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Improving the efficiency of FP-LAPW calculations

机译:提高FP-LAPW计算效率

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The full-potential linearized augmented-plane wave (FP-LAPW) method is well known to enable most accurate calculations of the electronic structure and magnetic properties of crystal and surfaces. The implementation of atomic forces has greatly increased its applicability, but it is still generally believed that FP-LAPW calculations require substantial higher computational effort compared to the pseudopotential plane wave (PPW) based methods. In the present paper we analyze the FP-LAPW method from a computational point of view. Starting from an existing implementation (WIEN95 code), we identified the time consuming parts and show how some of them can be formulated more efficiently. In this context also the hardware architecture plays a crucial role. The remaining computational effort is mainly determined by the setup and diagonalization of the Hamiltonian matrix. For the latter, two different iterative schemes are compared. The speed-up gained by these optimizations is compared to the runtime of the "original" version of the code, and the PPW approach. We expect that the strategies described here, can also be used to speed up other computer codes, where similar tasks must be performed.
机译:众所周知,全电位线性化增强平面波(FP-LAPW)方法能够最精确地计算晶体和表面的电子结构和磁性能。原子力的实现极大地提高了其适用性,但是仍然普遍认为,与基于伪势平面波(PPW)的方法相比,FP-LAPW计算需要大量的计算工作。在本文中,我们从计算角度分析了FP-LAPW方法。从现有的实现(WIEN95代码)开始,我们确定了耗时的部分并展示了如何更有效地制定其中的一些部分。在这种情况下,硬件体系结构也起着至关重要的作用。剩余的计算工作量主要由汉密尔顿矩阵的建立和对角线确定。对于后者,比较了两种不同的迭代方案。通过这些优化获得的提速与代码“原始”版本的运行时以及PPW方法进行了比较。我们希望这里描述的策略也可以用于加快其他计算机代码的速度,在这些代码中必须执行类似的任务。

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