On an iterative method for variational inequalities.
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Displaying 1 – 18 of 18
On the boundary element method for the Signorini problem of the Laplacian.
W. Spann (1993)
Numerische Mathematik
On the Convergence of the Approximate Free Boundary for the Parabolic Obstacle Problem
Paola Pietra, Claudio Verdi (1985)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Si discretizza il problema dell'ostacolo parabolico con differenze all'indietro nel tempo ed elementi finiti lineari nello spazio e si dimostrano stime dell'errore per la frontiera libera discreta.
On the gap between the semilocal convergence domains of two Newton methods
Ioannis K. Argyros (2007)
Applicationes Mathematicae
We answer a question posed by Cianciaruso and De Pascale: What is the exact size of the gap between the semilocal convergence domains of the Newton and the modified Newton method? In particular, is it possible to close it? Our answer is yes in some cases. Using some ideas of ours and more precise error estimates we provide a semilocal convergence analysis for both methods with the following advantages over earlier approaches: weaker hypotheses; finer error bounds on the distances involved, and at...
On the numerical solution of axisymmetric domain optimization problems
Ivan Hlaváček, Raino Mäkinen (1991)
Applications of Mathematics
An axisymmetric second order elliptic problem with mixed boundarz conditions is considered. A part of the boundary has to be found so as to minimize one of four types of cost functionals. The numerical realization is presented in detail. The convergence of piecewise linear approximations is proved. Several numerical examples are given.
On the parameter selection problem in the Newton-ADI iteration for large-scale Riccati equations.
Benner, Peter, Mena, Hermann, Saak, Jens (2007)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
On the semilocal convergence of a fast two-step Newton method.
Argyros, Ioannis K. (2008)
Revista Colombiana de Matemáticas
On the solution of inverse problems for generalized oxygen consumption
Denis Constales, Jozef Kačur (2001)
Applications of Mathematics
We present the solution of some inverse problems for one-dimensional free boundary problems of oxygen consumption type, with a semilinear convection-diffusion-reaction parabolic equation. Using a fixed domain transformation (Landau’s transformation) the direct problem is reduced to a system of ODEs. To minimize the objective functionals in the inverse problems, we approximate the data by a finite number of parameters with respect to which automatic differentiation is applied.
On the solution of some inverse problems in infiltration
Denis Constales, Jozef Kačur (2001)
Mathematica Bohemica
In this paper we discuss inverse problems in infiltration. We propose an efficient method for identification of model parameters, e.g., soil parameters for unsaturated porous media. Our concept is strongly based on the finite speed of propagation of the wetness front during the infiltration into a dry region. We determine the unknown parameters from the corresponding ODE system arising from the original porous media equation. We use the automatic differentiation implemented in the ODE solver LSODA....
On the solution of some inverse problems in porous media flow.
Constales, D., Kačur, J. (2001)
Acta Mathematica Universitatis Comenianae. New Series
On Theoretical and Numerical Aspects of the Bang-Bang-Principle.
K. Glashoff, E. Sachs (1977/1978)
Numerische Mathematik
On weak solutions to a viscoelasticity model
Jaroslav Milota, Jindřich Nečas, Vladimír Šverák (1990)
Commentationes Mathematicae Universitatis Carolinae
Open problems in nonlinear conjugate gradient algorithms for unconstrained optimization.
Andrei, Neculai (2011)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
Optimal control of dynamical processes in two-phase systems of solid-liquid type
Irena Pawłow (1990)
Banach Center Publications
Optimal control of partial differential equations with affine control constraints
Juan de Los Reyes, Karl Kunisch (2009)
Control and Cybernetics
Optimal snapshot location for computing POD basis functions
Karl Kunisch, Stefan Volkwein (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
The construction of reduced order models for dynamical systems using proper orthogonal decomposition (POD) is based on the information contained in so-called snapshots. These provide the spatial distribution of the dynamical system at discrete time instances. This work is devoted to optimizing the choice of these time instances in such a manner that the error between the POD-solution and the trajectory of the dynamical system is minimized. First and second order optimality systems are given. Numerical...
Optimality properties of controls with bang-bang components in problems with semilinear state equation
Ursula Felgenhauer (2005)
Control and Cybernetics
Optimization of dynamical systems
Ladislav Lukšan, Jan Vlček (1996)
Kybernetika
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