6533b85dfe1ef96bd12be64d

RESEARCH PRODUCT

A boundary min-max principle as a tool for boundary element formulations

C. Polizzotto

subject

Applied MathematicsMathematical analysisGeneral EngineeringMixed boundary conditionSingular boundary methodBoundary knot methodRobin boundary conditionComputational MathematicsFree boundary problemBoundary value problemCalculus of variationsBoundary element methodAnalysisMathematics

description

Abstract A min-max principle for elastic solids, expressed in terms of the unknown boundary displacements and tractions, is presented. It is shown that its Euler-Lagrange equations coincide with the classical boundary integral equations for displacements and for tractions. This principle constitutes a suitable starting point for a symmetric sign-definite formulation of the boundary element method.

https://doi.org/10.1016/0955-7997(91)90057-z