Experiences with FETI-DP in a Production Level Finite Element Application
نویسندگان
چکیده
Introduction The need for predictive, qualified models of very complex structures drives the requirements for large scale structural analysis. Reduced testing in the nuclear weapons program is a driving factor at the DOE labs. In addition, more detailed models reduce the need for engineering approximation, improve accuracy and often simplify model construction. Uncertainty in model parameters (for example, variations in joint preloads) can require multiple analyses for evaluation of a structure. Salinas was designed to meet the needs of a very large scale, general purpose, structural dynamics analysis ([1] and [14]).
منابع مشابه
A dual-primal FETI method for solving a class of fluid-structure interaction problems in the frequency domain
The dual-primal finite element tearing and interconnecting method (FETI-DP) is extended to systems of linear equations arising from a finite element discretization for a class of fluid-structure interaction problems in the frequency domain. A preconditioned GMRES iteration is used to solve the linear equations for the Lagrange multipliers introduced on the subdomain boundaries to enforce contin...
متن کاملA FETI-DP Method for Crouzeix-Raviart Finite Element Discretizations
This paper is concerned with the construction and analysis of a parallel preconditioner for a FETI-DP system of equations arising from the nonconforming Crouzeix-Raviart finite element discretization of a model elliptic problem of second order with discontinuous coefficients. We show that the condition number of the preconditioned problem is independent of the coefficient jumps, and grows only ...
متن کاملUN CO RR EC TE D PR O O F 1 A Neumann - Dirichlet Preconditioner for FETI - DP 2 Method for Mortar Discretization of a Fourth Order 3 Problems in 2 D 4
FETI-DP methods were introduced in [8]. They form a class of fast and efficient 13 iterative solvers for algebraic systems of equations arising from the finite element 14 discretizations of elliptic partial differential equations of second and fourth order, 15 cf. [8, 10, 11, 16] and references therein. In a one-level FETI-DP method one has 16 to solve a linear system for a set of dual variable...
متن کاملTowards Extremely Scalable Nonlinear Domain Decomposition Methods for Elliptic Partial Differential Equation
The solution of nonlinear problems, e.g., in material science requires fast and highly scalable parallel solvers. FETI-DP (Finite Element Tearing and Interconnecting) domain decomposition methods are parallel solution methods for implicit problems discretized by finite elements. Recently, nonlinear versions of the well-known FETI-DP methods for linear problems have been introduced. In these met...
متن کاملA unified FETI-DP approach for incompressible Stokes equations
A unified framework of FETI-DP algorithms is proposed for solving the system of linear equations arising from the mixed finite element approximation of incompressible Stokes equations. A distinctive feature of this framework is that it allows using both continuous and discontinuous pressures in the algorithm, while previous FETI-DP methods only apply to discontinuous pressures. A preconditioned...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2002