偏微分方程的并行算法

內(nèi)容概要

偏微分方程的數(shù)值解法對于許多技術(shù)的發(fā)展都有著重要意義，而求偏微分方程的數(shù)值解已經(jīng)成為并行計(jì)算機(jī)硬件和軟件發(fā)展的目標(biāo)；并行計(jì)算機(jī)性能的大大提高，使得以前很難處理的問題變得可以常規(guī)計(jì)算。    1997年6月9日～13日，IMA舉行了一場關(guān)于偏微分方程的并行解的專題學(xué)術(shù)討論會(huì)，本卷收錄的論文即基于會(huì)上所作的演講，其中主要是關(guān)于新的近似方法和能利用并行計(jì)算機(jī)的求解技術(shù)的發(fā)展及評述。本書論題主要包括區(qū)域分解方法、并行多重網(wǎng)格方法、向前跟蹤方法、稀疏矩陣技巧、自適應(yīng)方法、虛域方法及時(shí)間和空間離散方法。本書還討論了各種方法分別在流體動(dòng)力學(xué)、輻射傳輸、固體力學(xué)及半導(dǎo)體仿真中的應(yīng)用。

書籍目錄

ForewordPrefaceIterative substructuring methods for spectral element discretizations of elliptic systems in three dimensionsParallel linear stationary iterative methodsAdaptive finite element methods for domain decomposition on nonmatching gridsSolution of multi-dimensional radiative transfer problems on parallel computersA Lagrange multiplier/fictitious domain/collocation method for solid-liquid flowsMultidimensional parallel spectral solver for Navier-Stokes equationsAn overlapping Schwarz method for spectral element simulation of three-dimensional incompressible flowsOverlapping and multilevel Schwarz methods for vector valued elliptic problems in three dimensionsFront tracking and operator splitting for nonlinear degenerate convection-diffusion equationsScalable Poisson and VLSI biharmonic solversProspects for CFD on petaflops systemsAdditive Schwarz for anisotropic elliptic problemsList of participants

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