Boundary Element (Integral) Solutions to Heat Conduction Problems

摘要

This study discusses the analytical and implementational difficulties associated with transient scalar boundary element methods. The fundamental solutions to steady and transient heat conduction problems are derived from first principles. Their implementation in the solutions to seven representative heat conduction problems is detailed. Keywords: boundary value problems; heat conduction problems; boundary element; first principles; Poisson Equation; Helmholtz Equation.