recent preprints
a review article for reconstruction methods
.
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 <
A posteriori L∞(L2 )-error bounds in finite element approximation of the wave equation
(with E.
Georgoulis and O. Lakkis) Preprint pdf
A posteriori error analysis for higher order dissipative methods for evolution
problems
(with R. Nochetto) Numer. Math. 104 (2006), 489–514.
pdf
Convergence of a continuous Galerkin method with mesh modification for nonlinear wave equations
(with O. Karakashian) Math.Comp. 74 (2005), 85-102 pdf-file
Time-discrete finite element schemes for Maxwell's equations (with P. Monk) RAIRO Math. Model. Anal. Numer. 29 (1995) 171-197
Finite element approximations of nonlinear elastic waves, Mathematics of Computation 61 (1993) 569-594 pdf
On mixed finite element methods for linear elastodynamics, Numer. Math. 61 (1992) 235-260 pdf
Cosine methods for a class of semilinear second-order wave equations, Comput. Math. Applic. 19 (1990) 19-34
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 >
standard schemes for the Helmholtz equation
Schroedinger equations
finite volumes for Hamilton-Jacobi
Stokes and Navier-Stokes
.
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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