Amore and A. Murli
A high-order BVM approach to computation of embedded eigenvalues in Sturm-Liouville problems
P. Ghelardoni, G. Gheri and M. Marletta
Numerical solution of boundary value problems with deviated arguments
T. Jankowski
Theory of implicit extrapolation methods for ordinary differential equations
G. Yu. Kulikov
Spline collocation methods for weakly singular Volterra integro-differential equations
I. Parts and A. Pedas
Linear systems of equations arising in the (almost) FEM solution of low-frequency electromagnetic problems
P. Alotto
A preconditioned Krylov subspace solver for a saddle-point model of a single-phase induction machine
H. De Gersem, S. Vandewalle and K. Hameyer
Application of AMG to the numerical simulation of 3D ultrasonic transducers
E. Heikkola and J. Martikainen
Bi-CGSTAB for collocation equations on distributed memory parallel architectures
E. N. Mathioudakis, E. P. Papadopoulou and Y. G. Saridakis
Two-level preconditioning of a discontinuous Galerkin method for radiation diffusion
J. S. Warsa, M. Benzi, T. A. Wareing and J. E. Morel
A new preconditioner for the Oseen equations
A. Wathen, D. Loghin, D. Kay, H. Elman and D. Silvester
Analysis of convergence of a restarted GMRES method augmented with eigenvectors
J. Zítko

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DOI: 10.1007/978-88-470-2089-4

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