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The fictitious domain method and homotopy as a new alternative for multidimensional partial differential equations in domains of arbitrary shape

机译：虚构的域方法和同型偶联方法是任意形状域中多维局部微分方程的新替代方案

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I.P. Gavrilyuk; V.L. Makarov;
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1. A generalized Ritz method for partial differential equations in domains of arbitrary geometry using global shape functions [J] . John T. Katsikadelis Engineering analysis with boundary elements . 2008,第5期

机译：使用全局形状函数的任意几何域中偏微分方程的广义Ritz方法
2. A homotopy perturbation technique for solving partial differential equations of fractional order in finite domains [J] . El-Sayed A.M.A., Elsaid A., El-Kalla I.L., Applied mathematics and computation . 2012,第17期

机译：求解有限域分数阶偏微分方程的同伦摄动技术
3. A homotopy perturbation technique for solving partial differential equations in finite domains [J] . Ahmed El-Sayed, Ibrahem El-Kalla, Ahmed Elsaid, Journal of Mathematical and Computational Science . 2012,第2期

机译：求解有限域偏微分方程的同伦摄动技术
4. Review of Discontinuous Galerkin Finite Element Methods for Partial Differential Equations on Complicated Domains [C] . Paola F. Antonietti, Andrea Cangiani, Joe Collis, LMS-EPSRC Symposium on building bridges . 2016

机译：复杂域偏微分方程的不连续Galerkin有限元方法综述
5. Numerical methods for inverse problems constrained by elliptic and parabolic partial differential equations on regular domains. [D] . Adavani, Santi Swaroop. 2008

机译：正则域上的椭圆和抛物型偏微分方程约束的反问题的数值方法。
6. Applying Discrete Homotopy Analysis Method for Solving Fractional Partial Differential Equations [O] . Figen Özpınar 2018

机译：应用离散同型分析方法求解分数偏微分方程
7. SPECTRAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS IN IRREGULAR DOMAINS: THE SPECTRAL SMOOTHED BOUNDARY METHOD ∗ [O] . Alfonso Bueno-orovio, V Íctor, M. Pérez-garcía, 2004

机译：不规则域中部分微分方程的谱方法：光谱平滑边界法*

The fictitious domain method and homotopy as a new alternative for multidimensional partial differential equations in domains of arbitrary shape

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