Schwarz Domain Decomposition Preconditioners for Plane Wave Discontinuous Galerkin Methods

机译：平面波不连续Galerkin方法的Schwarz域分解预处理器

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We construct Schwarz domain decomposition preconditioners for plane wave discontinuous Galerkin methods for Helmholtz boundary value problems. In particular, we consider additive and multiplicative non-overlapping Schwarz methods. Numerical tests show good performance of these preconditioners when solving the linear system of equations with GMRES.

机译：我们针对Helmholtz边值问题的平面波不连续Galerkin方法构造Schwarz域分解预处理器。特别是，我们考虑了加法和乘法非重叠Schwarz方法。数值测试表明，使用GMRES求解线性方程组时，这些预处理器具有良好的性能。

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《European conference on numberical mathematiocs and advanced applications》|2015年|557-572|共16页
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Paola F. Antonietti; Ilaria Perugia; Davide Zaliani;
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1. Overlapping Schwarz domain decomposition preconditioners for the local discontinuous Galerkin method for elliptic problems [J] . A.T.BARKER, S.C.BRENNER, L.-Y.SUNG Journal of numerical mathematics . 2011,第3期

机译：椭圆问题的局部不连续Galerkin方法的重叠Schwarz域分解预处理器
2. SCHWARZ DOMAIN DECOMPOSITION PRECONDITIONERS FOR DISCONTINUOUS GALERKIN APPROXIMATIONS OF ELLIPTIC PROBLEMS: NON-OVERLAPPING CASE [J] . PAOLA F. ANTONIETTI, BLANCA AYUSO RAIRO. Mathematical Modelling and Numerical Analysis. = Modelisation Mathematique et Analyse Numerique . 2007,第1期

机译：椭圆问题的不连续伽勒金逼近的SCHWARZ域分解前置条件：不重叠的情况
3. A domain decomposition method for discontinuous Galerkin discretizations of Helmholtz problems with plane waves and Lagrange multipliers [J] . Charbel Farhat, Radek Tezaur, Jari Toivanen International Journal for Numerical Methods in Engineering . 2009,第13期

机译：具有平面波和拉格朗日乘子的亥姆霍兹问题的不连续Galerkin离散化的域分解方法
4. Schwarz Domain Decomposition Preconditioners for Plane Wave Discontinuous Galerkin Methods [C] . Paola F. Antonietti, Ilaria Perugia, Davide Zaliani European conference on numberical mathematiocs and advanced applications . 2015

机译：Schwarz域分解预处理器，用于平面波不连续Galerkin方法
5. Schur's complement and discontinuous Galerkin methods for domain decomposition solvers and plasticity and interface evolution analyses. [D] . Kulkarni, Deepak V. 2005

机译：舒尔的补充和不连续Galerkin方法用于域分解求解器以及可塑性和界面演化分析。
6. A massively parallel nonoverlapping additive Schwarz method for discontinuous Galerkin discretization of elliptic problems [O] . Maksymilian Dryja, Piotr Krzyżanowski -1

机译：椭圆问题的不连续Galerkin离散的大规模并行不重叠加性Schwarz方法
7. Schwarz domain decomposition preconditioners for plane wave discontinuous galerkin methods [O] . Antonietti Paola F, Perugia Ilaria, Davide Zaliani 2015

机译：平面波不连续galerkin方法的Schwarz域分解预处理器

Schwarz Domain Decomposition Preconditioners for Plane Wave Discontinuous Galerkin Methods

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