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The exact integral form of the tensors can be implemented with numerical integration procedures.
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The proposed methodological improvement is very simple to implement, with numerical relevance in species with complex 3D canopies where the woody elements greatly influence the total leaf area.
Our algorithm is parallelizable and easy to implement with elementary numerical methods.
The proposed models are implemented with empirical data and numerical results are presented.
The proposed technique is implemented with the assistance of a numerical optimization algorithm which automatically adjusts the design parameters.
A level set based optimization algorithm is developed and implemented with several robust and efficient numerical techniques, which include the level set regularization algorithm, gradient projection algorithm, nonlinear velocity mapping algorithm and return mapping algorithm.
In this study, to get insight into the effectiveness of the rotating injection of CO2 and re-injection of the brine, simple simulations were carried out using TOUGH2 numerical simulator implemented with additional source code to account for the effect relative permeability hysteresis.
The entire numerical scheme is implemented with parallelization with hybrid MPI and OpenMP.
This algorithm does not require a special finite element (FE) code and can be implemented with standard FE software and general numerical software such as ABAQUS and MATLAB, respectively.
Finally, numerical simulations are implemented with the seismic force reduction factor Ds, slenderness ratio of braces λ, and number of stories, as major analysis variables.
In this context, a numerical simulation model is implemented with COMSOL Multiphysics®.
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