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Approximation of Derivative for a Singularly Perturbed Second-Order ODE of Robin Type with Discontinuous Convection Coefficient and Source Term
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作者 R.Mythili Priyadharshini N.Ramanujam 《Numerical Mathematics(Theory,Methods and Applications)》 SCIE 2009年第1期100-118,共19页
In this paper, a singularly perturbed Robin type boundary value problem for second-order ordinary differential equation with discontinuous convection coefficient and source term is considered. A robust-layer-resolving... In this paper, a singularly perturbed Robin type boundary value problem for second-order ordinary differential equation with discontinuous convection coefficient and source term is considered. A robust-layer-resolving numerical method is proposed. An e-uniform global error estimate for the numerical solution and also to the numerical derivative are established. Numerical results are presented, which are in agreement with the theoretical predictions. 展开更多
关键词 Singular perturbation problem piecewise uniform mesh discrete derivative discontinuous convection coefficient Robin boundary conditions discontinuous source term.
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直流电阻率2.5维有限元数值模拟 被引量:8
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作者 彭艳华 柳建新 +1 位作者 刘海飞 孙丽影 《地球物理学进展》 CSCD 北大核心 2014年第4期1926-1931,共6页
从稳定电流场满足的基本微分方程出发,推导了地面点源电场电位边值问题对应的等价变分问题.用网格离散积分区域时,以四边形为最小研究单元.针对电场在电源附近衰减快,变化梯度大,数值模拟结果在电源附近位置有较大误差问题,采用边界/奇... 从稳定电流场满足的基本微分方程出发,推导了地面点源电场电位边值问题对应的等价变分问题.用网格离散积分区域时,以四边形为最小研究单元.针对电场在电源附近衰减快,变化梯度大,数值模拟结果在电源附近位置有较大误差问题,采用边界/奇异校正算法改善模拟结果在电源附近的奇异性问题,同时减少边界条件的影响,提高模拟结果精度.从波数域电位求取空间域电位,利用最优化离散波数进行反付氏变换.模型算例结果验证了该算法的可行性与有效性. 展开更多
关键词 数值模拟 最优化离散波数 边界/奇异校正
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