The Discontinuous Galerkin Method with Diffusion
نویسندگان
چکیده
We propose a way of extending the discontinuous Galerkin method from pure hyperbolic equations to convection-dominated equations with an 0(h) diffusion term. The resulting method is explicit and can be applied with polynomials of degree n > 1 . The extended method satisfies the same 0(hn+ll2) error estimate previously established for the discontinuous Galerkin method as applied to hyperbolic problems. Numerical results are provided.
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