【摘 要】
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We introduce a Bassi-Rebay type discontinuous Galerkin(DG)method for both stationary and time-dependent third-order linear equations.This method is the firs
【机 构】
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Univ.of Massachusetts Dartmouth
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We introduce a Bassi-Rebay type discontinuous Galerkin(DG)method for both stationary and time-dependent third-order linear equations.This method is the first DG method which conserves the mass and the L2-,H1-,and H2-norms of the solution.We prove that projections of the errors are superconvergent when the polynomial degree k is even,and converge sub-optimally,but sharply,with order k when it is odd.(Joint work with Yanlai Chen and Bernardo Cockburn.)
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