We consider an exponentially fitted discontinuous Galerkin method for advection dominated problems and propose a block solver for the resulting linear systems. In the case of strong advection the solver is robust with respect to the advection direction and the number of unknowns.
Ayuso de Dios, B., Lombardi, A., Pietra, P., Zikatanov, L. (2013). A block solver for the exponentially fitted IIPG--0 method. In Domain decomposition methods in science and engineering XX (pp.239-247). Springer, Heidelberg [10.1007/978-3-642-35275-1_27].
A block solver for the exponentially fitted IIPG--0 method
Ayuso de Dios, B
;
2013
Abstract
We consider an exponentially fitted discontinuous Galerkin method for advection dominated problems and propose a block solver for the resulting linear systems. In the case of strong advection the solver is robust with respect to the advection direction and the number of unknowns.
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