Non-overlapping Domain Decomposition Method for a Nodal Finite Element Method
نویسندگان
چکیده
منابع مشابه
Non-overlapping Domain Decomposition Method and Nodal Finite Element Method
The non-overlapping domain decomposition method is an efficient approach for solving time harmonic scattering wave problems. It is used here to reduce large size systems solution to that of several systems of small size and to construct efficient procedures to couple finite element and boundary element methods. The lack of a satisfactory treatment of the so-called cross-points, nodes being shar...
متن کاملNon-overlapping Domain Decomposition Method for a Nodal Finite Element Method
A new approach is proposed to deal with degrees of freedom shared by more than two subdomains in the context of a non-overlapping domain decomposition procedure for solving a system related to a nodal finite element method. The main feature of the method is to preserve the continuity requirements on the unknowns and the finite element equations at these degrees of freedom. We prove that the cor...
متن کاملCoupling of a non-overlapping domain decomposition method for a nodal Finite Element Method with a Boundary Element Method
Non-overlapping domain decomposition techniques are used both to solve the finite element equations and to couple them with a boundary element method. A suitable approach dealing with finite element nodes common to more than two subdomains, the so-called cross-points, endows the method with the following advantages. It yields a robust and efficient procedure to solve the equations resulting fro...
متن کاملUpdating finite element model using frequency domain decomposition method and bees algorithm
The following study deals with the updating the finite element model of structures using the operational modal analysis. The updating process uses an evolutionary optimization algorithm, namely bees algorithm which applies instinctive behavior of honeybees for finding food sources. To determine the uncertain updated parameters such as geometry and material properties of the structure, local and...
متن کاملA Finite Element Method for Domain Decomposition with Non-matching Grids
Abstract. In this note, we propose and analyse a method for handling interfaces between nonmatching grids based on an approach suggested by Nitsche (1971) for the approximation of Dirichlet boundary conditions. The exposition is limited to self-adjoint elliptic problems, using Poisson’s equation as a model. A priori and a posteriori error estimates are given. Some numerical results are included.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Numerische Mathematik
سال: 2006
ISSN: 0029-599X,0945-3245
DOI: 10.1007/s00211-006-0010-9