Nonuniqueness in the integral equation formulation of the biharmonic equation in multiply connected domains

DOI10.1016/0045-7825(88)90188-0zbMath0629.73072OpenAlexW1979700560MaRDI QIDQ1094206

Ambar K. Mitra, Shuvra Das

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

zbMATH Keywords

uniquenessboundary integral equationbiharmonic equationmultiply connected domainspair of integral equationsadditional constraint equationsGreen's third identity

Mathematics Subject Classification ID

Related Items (9)

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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