exterior boundary problem
- exterior boundary problem的基本解释
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外边界问题
- 相似词
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In the last chap-ter,the natural integral equation and natural boundary element method forharmonic problem on exterior elliptic domain are introduced.Then,based onthis,the natural boundary reduction method for a kind of exterior problem ofanisotropic constant coefficients elliptic equation is discussed, the natural inte-gral equation and its solving method on circular boundary and elliptic bound-ary are obtained.These results can be directly applied in coupled methodand DDM for exterior boundary value problem.
最后,讨论了椭圆外区域调和问题的自然积分算子即D-N算子及自然边界元方法,并基于此研究了一类各向异性常系数椭圆型方程外问题的自然边界归化方法,首次得到其在圆周边界及椭圆边界上的自然积分方程及其求解方法,并将这些结果直接应用于外边值问题的耦合算法。
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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 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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exterior boundary problem:外边界问题
exterior approximation 外逼近 | exterior boundary problem 外边界问题 | exterior derivative 外导数