Your most visited
- Sorry, this tool will only work with Javascript available.
| Title | On the Solution of Linear Equations |
| Author/s | Aylin Ahadi, Per Lidström |
| Department/s |
Mechanics
|
| Full-text | Full text is not available in this archive |
| Publishing year | 2012 |
| Document type | Journal article |
| Status | unpublished |
| Language | English |
| Abstract English | n this paper a constrained system of linear equations is considered. These equations do, for instance, appear as a result of finite element formulations of static equilibrium problem for solids. Two classical methods for the solution of the equations are discussed; the method using elimination of constrained coordinates and a method using Lagrangian multipliers. The relation to the minimization of the mechanical energy is elucidated. Existence of solutions is proved under specific conditions and the methods are compared in some examples. It is also shown that the method using elimination of constrained coordinates can be simplified considerably if periodic boundary conditions are introduced in the equilibrium problem. |
| Subject |
Technology and Engineering |
| Keywords | linear equations, constraints, Lagrangean multipliers |
