A posteriori error estimates for finite volume approximations of elliptic equations on general surfaces
In this paper, we present a residual-based a posteriori error estimate for the finite volume discretization of steady convectiondiffusionreaction equations defined on surfaces in R3 R 3 , which are often implicitly represented as level sets of smooth functions. Reliability and efficiency of the proposed a posteriori error estimator are rigorously proved. Numerical experiments are also conducted to verify the theoretical results and demonstrate the robustness of the error estimator.
a posteriori error estimates finite volume approximation pdes on surfaces