boundary point
- boundary point的基本解释
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[计] 边界点
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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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For the Riemann boundary value problems for the first order elliptic systems , we translates them to equivalent singular integral equations and proves the existence of the solution to the discussed problems under some assumptions by means of generalized analytic function theory , singular integral equation theory , contract principle or generaliezed contract principle ; For the Riemann-Hilbert boundary value problems for the first order elliptic systems , we proves the problems solvable under some assumptions by means of generalized analytic function theory , Cauchy integral formula , function theoretic approaches and fixed point theorem ; the boundary element method for the Riemann-Hilbert boundary value problems for the generalized analytic function , we obtains the boundary integral equations by means of the generalized Cauchy integral formula of the generalized analytic function , introducing Cauchy principal value integration , dispersing the boundary of the area , and we obtains the solution to the problems using the boundary conditions .
对于一阶椭圆型方程组的Riemann边值问题,是通过把它们转化为与原问题等价的奇异积分方程,利用广义解析函数理论、奇异积分方程理论、压缩原理或广义压缩原理,证明在某些假设条件下所讨论问题的解的存在性;对于一阶椭圆型方程组的Riemann-Hilbert边值问题,利用广义解析函数理论、Cauchy积分公式、函数论方法和不动点原理,证明在某些假设条件下所讨论问题的可解性;广义解析函数的Riemann-Hilbert边值问题的边界元方法是利用广义解析函数的广义Cauchy积分公式,引入Cauchy主值积分,通过对区域边界的离散化,得到边界积分方程,再利用边界条件得到问题的解。
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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。
- 更多网络解释 与boundary point相关的网络解释 [注:此内容来源于网络,仅供参考]
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boundary point:边界点
boundary operator 边缘算子 | boundary point 边界点 | boundary simplex 边界单形
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boundary point:地界点
boundary peg 地界栓钉 | boundary point 地界点 | boundary rectification 地界修正
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boundary point:界址点
界址点 boundary mark | 界址点 boundary point | 金属弹簧重力仪 metallic spring gravimeter
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boundary point:界点
"境界线网","boundary network" | "界点","boundary point" | "界标","boundary post"
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inaccessible boundary point:不可达边界点
in terms by terms 逐项地 | inaccessible boundary point 不可达边界点 | inaccessible element 不可达元素
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