Paper Titles

Preface and Organizing Committee

A Barycentric Interpolation Collocation Method for Darcy Flow in Two-Dimension
p.3

Straight Beams Rested on Nonlinear Elastic Foundations – Part 1 (Theory, Experiments, Numerical Approach)
p.11

Straight Beams Rested on Nonlinear Elastic Foundations – Part 2 (Numerical Solutions, Results and Evaluation)
p.21

The Research on Post Rolling of Aerodynamic Characteristics Numerical Simulation of Flow Field
p.30

A Posterior Model Reduction Method Based on Weighted Residue for Linear Partial Differential Equations
p.34

Barycentric Interpolation Newton-Raphson Iterative Method for Solving Nonlinear Beam Equations
p.41

Study of Size Effects on Stiffness Matrix
p.49

Characterization of Stiffness Matrix for Surface Effects
p.53

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 684A Barycentric Interpolation Collocation Method for...

A Barycentric Interpolation Collocation Method for Darcy Flow in Two-Dimension

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Abstract:

A meshless, barycentric interpolation collocation method for numerical approximation of Darcy flows is proposed. The barycentric Lagrange interpolation and its differentiation matrices are basic tool to discretize governing equations, Dirichlet and Neumann boundary conditions. For Darcy flows in irregular domains, embedding the irregular domain into a rectangular, the barycentric interpolation collocation method can be directly applied. The resultant saddle-point systems come from combining the discretized governing equations and boundary conditions, such that we can deal easy with all kinds of boundary condition either regular or irregular domains. Some numerical examples are given to illustrate the accuracy, stability and robust of presented method.

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Proceedings of 2014 International Conference on Mechanics and Mechanical Engineering

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Periodical:

Applied Mechanics and Materials (Volume 684)

Pages:

3-10

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.684.3

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Online since:

October 2014

Authors:

Zhao Qing Wang, Bing Tao Tang*, Wei Zheng

Keywords:

Barycentric Lagrange Interpolation, Collocation Method, Darcy Flow, Irregular Domain, Poisson Equation, Potential Problem, Regular Domain

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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