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On the Solution of Linear Equations

Ahadi, Aylin LU and Lidström, Per LU (2012) In [unknown]
Abstract
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.
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author
organization
publishing date
type
Contribution to journal
publication status
unpublished
subject
keywords
constraints, linear equations, Lagrangean multipliers
in
[unknown]
publisher
Historielärarnas förening
ISSN
0439-2434
language
English
LU publication?
yes
id
b74cb3ee-c605-4e9e-a5ee-0de5cae92f27 (old id 2296625)
date added to LUP
2012-01-19 13:07:20
date last changed
2016-09-13 15:31:16
@misc{b74cb3ee-c605-4e9e-a5ee-0de5cae92f27,
  abstract     = {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.},
  author       = {Ahadi, Aylin and Lidström, Per},
  issn         = {0439-2434},
  keyword      = {constraints,linear equations,Lagrangean multipliers},
  language     = {eng},
  publisher    = {ARRAY(0x878f8a0)},
  series       = {[unknown]},
  title        = {On the Solution of Linear Equations},
  year         = {2012},
}