Abstract
Purpose
– The purpose of this paper is to propose a parallel partition of unity method to solve the time-dependent convection-diffusion equations.
Design/methodology/approach
– This paper opted for the time-dependent convection-diffusion equations using the finite element method and the partition of unity method.
Findings
– This paper provides one efficient parallel algorithm which reaches the same accuracy as the standard Galerkin method (SGM) but saves a lot of computational time.
Originality/value
– In this paper, a parallel partition of unity method is proposed for the time-dependent convection-diffusion equations. At each time step, the authors only need to solve a series of independent local sub-problems in parallel instead of one global problem.
Subject
Applied Mathematics,Computer Science Applications,Mechanical Engineering,Mechanics of Materials
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