Direct and indirect boundary element methods for solving the heat conduction problem

DOI10.1016/0045-7825(85)90049-0zbMath0561.73100OpenAlexW2081848819MaRDI QIDQ2266629

G. Athanasiadis

Publication date: 1985

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(85)90049-0

zbMATH Keywords

Dirichlet problemsingularitiesboundary element methodNeumann problemindirect methodHermitian polynomialsGreen's third identitystationary heat conduction problemconstant, linear, quadratic or cubic polynomialsdirect integral equationsFredholm integral equations of the first or second kindKupradze's functional equation

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Dynamical problems in solid mechanics (74H99) Elastic materials (74B99) Numerical and other methods in solid mechanics (74S99)

Related Items (4)

Numerical comparison of two boundary element methods for plane harmonic functions ⋮ A mixed surface integral formulation for frequency-dependent inductance calculation of 3D interconnects ⋮ Numerical investigations of direct and indirect integral equations for solving the heat conduction problem ⋮ Stability of the multiple reciprocity method for transient heat conduction

Cites Work

• A review of some integral equations for solving the Saint-Venant torsion problem
• The use of fundamental Green's functions for the solution of problems of heat conduction in anisotropic media
• [https://portal.mardi4nfdi.de/wiki/Publication:3960276 Berechnung von W�rmespannungen in Scheiben infolge station�rer Temperaturfelder mit Hilfe der Integralgleichungsmethode;Determination of thermal stresses in disks with the boundary element method]
• Eine Variante zur Integralgleichung von Windisch für das Torsionsproblem^f1
• Über numerische Verfahren der Potential‐ und der Elastizitätstheorie
• A method of solution for certain problems of transient heat conduction
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