recent preprints
a review article for reconstruction methods
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Papers by class of problems
Conservation Laws >
finite element relaxation schemes
finite difference and kinetic schemes
finite volumes
a posteriori estimates
geometrical driven adaptivity
Wave Equations >
finite elements for linear elastodynamics
nonlinear wave equations
Parabolic Problems >
analysis of the time dg-method
implicit-explicit schemes for nonlinear problems
a posteriori estimates for linear problems
conditional error control for nonlinear problems
Other Problems <
Stress-based atomistic/continuum coupling: a new variant of the quasicontinuum approximation
(with C. Ortner and E. Süli) Preprint
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Error control for time-splitting spectral approximations of the semiclassical Schr¨odinger equation
(with I. Kyza, M. Plexoussakis) IMA J. Numer. Anal. 31 (2011), 416–441
pdf
A posteriori estimates for approximations of time dependent Stokes equations
(with F. Karakatsani) IMA Journal of Numerical Analysis 27 (2007) 741-764
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Stability and convergence of relaxation finite element schemes for the incompressible Navier-Stokes equations (with Th. Katsaounis and C. Simeoni) Proceedings of the Conference on Hy- perbolic Problems, Yakohama Pupl., 2005, 87–92 pdf-file
A posteriori error estimates for a finite volume method for Stokes equations
(with P. Chatzipandelidis and M. Plexousakis) Appl. Numer. Math. 46 (2003), no. 1, 45-58.
pdf-file
Finite volume schemes for Hamilton Jacobi equations
(with G. Kossioris and P. Souganidis) Numer. Math. 83 (1999), 427 - 442 pdf-file
A space time finite element method for the nonlinear Schroedinger equation: the discontinuous Galerkin method
(with O. Karakashian) Mathematics of Computation 67 (1998), 479-499 ps file
Implicit-explicit multistep methods for quasilinear parabolic equations
(with G. Akrivis and M. Crouzeix) Numer. Math. 82 (1999) 521 - 541. pdf-file
A space time finite element method for the nonlinear Schroedinger equation. II: the continuous Galerkin method
(with O. Karakashian) SIAM J. Numer. Anal. 36 (1999) 1779 -1807 ps-file
Analysis and finite element methods for a fluid-solid interaction problem in one dimension
(with I. Babuska and F. Ihlenburg)
Math. Models Meth. Appl. Sc. 6 (1996) 1119-1141
Error estimates of Galerkin FEM for a coupled set of Helmholtz equations in one dimension
(with F. Ihlenburg) (Proceedings of 11 th GAMM), Kiel (1995)
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Papers by computational methods (and methodologies)
Time and space-time finite elements >
a priori analysis of the time dg-method
a posteriori estimates
A posteriori error control / reconstruction methods >
time discrete schemes
space and fully discrete schemes
nonlinear problems