Iterative Substructuring for Coupled Acoustics 3

9. Iterative Substructuring with Lagrange Multipliers for Coupled Fluid-Solid Scattering

First-order System Least- Squares for Second-order Partial Diierential Equations: Part Ii. Siam J

analysis of iterative substructuring algorithms for elliptic problems in three dimensions. Least-squares mixed-nite elements for second-order elliptic problems. A least-squares approach based on a discrete minus one inner product for rst order systems. Technical report, Brookhaven National Laboratory, 1994. 4] J. H. Bramble and J. E. Pasciak. Least-squares methods for Stokes equations based on ...

Iterative scheme to a coupled system of highly nonlinear fractional order differential equations

In this article, we investigate sufficient conditions for existence of maximal and minimal solutions to a coupled system of highly nonlinear differential equations of fractional order with mixed type boundary conditions. To achieve this goal, we apply monotone iterative technique together with the method of upper and lower solutions. Also an error estimation is given to check the accuracy of th...

Schwarz Analysis of an Iterative Substructuring Algorithm for P1 Nonconforming Finite Elements

We give an iterative substructuring algorithm for the P1 nonconforming nite element approximation of a second order elliptic problem in dimension two. The algorithm and its convergence analysis are based on an abstract framework of the Schwarz method. A bound is established for the condition number of this iterative method which grows only logarithmically with the number of degrees of freedom. ...

An accelerated gradient based iterative algorithm for solving systems of coupled generalized Sylvester-transpose matrix equations

‎In this paper‎, ‎an accelerated gradient based iterative algorithm for solving systems of coupled generalized Sylvester-transpose matrix equations is proposed‎. ‎The convergence analysis of the algorithm is investigated‎. ‎We show that the proposed algorithm converges to the exact solution for any initial value under certain assumptions‎. ‎Finally‎, ‎some numerical examples are given to demons...