ideal boundary
- ideal boundary的基本解释
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理想边界
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Compared with the initial value problems of scalar conservation laws with smooth flux function, the global weak entropy solutions for the initial-boundary value problems of scalar conservation laws with weak discontinuous flux function include the following new interaction types: a rarefaction wave collides with the boundary and is absorbed compltetely or partially by the boundary; a rarefaction wave collides with the boundary and the boundary will reflect a contact or non-contact shock wave; a contact or non-contact shock wave collides with the boundary and is absorbed by the boundary; a contact or non-contact shock wave collides with the boundary and a new non-contact shock will rebound from the boundary simultaneously or later.
与具有光滑流函数的单个守恒律的初始值问题相比,具有弱间断流函数的单个守恒律初边值问题的整体弱熵解中包括下列新的相互作用类型:稀疏波碰到边界并被边界部分或全部吸收;稀疏波与边界相撞,边界反射出一个接触或非接触激波;接触或非接触激波碰到边界并被边界吸收;接触或非接触激波与边界相撞,边界同时或稍后反射出一个新的非接触激波。
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The first chapter, main instead " duo-ring " condition of " every maximal left ideal is GW-ideal " condition,study strongly regularities of GP-V-ring on this condition.lt is shown that (1) R is strongly regular iff R is left GP-V-ring whose maximal left ideals are GW-ideal.(2)R is strongly regular iff R is left GP-V-ring whose maximal right ideals are GW-ideal. The second chapter, generalize some results of GP-V-ring to GP-V-ring, discuss regularity of GP-V-ring.It is shown that (1) R is left self-injective regular with non-zero socle iff R is left GP-V -ring with Soc = Soc and R contains an injective maximal left ideal.(2)R is regular ring and every maximal essential left ideal is ideal iff R is left GP-injective left GP-V -ring and every maximal essential left ideal is ideal.
第一章主要将"duo-环"条件替换成"每一极大左理想是GW-理想"条件,研究在此条件下,GP-V-环的强正则性,证明了:(1)R是强正则环当且仅当R是左GP-V-环且R的每一极大左理想是广义弱理想;(2)R是强正则环当且仅当R是左GP-V-环且R的每一极大右理想是广义弱理想,第二章,主要将GP-V-环上一些结果推广到GP-V′-环上,讨论GP-V′-环的正则性,证明了:(1)R是左自内射正则环且Soc≠0当且仅当R是包含内射极大左理想的GP-V′-环,且Soc=Soc;(2)R是正则环且每一极大本质左理想是理想当且仅当R是左GP-内射的左GP-V′-环且每一极大本质左理想是理想。
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The result shows that the mixed boundary condition can greatly reduce the calculation area without affecting accuracy of the solution.It is followed by the higher accuracy of Dirichlet boundary condition which makes the boundary error greater when measured points is near the boundary, so we must take a sufficiently large border region.The homogeneous boundary condition has relatively large error, but the use of non-triangle poles devices makes apparent resistivity calculation error become small, because of elimination of the effect on potential difference for the infinite boundary. In inversion, in order to save computing time, homogeneous boundary conditions are often used to perform finite element forward calculation.
结果表明,混合边界条件精度最高,可大大缩小求解区域而不影响计算精度,其次是Dirichlet边界条件精度较高,但测点越靠边界误差会越大,必须取足够大的边界区域,齐次边界条件的误差比较大,但如果采用非二极装置,通过电位差计算得到的视电阻率,由于无穷远边界对电位差的影响基本消除,视电阻率计算误差与混合边界条件下的接近,在反演中,为了节省计算时间,经常使用齐次边界条件进行有限元正演。
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ideal boundary:理想边界
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