Some nonlinear coupled problems of hyperbolic and parabolic equations are considered, the finite element scheme and A. D. I. finite element scheme are studied. The existence and uniqueness of the approximational schem...
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Some nonlinear coupled problems of hyperbolic and parabolic equations are considered, the finite element scheme and A. D. I. finite element scheme are studied. The existence and uniqueness of the approximational schemes are obtained, together with the optimal H 1-norm and L 2-norm convergence results.
Delaunay triangulation has been widely used in many fields such as compu- tational fluid dynamics, statistics, meteorology solid state physics, computational geometry and so on. Bowyer-Watson algorithm is a very popul...
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Delaunay triangulation has been widely used in many fields such as compu- tational fluid dynamics, statistics, meteorology solid state physics, computational geometry and so on. Bowyer-Watson algorithm is a very popular one for generating Delaunay triangulation. In generating the Delaunay triangulation of a preassigned set of n points, the complexity of Bowyer-Watson algorithm can at most be reduced to O(n log n) for the simple reason that the complexity of its tree search process is O(nlog n). In this paper we suggest a tree search technique whose complexity is O(n). Noting that the order of point insertion can affect the efficiency of Bowyer- Watson algorithm, we propose a technique to optimize the point insertion process. Based on these two techniques, we obtain a fast algorithm for generating Delaunay triangulation.
This paper presented two efficient parallel strategies for domain splitting method arising from the 2-dimensional multiple matters computational fluid dynamics.
This paper presented two efficient parallel strategies for domain splitting method arising from the 2-dimensional multiple matters computational fluid dynamics.
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