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A Review of Residual Distribution Schemes for Hyperbolic and Parabolic Problems:The July 2010 State of the Art

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摘要 We describe and review non oscillatory residual distribution schemes that are rather natural extension of high order finite volume schemes when a special emphasis is put on the structure of the computational stencil.We provide their connections with standard stabilized finite element and discontinuous Galerkin schemes,show that their are really non oscillatory.We also discuss the extension to these methods to parabolic problems.We also draw some research perspectives.
作者 Remi Abgrall
机构地区 Team Bacchus
出处 《Communications in Computational Physics》 SCIE 2012年第4期1043-1080,共38页 计算物理通讯(英文)
基金 The author has been supported by the FP7 Advanced Grant#226316“ADDECCO”.The help of Mario Richiuto(INRIA)and A.Larat(now CNRS researcher at Ecole Centrale de Paris,France)are warmly acknowledged.
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