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On boundary integral equations in electroelasticity

Journal of Applied Mathematics and Mechanics, 1989
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Vatul'yan, A. O., Kublikov, V. L.
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Boundary Integral Equations

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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Boundary Integral Equations

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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The generalized Galerkin's equation of the finite element, the boundary variational equations and the boundary integral equations

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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Boundary Integral Equations

2021
George C. Hsiao, Wolfgang L. Wendland
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An Indirect Boundary Integral Equation Method for the Biharmonic Equation

SIAM Journal on Numerical Analysis, 1994
An 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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