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NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS IN IRREGULAR PLANE REGIONS USING QUALITY STRUCTURED CONVEX GRIDS

International Journal of Modeling, Simulation, and Scientific Computing 2013年第2期4卷 115-129页

作者： F.DOM´INGUEZ-MOTA P.FERNANDEZ-VALDEZ S.MENDOZA-ARMENTA G.TINOCO-GUERRERO J.G.TINOCO-RUIZ Facultad de Ciencias F´ısico Matem´aticas Universidad Michoacana de San Nicol´as de Hidalgo Edificio“B” Ciudad Universitaria C.P.58040MoreliaMexico

The variational grid generation method is a powerful tool for generating structured convex grids on irregular simply connected domains whose boundary is a polygonal Jordan *** examples that show the accuracy of a finite difference approximation to the solution of a Poisson equation using this kind of structured grids have been recently *** this paper,we compare the accuracy of the numerical solution calculated using those structured grids and finite differences against the solution obtained with delaunay-like triangulation. on irregular regions.

关键词： Numerical grid generation direct generation method finite difference method finite element method delaunay triangulation.

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Acceleration Strategies Based on an Improved Bubble Packing Method

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Communications in Computational Physics 2014年第6期16卷 115-135页

作者： Nan Qi Yufeng Nie Weiwei Zhang Department of Applied Mathematics School of ScienceNorthwestern Polytechnical University127 Youyi West RoadXi’an 710129China.

The bubble packing method can generate high-quality node sets in simple and complex ***,its efficiency remains to be *** study is a part of an ongoing effort to introduce several acceleration schemes to reduce the cost of ***,allow the viscosity coefficient c in the bubble governing equations to change according the coordinate of the bubble which are defined separately as odd and normal bubbles,and meanwhile with the saw-shape relationship with time or ***,in order to relieve the over crowded initial bubble placement,two coefficients w1 and w2 are introduced to modify the insertion *** range of those two coefficients are discussed to be w1=1,w2∈[0.5,0.8].Finally,a self-adaptive termination condition is logically set when the stable system equilibrium is *** examples illustrate that the computing cost can significantly decrease by roughly 80%via adopting various combination of proper schemes(except the uniform placement example),and the average qualities of corresponding delaunay triangulation.substantially exceed *** shows that those strategies are efficient and can generate a node set with high quality.

关键词： Bubble packing method algorithm efficiency viscosity coefficient mesh generation delaunay triangulation.

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Fully automatic generation of finite element mesh

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Progress in Natural Science:Materials International 1995年第1期 95-100页

作者：丁永祥夏巨谌王英肖景容 China Huazhong University of Science and Technology State Key Laboratory of Plastic Forming Simulation and Die Technology Wuhan 430074

A new general algorithm for automatic generation of finite element mesh within any arbitrarily multi-connected regions is proposed and the automatic local refinement of finite element mesh is successfully realized. This algorithm controls the mesh density in various regions of the problem domain in terms of the implicit " spacing function", and improves the quality of mesh by applying Laplacian smoothing technique.

关键词： finite element method mesh automatic generation spacing function delaunay triangulation.

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