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On Vector Helmholtz Equation with a Coupling Boundary Condition 被引量:1
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作者 Gang Li Jiangsong Zhang +1 位作者 Jiang Zhu Danping Yang 《Numerical Mathematics A Journal of Chinese Universities(English Series)》 SCIE 2007年第4期358-369,共12页
The Helmholtz equation is sometimes supplemented by conditions that include the specification of the boundary value of the divergence of the unknown.In this paper, we study the vector Helmholtz problem in domains of b... The Helmholtz equation is sometimes supplemented by conditions that include the specification of the boundary value of the divergence of the unknown.In this paper, we study the vector Helmholtz problem in domains of both C^(1,1)and Lipschitz.We es- tablish a rigorous variational analysis such as equivalence,existence and uniqueness. And we propose finite element approximations based on the uncoupled solutions.Fi- nally we present a convergence analysis and error estimates. 展开更多
关键词 亥姆霍兹方程 耦合边界条件 有限元 计算方法
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Solution of Multimaterial Equilibrium Radiation Diffusion Problems by using the Discontinuous Galerkin Method
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作者 ZHANG Rong-Pei YU Xi-Jun ZHU Jiang 《Chinese Physics Letters》 SCIE CAS CSCD 2012年第11期1-4,共4页
The discontinuous Galerkin method is used for solving the two-dimensional equilibrium radiation diffusion equation.We construct the weighted interior penalty method based on the geometric average weight.The semi-impli... The discontinuous Galerkin method is used for solving the two-dimensional equilibrium radiation diffusion equation.We construct the weighted interior penalty method based on the geometric average weight.The semi-implicit integration factor method is applied to the nonlinear ordinary differential equations obtained by the discontinuous Galerkin spatial discretization.Numerical results are presented to demonstrate the validity and reliability of using the discontinuous Galerkin method for solving the highly nonlinear radiation diffusion equation. 展开更多
关键词 EQUATION DISCONTINUOUS NONLINEAR
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