NONCONFORMING IN TIME DOMAIN DECOMPOSITION METHOD FOR POROUS MEDIA APPLICATIONS

NONCONFORMING IN TIME DOMAIN DECOMPOSITION METHOD FOR POROUS MEDIA APPLICATIONS
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多孔介质应用的不合格时域分解方法

DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
P. Omnes
P. Omnes
中科院分区：
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文献类型：
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作者：
L. Halpern;C. Japhet;P. Omnes

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抽象的。设计了一种求解非均匀介质对流扩散反应问题的施瓦茨波形松弛算法。非重叠区域分解方法在时间上是全局的，因此允许在不同的子区域中使用不同的时间步长。我们使用一个不连续的Galerkin方法在时间作为子域求解器，以便有最佳的误差估计和当地的时间步进。使用时间窗以减少算法的迭代次数。对于具有广泛不同长度和异质系数的应用，我们确定了最佳非局部和优化的Robin传输条件，并考虑了小尺度域的大小。这允许在每个时间窗口中以很少的迭代来计算精确的解。二维数值结果说明了一个例子的启发，从核废料处理模拟的方法。
Abstract. We design a Schwarz waveform relaxation algorithm for solving advectiondi usion-reaction problems in heterogeneous media. The non-overlapping domain decomposition method is global in time and thus allows the use of di erent time steps in di erent subdomains. We use a discontinuous Galerkin method in time as a subdomain solver in order to have optimal error estimates and local time stepping. Time windows are used in order to reduce the number of iterations of the algorithm. For appplications with widely di ering lengths and heterogeneous coe cients, we determine optimal non-local, and optimized Robin transmission conditions, taking into account the size of the domains of small scale. This permits to compute an accurate solution with few iterations in each time window. Numerical results in 2D illustrate the method on an example inspired from nuclear waste disposal simulations.