hp-version discontinuous Galerkin methods for hyperbolic conservation laws: A parallel adaptive strategy

This paper describes a parallel algorithm based on discontinuous hp-finite element approximations of linear, scalar, hyperbolic conservation laws. The paper focuseson the development of an elTcctiveparallel adaptive strategy for such problems. Numerical experimeOlssuggest that these techniques are highly parallelizable and exponentially convergent, thereby yielding cflicien.:yIllany times superior to conventional schemes for hyperbolic problems.