Local Discontinuous Galerkin Method for Diffusion Equations with Reduced Stabilization
نویسندگان
چکیده
We extend the results on minimal stabilization of Burman and Stamm (”Minimal stabilization of discontinuous Galerkin finite element methods for hyperbolic problems”, J. Sci. Comp., DOI: 10.1007/s10915-007-9149-5) to the case of the local discontinuous Galerkin methods on mixed form. The penalization term on the faces is relaxed to act only on a part of the polynomial spectrum. Stability in the form of a discrete inf-sup condition is proved and optimal convergence follows. Some numerical examples using high order approximation spaces illustrates the theory. Local discontinuous Galerkin h-FEM, Interior penalty, Diffusion equation.
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