A comparative study of three systems of boundary integral equations in the potential theory

机译：潜在理论中三个边界整体方程系统的对比研究

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A numerical study of Laplace equation solution by the direct BEM in 2D is presented. The following three basic systems of BIEs: the conventional BIE of potential, the first kind symmetric BIB system and the second kind BIE system, are compared. Error behaviour along the boundary and error convergence in L{sub}2 and maximum norms for h-refinements of BEM meshes are studied and discussed.

机译：提出了2D中直接BEM的拉普拉斯方程解决方案的数值研究。比较以下三个基本的偏爱系统：比较传统的潜力，第一类对称围兜系统和第二种BIE系统。研究并讨论了L {Sub} 2中的边界和误差收敛的错误行为，并讨论了BEM网格的H-Prefinement的最大规范。

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《IUTAM/IACM/IABEM Symposium on Advanced Mathematical and Computational Mechanics Aspects of the Boundary Element Method》|2001年||共17页
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Roman Vodicka; Vladislav Mantic;
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中图分类 O34-53;
关键词
Boundary integral equation; The first kind symmetric BIE system; The second king BEM system; Boundary element method; Direct BEM; Symmetric Galerkin BEM;

机译：边界积分方程;第一类对称抄袭系统;第二个王BEM系统;边界元法;直接BEM;对称Galerkin BEM;

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2. ON SOLVABILITY OF BOUNDARY INTEGRAL EQUATIONS OF POTENTIAL THEORY FOR A MULTIDIMENSIONAL CUSP DOMAIN [J] . V. Mazya, S. Poborchi Journal of Mathematical Sciences . 2010,第3期

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3. A fast spectral Galerkin method for hypersingular boundary integral equations in potential theory [J] . Fata SN, Gray LJ Computational Mechanics: Solids, Fluids, Fracture Transport Phenomena and Variational Methods . 2009,第2期

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4. A comparative study of three systems of boundary integral equations in the potential theory [C] . Roman Vodicka, Vladislav Mantic IUTAM/IACM/IABEM Symposium on Advanced Mathematical and Computational Mechanics Aspects of the Boundary Element Method . 2001

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5. Layer potentials and boundary value problems for parabolic lame systems of elasticity and a nonstationary linearized system of Navier-Stokes equations in Lipschitz cylinders [D] . SHEN, ZHONGWEI 1989

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6. The boundary integral theory for slow and rapid curved solid/liquid interfaces propagating into binary systems [O] . Peter K. Galenko, Dmitri V. Alexandrov, Ekaterina A. Titova -1

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A comparative study of three systems of boundary integral equations in the potential theory

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