Time-splitting methods for advection-diffusion-reaction equations arising in contaminant transport
ICIAM 91 Proceedings of the second international conference on Industrial and applied mathematics
SIAM Journal on Numerical Analysis
Computational Differential Equations
Computational Differential Equations
Scientific computing and applications
Generalized Green's Functions and the Effective Domain of Influence
SIAM Journal on Scientific Computing
Journal of Computational Physics
An A Posteriori-A Priori Analysis of Multiscale Operator Splitting
SIAM Journal on Numerical Analysis
SIAM Journal on Numerical Analysis
Multiphysics simulations: Challenges and opportunities
International Journal of High Performance Computing Applications
Hi-index | 0.00 |
We consider the accuracy of an operator decomposition finite element method for a transient conjugate heat transfer problem consisting of two materials coupled through a common boundary. We derive accurate a posteriori error estimates that account for the transfer of error between components of the operator decomposition method as well as the errors in solving the iterative system. We address a loss of order of convergence that results from the decomposition, and show that the order of convergence is limited by the accuracy of the transferred gradient information. We extend a boundary flux recovery method to transient problems and use it to regain the expected order of accuracy in an efficient manner. In addition, we use the a posteriori error estimates to adaptively compute the recovered boundary flux only within the domain of dependence for a quantity of interest.