A Discretization Scheme and Error Estimate for First-order Systems and Elliptic Problems
نویسندگان
چکیده
A discretization scheme applicable to the direct approximation of the velocity variable for either a rst-order system or second-order elliptic equation is proposed in this paper. The scheme is motivated by mixed nite element methods and extends the cell-centered nite diierence and the nite volume element methods to problems with discontinuous coeecients and various boundary conditions. Error estimates of order O(h 2) in certain discrete L 2-norms for both the velocity and the pressure variables can be obtained, even in the presence of discontinuous coeecients.
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