Large - Scale Eigenvalue Problems in Structural Dynamics
نویسنده
چکیده
منابع مشابه
Solution of Large Eigenvalue Problems in ElectronicStructure Calculations
Predicting the structural and electronic properties of complex systems is one of the outstanding problems in condensed matter physics. Central to most methods used in molecular dynamics is the repeated solution of large eigenvalue problems. This paper reviews the source of these eigenvalue problems, describes some techniques for solving them, and addresses the diiculties and challenges which ar...
متن کاملParallel Solution of Some Large-Scale Eigenvalue Problems Arising in Chemistry and Physics
We consider the numerical solution on distributed-memory parallel arrays of vector processors of some large-scale eigenvalue problems which arise in chemistry and physics. Applications from a variety of areas are discussed, including molecular dynamics, quantum chemistry, optical physics, chemical reactions, and hydrodynamic stability.
متن کاملCOMPUTATIONALLY EFFICIENT OPTIMUM DESIGN OF LARGE SCALE STEEL FRAMES
Computational cost of metaheuristic based optimum design algorithms grows excessively with structure size. This results in computational inefficiency of modern metaheuristic algorithms in tackling optimum design problems of large scale structural systems. This paper attempts to provide a computationally efficient optimization tool for optimum design of large scale steel frame structures to AISC...
متن کاملConjugate Gradient Methods for Solving the Smallest Eigenpair of Large Symmetric Eigenvalue Problems
In this paper, a detailed description of CG for evaluating eigenvalue problems by minimizing the Rayleigh quotient is presented from both theoretical and computational viewpoints. Three variants of CG together with their asymptotic behaviours and restarted schemes are discussed. In addition, it is shown that with a generally selected preconditioning matrix the actual performance of the PCG sche...
متن کاملA FETI-DP method for the parallel iterative solution of indefinite and complex-valued solid and shell vibration problems
The dual-primal finite element tearing and interconnecting (FETI-DP) domain decomposition method (DDM) is extended to address the iterative solution of a class of indefinite problems of the form ( K − 2M)u = f , and a class of complex problems of the form (K − 2M+ i D)u = f , where K, M, and D are three real symmetric matrices arising from the finite element discretization of solid and shell dy...
متن کامل