Journal ArticleDOI
Linear multipoint constraints applied via transformation as part of a direct stiffness assembly process
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This article is published in International Journal for Numerical Methods in Engineering.The article was published on 1984-11-01. It has received 47 citations till now. The article focuses on the topics: Direct stiffness method & Stiffness matrix.read more
Citations
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Nitsche’s method for a coupling of isogeometric thin shells and blended shell structures
Yujie Guo,Martin Ruess +1 more
TL;DR: In this paper, a variationally consistent weak coupling method for thin-walled shell patches is proposed to ensure a corresponding geometric continuity in the deformed configuration and a correct transfer of bending moments across the interface.
Journal ArticleDOI
Essential boundary conditions and multi-point constraints in finite element analysis
TL;DR: A general approach to the application of boundary conditions and other constraints to the stiffness matrix and load vector is presented and applied to representative examples.
Journal ArticleDOI
Efficient finite element analysis using mesh superposition technique
TL;DR: In this article, a mesh superposition technique is presented for an efficient finite element analysis, which allows local refinement of the mesh without introducing transition region or multi-point constraints, by applying appropriate boundary conditions on the local superimposed mesh, singularity in the global stiffness matrix can be avoided and inter-element compatibility conditions can be satisfied.
Journal ArticleDOI
Graded tetrahedral finite element meshes
David A. Field,Warren D. Smith +1 more
TL;DR: Vertices in the body centred cubic (bcc) lattice are used to create a tetrahedral spatial decomposition and an octree approach is combined with Delaunay triangulations to decompose solids into Tetrahedral finite element meshes.
Journal ArticleDOI
Distributed-memory parallelization of the aggregated unfitted finite element method
TL;DR: This work proposes a parallel distributed-memory method able to efficiently solve problems at large scales and shows that, by considering AgFEM, the resulting systems of linear algebraic equations can be effectively solved using standard algebraic multigrid preconditioners.
References
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Journal ArticleDOI
An algorithm for multipoint constraints in finite element analysis
John F. Abel,Mark S. Shephard +1 more
TL;DR: A method of introducing general constraint equations into finite element matrix equations is described that requires no reordering or condensation of the equations, no large matrix operations, and no increase in the number of unknowns.
Journal ArticleDOI
A solution algorithm for linear constraint equations in finite element analysis
J.I. Curiskis,S. Valliappan +1 more
TL;DR: A general solution algorithm is presented for the incorporation of a general set of linear constraint equations into a linear algebraic system, without need for pre-arranging the equations, into an equation solver using Gauss elimination.
Related Papers (5)
An algorithm for multipoint constraints in finite element analysis
John F. Abel,Mark S. Shephard +1 more
A solution algorithm for linear constraint equations in finite element analysis
J.I. Curiskis,S. Valliappan +1 more