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Results indicate that the explicit Galerkin method is superior to all implicit formulations.
Two implicit formulations of the incremental finite element solution for the parameter variations of creep models are presented and integrated into a finite element code developed by INET.
The new formulation considers pressure, water saturation, and overall compositions as primary variables, reducing the number of unknowns by one when compared to other volume balance fully implicit formulations.
The numerical scheme is based on finite-difference approximations with staggered grids which results in implicit formulations for the momentum equations and a semi-explicit formulation for the continuity equation.
Employing a coherent conceptual framework, Implicit Objects in Computer Graphics addresses the role of implicitly defined objects in the following parts: mathematical foundations of geometric models, implicit formulations for the specification of shapes, implicit primitives, techniques for constructing and manipulating implicit objects, modeling, rendering and animating implicit objects.
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A fully implicit formulation described in this work enables to efficiently solve governing fluid flow equations.
To address this problem, an implicit formulation based on the ODA and TDA is proposed.
Fully implicit formulation of elastoplastic homogenization problem for two-scale analysis.
The hybrid distribution is then evolved by Monte Carlo using the implicit formulation for the time evolution.
The set of velocity-pressure coupled governing equations resulted by the implicit formulation is solved using Choin's projection method.
This implicit formulation has shown accurate as the classical approach, however, it is faster to compute the solution.
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