| 区域分裂法求非线性抛物方程的扩张混合元解 |
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| 引用本文： | 刘伟,胡凤珠.区域分裂法求非线性抛物方程的扩张混合元解[J].应用数学,2009,22(3). |
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| 作者姓名： | 刘伟 胡凤珠 |
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| 作者单位： | 鲁东大学数学与信息学院,山东,烟台,264025 |
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| 基金项目： | 国家自然科学基金资助项目，鲁东大学科研基金资助项目 |
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| 摘 要： | 针对非线性抛物方程,给出了全离散的扩张混合元格式,利用一个建立在非重叠型区域分裂技巧上的并行迭代法求解了最后的非线性代数方程组,证明了迭代法的收敛性并给出了最优阶的误差估计.
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| 关 键 词： | 区域分裂法 非线性抛物方程 扩张混合元 并行迭代法 |
A Domain Decomposition Method for Expanded Mixed Finite Element Approximations of Nonlinear Parabolic Equations |
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| LIU Wei,HU Feng-zhu.A Domain Decomposition Method for Expanded Mixed Finite Element Approximations of Nonlinear Parabolic Equations[J].Mathematica Applicata,2009,22(3). |
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| Authors: | LIU Wei HU Feng-zhu |
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| Abstract: | Fully discrete mixed finite element method is considered to approximate the solution of a nonlinear second-order parabolic equations. A massively parallel iterative procedure based on domain decomposition technique is presented to solve resulting nonlinear algebraic equations. The convergence of the iteration for each time step is demonstrated. Optimal-order error estimates are also derived. |
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| Keywords: | Domain decomposition method Nonlinear parabolic equations Expanded mixed finite element Parallel iterative procedure |
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