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On Vector Helmholtz Equation with a Coupling Boundary Condition
作者姓名:Gang  Li
作者单位:Gang Li (Department of Mathematics,Nanjing University of Information Science and Technology,Nanjing 210044,China Jiangsong Zhang~* (School of Mathematics and System Sciences,Shandong University,Jinan 250100,China Jiang Zhu (Laborat(?)rio Nacional de Computa(?)o Cient(?)fica,MCT,Avenida Cet(?)lio Vargas 333,25651-075Petr(?)polis,R J,Brazil Danping Yang (Department of Mathematics,East China Normal University,Shanghai 200062,China
摘    要: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.

关 键 词:亥姆霍兹方程  耦合边界条件  有限元  计算方法

On Vector Helmholtz Equation with a Coupling Boundary Condition
Gang Li,Jiangsong Zhang,Jiang Zhu,Danping Yang.On Vector Helmholtz Equation with a Coupling Boundary Condition[J].Numerical Mathematics A Journal of Chinese Universities English Series,2007,16(4):358-369.
Authors:Gang Li  Jiangsong Zhang  Jiang Zhu  Danping Yang
Abstract: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.
Keywords:Helmholtz equation  coupling boundary condition  variational formulation  uncoupled finite element solution  convergence analysis  
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