SIAM Journal on Scientific Computing
Iterative solution methods
A Scalable Substructuring Method by Lagrange Multipliers for Plate Bending Problems
SIAM Journal on Numerical Analysis
A Domain Decomposition Method with Lagrange Multipliers for Linear Elasticity
A Domain Decomposition Method with Lagrange Multipliers for Linear Elasticity
Parallel simulations of three-dimensional cracks using the generalized finite element method
Computational Mechanics
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The refined Mindlin-Reissner theory is used to estimate the overall response of composite plates. The difficulties with the solution of a system of algebraic equations, which emerged in analysis of composite materials, are studied and a special version of decomposition is proposed. Similarity between the system of equations derived from the layered theory and from the finite element tearing and interconnecting method suggests a strategy for implementation in the parallel environment. Several applications are investigated and a number of numerical results are presented.