RT Journal Article ID 7a24065f02d9ec26 A1 Collins, J. B. A1 Estep, Donald A1 Tavener, Simon T1 A POSTERIORI ERROR ESTIMATION FOR A CUT CELL FINITE VOLUME METHOD WITH UNCERTAIN INTERFACE LOCATION JF International Journal for Uncertainty Quantification JO IJUQ YR 2015 FD 2015-10-26 VO 5 IS 5 SP 415 OP 432 K1 uncertainty quantification K1 stochastic modeling K1 spatial uncertainty K1 porous media flow AB We study a simple diffusive process in which the diffusivity is discontinuous across an interface interior to the domain. In many situations, the location of the interface is measured at a small number of locations and these measurements contain error. Thus the location of the interface and the solution itself are subject to uncertainty. Further, the location of the interface may have a strong impact on the accuracy of the solution. A Monte Carlo approach is employed which requires solving a large number of sample problems, each with a different interface location. To solve these problems, a mixed finite element cut-cell method has been developed that does not require the mesh to conform to the interface. An efficient adjoint-based a posteriori technique is used to estimate the error in a quantity of interest for each sample problem. This error has a component due to the numerical approximation of the diffusive process and a component arising from the uncertainty in the interface location. A recognition of these separate sources of error is necessary in order to construct effective adaptivity strategies. PB Begell House LK https://www.dl.begellhouse.com/journals/52034eb04b657aea,6e80c1d03916a3a4,7a24065f02d9ec26.html