Add to ORKGIn this paper, a new multigrid interior point approach to topology optimization problems in the context of the homogenization method is presented. The key observation is that nonliner interior point methods lead to linear-quadratic subproblems with structures that can be favorably exploited within multigrid methods. Primal as well as primal -dual formulations are discussed. The multigrid approach is based on the transformed smoother paradigm. Numerical results for an example problem are presented. (orig.)Available from TIB Hannover: RR 1606(98-57) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman
The use of multigrid and related preconditioners with the finite element method is often limited by ...
This work develops a computational model for topology optimization of linear elastic structures for ...
We present a novel topology optimization formulation capable to handle the presence of stress constr...
This dissertation has investigated the use of multigrid methods in certain classes of optimization p...
Transforming smoothers are known as a successful approach to the multigrid treatment of saddlepoint ...
AbstractIterative techniques are a key methodology for the numerical solution of optimization proble...
The first order condition of the constrained minimization problem leads to a saddle point problem. A...
Iterative techniques are a key methodology for the numerical solution of optimization problems in di...
Shape and topology optimization of a linearly elastic structure is discussed using a modification of...
Structural topology optimization is a fast growing field that is finding numerous applications in au...
In this dissertation, three topics are presented aiming at increasing the efficiency and applicabili...
Topology optimization finds the optimal material distribution of a continuum in a domain, subject to...
In this report we propose a stabilization method for topology optimization of planes. The method can...
In a recent project [1] the authors have developed an approach to assist the identification of the o...
We develop new multigrid methods for a class of saddle point problems that include the Stokes system...
The use of multigrid and related preconditioners with the finite element method is often limited by ...
This work develops a computational model for topology optimization of linear elastic structures for ...
We present a novel topology optimization formulation capable to handle the presence of stress constr...
This dissertation has investigated the use of multigrid methods in certain classes of optimization p...
Transforming smoothers are known as a successful approach to the multigrid treatment of saddlepoint ...
AbstractIterative techniques are a key methodology for the numerical solution of optimization proble...
The first order condition of the constrained minimization problem leads to a saddle point problem. A...
Iterative techniques are a key methodology for the numerical solution of optimization problems in di...
Shape and topology optimization of a linearly elastic structure is discussed using a modification of...
Structural topology optimization is a fast growing field that is finding numerous applications in au...
In this dissertation, three topics are presented aiming at increasing the efficiency and applicabili...
Topology optimization finds the optimal material distribution of a continuum in a domain, subject to...
In this report we propose a stabilization method for topology optimization of planes. The method can...
In a recent project [1] the authors have developed an approach to assist the identification of the o...
We develop new multigrid methods for a class of saddle point problems that include the Stokes system...
The use of multigrid and related preconditioners with the finite element method is often limited by ...
This work develops a computational model for topology optimization of linear elastic structures for ...
We present a novel topology optimization formulation capable to handle the presence of stress constr...