Book of Abstracts Computational Linear Algebra with Applications
نویسندگان
چکیده
The purpose of this work is to study for small strains, the quasistatic two-body contact problem without friction. The mechanical interation between the bodies is modeled, under the assumption of small displacement, by the bilateral or unilateral contact condition [1]. An algorithm is introduced to solve the resulting finite element system by a non-overlapping domain decomposition method. The global problem is transformed to a independent local problems posed in each bodie and a problem posed on the contact surface (the interface problem). The central aspect of this work is the adaptation of a preconditioner construction developed by B. Kiss at al., in [2] for non-overlapping decomposition domain method to the contact problem. The circulant matrix representations of the H 1 2 seminorm has been proved to be spectrally equivalent to the Schur Complement in [3]. The advantage of this preconditioner construction is, that its preconditioning property is optimal and this technique allows us to reduce the storage and the matrix-vector multiplication costs. Using this equivalence, the interface problem is transformed to an equivalent problem which is solved with adequate mathematical programming methods [4]. The developed algorithm is validated for two-dimensional and three-dimensional problems.
منابع مشابه
A course in linear algebra with applications
Why should wait for some days to get or receive the a course in linear algebra with applications book that you order? Why should you take it if you can get the faster one? You can find the same book that you order right here. This is it the book that you can receive directly after purchasing. This a course in linear algebra with applications is well known book in the world, of course many peopl...
متن کاملBook of Abstracts and List of Participants for the German-Polish Workshop for Young Researchers in Numerical and Applied Linear Algebra
متن کامل
Computational Matrix Analysis
Alan J. Laub Using an approach that its author calls “matrix analysis for grown-ups,” this new textbook introduces fundamental concepts of numerical linear algebra and their application to solving certain numerical problems arising in state-space control and systems theory. It provides readers with a one-semester introduction to numerical linear algebra; an introduction to statistical condition...
متن کاملVectors , Matrices , and Least Squares ( Working Title ) S . Boyd and L . Vandenberghe DRAFT
linear algebra. This book covers some of the most important basic ideas from linear algebra, such as linear independence. In a more abstract course you will learn about vector spaces, subspaces, nullspace and range. Eigenvalues and singular values are very useful topics that we do not cover in this book. Computational linear algebra. In a course on computational or numerical linear algebra you ...
متن کاملA computational wavelet method for numerical solution of stochastic Volterra-Fredholm integral equations
A Legendre wavelet method is presented for numerical solutions of stochastic Volterra-Fredholm integral equations. The main characteristic of the proposed method is that it reduces stochastic Volterra-Fredholm integral equations into a linear system of equations. Convergence and error analysis of the Legendre wavelets basis are investigated. The efficiency and accuracy of the proposed method wa...
متن کامل