Numerical Heat Transfer Part A Applications · 2000 · 16 citations · 0 references
EngineeringComputational EngineeringMechanical EngineeringComputational Heat TransferHeat TransferThermal AnalysisFinite Difference MethodsFinite Element FormulationHeat ConductionHeat Transfer AnalysisHeat Transfer ModelingThermal SimulationDomain DecompositionFinite Difference SchemesGaussian EliminationParallel Gaussian EliminationRichardson IterationThree-dimensional Heat ConductionThree-dimensional Heat TransferTransport Equations
W e develop a finite element?finite difference method for solving three-dimensional heat transport equations in a double-layered thin film with microscale thickness. The implicit scheme is solved by using a preconditioned Richardson iteration, so that only two block tridiagonal linear systems with unknowns at the interface are solved for each iteration. W e then apply a parallel Gaussian elimination procedure to solve these two block tridiagonal linear systems and develop a domain decomposition algorithm for thermal analysis of the double-layered thin film. Numerical results for thermal analysis of a gold layer on a chromium padding layer are obtained.