Interval boundary element method in the presence of uncertain boundary conditions, integration errors, and truncation errors

DOI10.1016/j.enganabound.2008.08.006zbMath1244.65213OpenAlexW2060036561MaRDI QIDQ443452

Rafi L. Muhanna, Bart F. Zalewski, Robert L. Mullen

Publication date: 7 August 2012

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2008.08.006

zbMATH Keywords

boundary element methodinterval analysistruncation errorintegration errorinterval boundary element methodKrawczyk iterationuncertain boundary conditions

Mathematics Subject Classification ID

General methods in interval analysis (65G40) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (5)

Peridynamics simulation of shotcrete lining damage characteristics under freeze-thaw cycles in cold region tunnels ⋮ Interval arithmetic in modeling and solving Laplace's equation problems with uncertainly defined boundary shape ⋮ The strategy of modeling and solving the problems described by Laplace's equation with uncertainly defined boundary shape and boundary conditions ⋮ Worst case bounds on the point-wise discretization error in boundary element method for the elasticity problem ⋮ Solving interval systems of equations obtained during the numerical solution of boundary value problems

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