A Discontinuous Galerkin Method for Higher-Order Differential Equations Applied to the Wave Equation
We propose a new discontinuous finite element method for higher-order initial value problems where the finite element solution exhibits an optimal convergence rate in the L2- norm. We further show that the q-degree discontinuous solution of a differential equation of order m and its first (m-1)-deri...
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Virginia Tech
2014
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| Online Access: | http://hdl.handle.net/10919/26454 http://scholar.lib.vt.edu/theses/available/etd-03182008-143719/ |