We extend the results on minimal stabilization of Burman and Stamm[J.Sci.Comp.,33(2007),pp.183-208]to the case of the local discontinuous Galerkin methods on mixed form.The penalization term on the faces is relaxed to...We extend the results on minimal stabilization of Burman and Stamm[J.Sci.Comp.,33(2007),pp.183-208]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 illustrate the theory.展开更多
基金This project received financial support from the Swiss National Science Foundation under grant 200021−113304.
文摘We extend the results on minimal stabilization of Burman and Stamm[J.Sci.Comp.,33(2007),pp.183-208]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 illustrate the theory.
