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On boundary integral equations in electroelasticity
Journal of Applied Mathematics and Mechanics, 1989zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vatul'yan, A. O., Kublikov, V. L.
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1983
This chapter is concerned with the introduction of the basic integral equations for two-dimensional elastic linear material problems. It starts by briefly reviewing the partial differential equations for linear elastic material and introducing the necessary notations involved in the formulation.
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This chapter is concerned with the introduction of the basic integral equations for two-dimensional elastic linear material problems. It starts by briefly reviewing the partial differential equations for linear elastic material and introducing the necessary notations involved in the formulation.
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1984
According to the Dirichlet existence-uniqueness theorem, there exists a unique harmonic function φ in Bi which assumes prescribed continuous boundary values on a Liapunov surface ∂B. To construct φ in Bi, we write $$\phi (\underline {\text{p}} ) = \mathop \smallint \limits_{\partial {\text{B}}} g(\underline {\text{p}} {\text{,}}\underline {\text{q}}
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According to the Dirichlet existence-uniqueness theorem, there exists a unique harmonic function φ in Bi which assumes prescribed continuous boundary values on a Liapunov surface ∂B. To construct φ in Bi, we write $$\phi (\underline {\text{p}} ) = \mathop \smallint \limits_{\partial {\text{B}}} g(\underline {\text{p}} {\text{,}}\underline {\text{q}}
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Applied Mathematics and Mechanics, 1983
Based on [1], we have further applied the variational principle of the variable boundary to investigate the discretization analysis of the solid system and derived the generalized Galerkin's equations of the finite element, the boundary variational equations and the boundary integral equations. These equations indicate that the unknown functions of the
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Based on [1], we have further applied the variational principle of the variable boundary to investigate the discretization analysis of the solid system and derived the generalized Galerkin's equations of the finite element, the boundary variational equations and the boundary integral equations. These equations indicate that the unknown functions of the
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An Indirect Boundary Integral Equation Method for the Biharmonic Equation
SIAM Journal on Numerical Analysis, 1994An indirect boundary integral equation method for solving the Dirichlet problem for the biharmonic equation is proposed. For the numerical solution, a discrete Galerkin method is used and a complete numerical analysis in a suitable Sobolev space is given.
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A boundary integral equation method for the transmission eigenvalue problem
, 2017F. Cakoni, R. Kress
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Indirect Boundary Integral Equation Method for the Cauchy Problem of the Laplace Equation
Journal of Scientific Computing, 2016Yao Sun
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