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 <
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
Analysis for time discrete approximations of blow-up solutions of semilinear parabolic equations
(with I. Kyza) SIAM J. Numer. Anal. 49 (2011) 405 - 426
pdf
Sharply localized pointwise a posteriori error estimates for parabolic problems
(with
A. Demlow) Math. Comp. 79 (2010), 1233-1262. pdf
Pointwise a posteriori error estimates for parabolic problems via el liptic reconstruction
(with
A. Demlow, O. Lakkis) SIAM J. Numer. Anal. 47 (2009), 2157-2176
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 estimates and maximal regularity for approximations of fully nonlinear parabolic
problems in Banach spaces
(with E. Cuesta), Numer. Math. 110, (2008), 257-275
pdf
A posteriori estimates for approximations of time dependent Stokes equations
(with F. Karakatsani) IMA Journal of Numerical Analysis 27 (2007) 741-764
pdf
Space and Time Reconstructions in A Posteriori Analysis of Evolution Problems, ESAIM: Proceedings, September 2007, vol. 21, 31–44 pdf
Elliptic reconstruction and a posteriori error analysis for fully discrete linear parabolic problems
(with O. Lakkis) Math. Comp. 75 (2006), 1627–1658
pdf
A posteriori error analysis for higher order dissipative methods for evolution
problems
(with R. Nochetto) Numer. Math. 104 (2006), 489–514.
pdf
A posteriori error estimates for the Crank-Nicolson method for parabolic equations
(with G. Akrivis and R. Nochetto) Math. Comp. 75 (2006), 511-531.
pdf
Galerkin time stepping schemes for nonlinear parabolic Problems
(with G. Akrivis) Math. Model. Numer. Anal. 38 (2004) 261-289
pdf-file
Elliptic reconstruction and a posteriori error estimates for parabolic problems
(with R. Nochetto) SIAM J. Numer. Anal. 41 (2003), no. 4, 1585-1594
paper -
pdf-file
Convergence of the discontinuous Galerkin method for nonlinear parabolic problems
(with G. Akrivis) preprint
Implicit-explicit multistep finite element methods for nonlinear parabolic problems
(with G. Akrivis and M. Crouzeix)
Mathematics of Computation, 67 (1998), 457-477 pdf file
Implicit-explicit multistep methods for quasilinear parabolic equations
(with G. Akrivis and M. Crouzeix) Numer. Math. 82 (1999) 521 - 541. pdf-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
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 >
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