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 >
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 >
standard schemes for the Helmholtz equation
Schroedinger equations
finite volumes for Hamilton-Jacobi
Stokes and Navier-Stokes
.
.
Papers by computational methods (and methodologies)
Time and space-time finite elements <
Galerkin and Runge-Kutta methods: Unified formulation, a posteriori error estimates and nodal superconvergence
(with G. Akrivis and R. Nochetto) Numer. Math. 118 (2011), 429 - 456
pdf
A posteriori error control for Runge-Kutta discretizations of evolution problems
(with G. Akrivis
and R. Nochetto), Numer. Math. 114 (2009), 133 - 160
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
Galerkin time stepping schemes for nonlinear parabolic Problems
(with G. Akrivis) Math. Model. Numer. Anal. 38 (2004) 261-289
pdf-file
Convergence of the discontinuous Galerkin method for nonlinear parabolic problems
(with G. Akrivis) preprint
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
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
On the stability of the discontinuous Galerkin method for the heat equation
(with I. Babuska) SIAM J. Numer. Anal. 34 (1997) 389-401 ps file
A posteriori error control / reconstruction methods >
time discrete schemes
space and fully discrete schemes
nonlinear problems