Nonuniqueness in the integral equation formulation of the biharmonic equation in multiply connected domains
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Publication:1094206
DOI10.1016/0045-7825(88)90188-0zbMath0629.73072OpenAlexW1979700560MaRDI QIDQ1094206
Publication date: 1988
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0045-7825(88)90188-0
uniquenessboundary integral equationbiharmonic equationmultiply connected domainspair of integral equationsadditional constraint equationsGreen's third identity
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Why dual boundary element method is necessary? ⋮ Analytical and numerical studies for solving Steklov eigenproblems by using the boundary integral equation method/boundary element method ⋮ Revisit of the indirect boundary element method: necessary and sufficient formulation ⋮ Degenerate scales for thin elastic plates with Dirichlet boundary conditions ⋮ Indirect boundary integral equation method for the Cauchy problem of the Laplace equation ⋮ A self-regularized approach for rank-deficient systems in the BEM of 2D Laplace problems ⋮ Degenerate scale for the analysis of circular thin plate using the boundary integral equation method and boundary element methods ⋮ Derivation and analytical investigation of three direct boundary integral equations for the fundamental biharmonic problem ⋮ An alternative method for degenerate scale problems in boundary element methods for the two-dimensional Laplace equation
Cites Work
- On the numerical solution of two-dimensional potential problems by an improved boundary integral equation method
- Integral Equations without a Unique Solution can be made Useful for Solving some Plane Harmonic Problems
- The Eigenvalue Problem for a Pair of Coupled Integral Equations Arising in the Numerical Solution of Laplace’s Equation
- Integral equation methods in potential theory. I
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