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首页> 外文期刊>Journal of Computational Physics >Stellar surface as low-rank modification in iterative methods for binary neutron stars
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Stellar surface as low-rank modification in iterative methods for binary neutron stars

机译:恒星表面作为二元中子恒星迭代方法的低秩修改

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Abstract We present a new multidomain spectral method for the treatment of non-spherical stellar surfaces in iterative methods for binary neutron stars. A stellar surface changes throughout the course of an iterative solution, potentially stalling the convergence. Our method affords low-complexity updates of the relevant subdomain preconditioners, thereby avoiding such stalling. Unlike current collocation (or nodal) approaches for treating surfaces (which rely on coordinate transformations to ensure that stellar surfaces arise at subdomain boundaries), our approach requires no regridding or nontrivial Jacobians. For polytropes with an equation of state specified by an integer polytropic index, our method delivers exponential accuracy with increased truncation, although for “stiff” equations of state (e.g. fractional) it suffers from the same accuracy loss as current methods. We have presented an outline of our approach before, but here present details with numerical tests. ]]>
机译:<![cdata [ Abstract 我们提出了一种新的多域光谱方法,用于在二元中子恒星迭代方法中处理非球形恒星表面的新多媒体光谱法。在迭代解决方案的过程中,恒星表面改变,可能会停止收敛。我们的方法提供了相关子域预处理器的低复杂性更新,从而避免了这种停滞。与用于处理表面的电流搭配(或节点)方法(依赖于坐标转换,以确保恒星表面在子地域边界处出现),我们的方法不需要遗迹或非遗传雅各比人。对于具有由整数多细胞指数指定的状态等式的多条多条,我们的方法通过增加的截断递增指数精度,尽管对于状态的“刚性”方程(例如,分数),它受到当前方法的遭受相同的精度损失。我们之前提出了我们的方法的概述,但这里提出了具有数值测试的细节。 ]]>

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