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SIAMNUM
2011
90views more  SIAMNUM 2011»
12 years 11 months ago
Analysis for Time Discrete Approximations of Blow-up Solutions of Semilinear Parabolic Equations
We prove a posteriori error estimates for time discrete approximations, for semilinear parabolic equations with solutions that might blow-up in finite time. In particular we consi...
Irene Kyza, Charalambos Makridakis
MOC
1998
90views more  MOC 1998»
13 years 4 months ago
Numerical solution of parabolic integro-differential equations by the discontinuous Galerkin method
The numerical solution of a parabolic equation with memory is considered. The equation is first discretized in time by means of the discontinuous Galerkin method with piecewise co...
Stig Larsson, Vidar Thomée, Lars B. Wahlbin
MOC
1998
126views more  MOC 1998»
13 years 4 months ago
Implicit-explicit multistep finite element methods for nonlinear parabolic problems
We approximate the solution of initial boundary value problems for nonlinear parabolic equations. In space we discretize by finite element methods. The discretization in time is b...
Georgios Akrivis, Michel Crouzeix, Charalambos Mak...
MOC
2000
126views more  MOC 2000»
13 years 4 months ago
Adaptive multilevel methods in space and time for parabolic problems-the periodic case
The aim of this paper is to display numerical results that show the interest of some multilevel methods for problems of parabolic type. These schemes are based on multilevel spatia...
J. B. Burie, M. Marion
SIAMSC
2008
146views more  SIAMSC 2008»
13 years 4 months ago
Long Time Numerical Solution of the Navier--Stokes Equations Based on a Sequential Regularization Formulation
Abstract. The sequential regularization method is a reformulation of the unsteady Navier-Stokes equations from the view point of constrained dynamical systems or approximate Helmho...
Ping Lin, Jian-Guo Liu, Xiliang Lu