Author(s):
Areias, P. 
; Rabczuk, T.
Date: 2013
Persistent ID: http://hdl.handle.net/10174/10290
Origin: Repositório Científico da Universidade de Évora
Subject(s): Discrete Constituents
Document details
Systematic symbolic generation of additive and multiplicative discrete constitu...
Description
The introduction of equality constraints in a finite element discretization is performed by matrix transformation methods on the clique format of sparse matrices. Topological ordering allows interdependent constraints to be applied without pre-assignment. Besides the standard finite element cliques, constraints generate pseudo-elements which are consequence of the second derivatives of the constraint functions. A partition by classes of constituents is achieved: elements, external loads, Lagrange multiplier-enforced constraints are additive constituents. Rigid body constraints, essential boundary conditions, symmetry relations, etc are multiplicative constituents. Decomposition order follows from an analysis of transformed cliques.
The introduction of equality constraints in a finite element discretization is performed by matrix transformation methods on the clique format of sparse matrices. Topological ordering allows interdependent constraints to be applied without pre-assignment. Besides the standard finite element cliques, constraints generate pseudo-elements which are consequence of the second derivatives of the constraint functions. A partition by classes of constituents is achieved: elements, external loads, Lagrange multiplier-enforced constraints are additive constituents. Rigid body constraints, essential boundary conditions, symmetry relations, etc are multiplicative constituents. Decomposition order follows from an analysis of transformed cliques.
Document Type
Lecture
Language Portuguese
Language Portuguese
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