In this paper,a class of new immersed interface finite element methods (IIFEM) is developed to solve elasticity interface problems with homogeneous and non-homogeneous jump conditions in two dimensions.Simple non-body...In this paper,a class of new immersed interface finite element methods (IIFEM) is developed to solve elasticity interface problems with homogeneous and non-homogeneous jump conditions in two dimensions.Simple non-body-fitted meshes are used.For homogeneous jump conditions,both non-conforming and conforming basis functions are constructed in such a way that they satisfy the natural jump conditions. For non-homogeneous jump conditions,a pair of functions that satisfy the same non-homogeneous jump conditions are constructed using a level-set representation of the interface.With such a pair of functions,the discontinuities across the interface in the solution and flux are removed;and an equivalent elasticity interface problem with homogeneous jump conditions is formulated.Numerical examples are presented to demonstrate that such methods have second order convergence.展开更多
Objective： To observe the therapeutical effect of using the paste of Wu Zhu Yu （Fructus Evodia） for acupoint sticking combined with tonifying kidney, to treat the recurrent aphthous ulcer. Methods： Thirty-six case...Objective： To observe the therapeutical effect of using the paste of Wu Zhu Yu （Fructus Evodia） for acupoint sticking combined with tonifying kidney, to treat the recurrent aphthous ulcer. Methods： Thirty-six cases ofreccurent aphthous ulcer due to kidney dificiency were treated with Wu Zhu Yu （Fructus Evodia） paste applying to Yongquan （KI 1）, and orally taking Liu Wei Di Huang Pill. Ten treatments made up one course, 2-3 d of interval between 2 courses. Then 1-year follow-up was made. Results： Twenty cases were cured, 12 cases improved, 4 cases failed. Conclusion： The method of using Wu Zhu Yu （Fructus Evodia） paste applying to acupoint Yongquan （KI 1）, integrated with the manipulation of strengthening kidney, can effectively shorten the duration of disease, improve the symptoms, and control recurrency, which is good for this disease.展开更多
基金supported by the US ARO grants 49308-MA and 56349-MAthe US AFSOR grant FA9550-06-1-024+1 种基金he US NSF grant DMS-0911434the State Key Laboratory of Scientific and Engineering Computing of Chinese Academy of Sciences during a visit by Z.Li between July-August,2008.
文摘In this paper,a class of new immersed interface finite element methods (IIFEM) is developed to solve elasticity interface problems with homogeneous and non-homogeneous jump conditions in two dimensions.Simple non-body-fitted meshes are used.For homogeneous jump conditions,both non-conforming and conforming basis functions are constructed in such a way that they satisfy the natural jump conditions. For non-homogeneous jump conditions,a pair of functions that satisfy the same non-homogeneous jump conditions are constructed using a level-set representation of the interface.With such a pair of functions,the discontinuities across the interface in the solution and flux are removed;and an equivalent elasticity interface problem with homogeneous jump conditions is formulated.Numerical examples are presented to demonstrate that such methods have second order convergence.
文摘Objective： To observe the therapeutical effect of using the paste of Wu Zhu Yu （Fructus Evodia） for acupoint sticking combined with tonifying kidney, to treat the recurrent aphthous ulcer. Methods： Thirty-six cases ofreccurent aphthous ulcer due to kidney dificiency were treated with Wu Zhu Yu （Fructus Evodia） paste applying to Yongquan （KI 1）, and orally taking Liu Wei Di Huang Pill. Ten treatments made up one course, 2-3 d of interval between 2 courses. Then 1-year follow-up was made. Results： Twenty cases were cured, 12 cases improved, 4 cases failed. Conclusion： The method of using Wu Zhu Yu （Fructus Evodia） paste applying to acupoint Yongquan （KI 1）, integrated with the manipulation of strengthening kidney, can effectively shorten the duration of disease, improve the symptoms, and control recurrency, which is good for this disease.
