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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

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Stress-based atomistic/continuum coupling: a new variant of the quasicontinuum approximation
(with C. Ortner and E. Süli) Preprint pdf

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 pdf

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

Geometrical driven adaptivity >

all papers >

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