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SIAMSC
2008
146views more  SIAMSC 2008»
13 years 10 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
MCS
2008
Springer
13 years 10 months ago
Numerical optimal control of the wave equation: optimal boundary control of a string to rest in finite time
In many real-life applications of optimal control problems with constraints in form of partial differential equations (PDEs), hyperbolic equations are involved which typically desc...
Matthias Gerdts, Günter Greif, Hans Josef Pes...
SIAMADS
2010
63views more  SIAMADS 2010»
13 years 5 months ago
Time Integration and Steady-State Continuation for 2d Lubrication Equations
Lubrication equations describe many structuring processes of thin liquid films. We develop and apply a numerical framework suitable for their analysis employing a dynamical systems...
Philippe Beltrame, Uwe Thiele
SIAMSC
2008
188views more  SIAMSC 2008»
13 years 10 months ago
Adaptivity with Dynamic Meshes for Space-Time Finite Element Discretizations of Parabolic Equations
In this paper, we develop an error estimator and an adaptive algorithm for efficient solution of parabolic partial differential equations. The error estimator assesses the discreti...
Michael Schmich, Boris Vexler
FOCM
2010
90views more  FOCM 2010»
13 years 9 months ago
Convergence of a Time Discretisation for Doubly Nonlinear Evolution Equations of Second Order
The convergence of a time discretisation with variable time steps is shown for a class of doubly nonlinear evolution equations of second order. This also proves existence of a weak...
Etienne Emmrich, Mechthild Thalhammer