For the constrained minimization of convex or non-convex functionals on the basis of multilevel or domain decomposition methods, different strategies have been proposed within the last decades. These include nonlinear and monotone multigrid methods, see [5, 9, 12, 16, 20], multilevel optimization strategies an
In this paper we discuss domain reduction strategies for global optimization problems with a nonconv...
A general trust region strategy is proposed for solving nonlinear systems of equations and equality ...
Multidisciplinary design optimization (MDO) gives rise to nonlinear optimization problems characteri...
Multidisciplinary design optimization (MDO) gives rise to nonlinear optimization problems characteri...
The first order condition of the constrained minimization problem leads to a saddle point problem. A...
We present a line search multigrid method based on Nash’s MG/OPT multilevel optimization approach fo...
Abstract. We present a line search multigrid method based on Nash’s MG/OPT multilevel optimization a...
Summarization: A convex, multilevel decomposition algorithm is proposed in this paper for the soluti...
General multilevel nonlinear optimization problems arise in design of complex systems and can be use...
The problem of minimizing a twice differentiable convex function f is considered, subject to Ax = b,...
Summarization: A convex, multilevel decomposition approach is proposed for the solution of static an...
In these introductory notes, we focus on smooth and piecewise smooth semilinear elliptic partial dif...
∗ Signatures are on file in the Graduate School. In this thesis, we propose new multilevel and adapt...
For multi-criteria problems and problems with poorly characterized objective, it is often desirable ...
In this paper we discuss domain reduction strategies for global optimization problems with a nonconv...
In this paper we discuss domain reduction strategies for global optimization problems with a nonconv...
A general trust region strategy is proposed for solving nonlinear systems of equations and equality ...
Multidisciplinary design optimization (MDO) gives rise to nonlinear optimization problems characteri...
Multidisciplinary design optimization (MDO) gives rise to nonlinear optimization problems characteri...
The first order condition of the constrained minimization problem leads to a saddle point problem. A...
We present a line search multigrid method based on Nash’s MG/OPT multilevel optimization approach fo...
Abstract. We present a line search multigrid method based on Nash’s MG/OPT multilevel optimization a...
Summarization: A convex, multilevel decomposition algorithm is proposed in this paper for the soluti...
General multilevel nonlinear optimization problems arise in design of complex systems and can be use...
The problem of minimizing a twice differentiable convex function f is considered, subject to Ax = b,...
Summarization: A convex, multilevel decomposition approach is proposed for the solution of static an...
In these introductory notes, we focus on smooth and piecewise smooth semilinear elliptic partial dif...
∗ Signatures are on file in the Graduate School. In this thesis, we propose new multilevel and adapt...
For multi-criteria problems and problems with poorly characterized objective, it is often desirable ...
In this paper we discuss domain reduction strategies for global optimization problems with a nonconv...
In this paper we discuss domain reduction strategies for global optimization problems with a nonconv...
A general trust region strategy is proposed for solving nonlinear systems of equations and equality ...
Multidisciplinary design optimization (MDO) gives rise to nonlinear optimization problems characteri...