| 1. | 1 . meshless local petrov - galerkin method ( mlpg ) is developed for solving the raidative heat transfer problems in homogeneous medium
使用该方法分别求解了一维和二维半透明介质内的辐射换热问题。 |
| 2. | According to the assumption that porous iron sample has transformed to homogeneous medium under a given shock pressure , a morse - type potential is used to simulate hugoniot curve and shock temperatures of porous iron by md method
为了研究多孔铁样品在冲击压缩后系统温度均匀性的问题，本文还采用anderson的对势对多孔铁冲击压缩线进行了分子动力学模拟。 |
| 3. | From the mathematical point of view , the difficulty stems from the inability to get , with the traditional global transform like the fourier transform , a simplified differential equation that governs the evolution of the basic function through the non - homogeneous medium
这些基本函数的全局特性使其在非均匀空间的演化变得十分复杂，从而影响了传统方法的波场外推精度及效率。 |
| 4. | Scattering of sh - wave by collinear cracks of any limited length originating diametrecally at the boundary of circular lining which has cracks in homogeneous medium is investigated , and solution of dynamic stress intensity factors in mode at crack tip are obtained
按“契合”方式并采用裂纹切割技术构造含径向裂纹圆环形衬砌对sh波散射的模型，利用green函数将问题归结为求解第一类fredholm积分方程组。 |
| 5. | The application of transverse resonance theory is firstly extended further from plane homogeneous medium to the inhomogeneous spatial region by primarily combining the current martcatili method . then the simplex method is used to calculate the source point " s best position , frequency and the correspond wavenumber of the region
重点结合已有的marcatili法，首次将横向谐振法从平面均匀分层介质中的应用进一步延伸到模拟地壳波导的三维非均匀空间区域中，再利用单纯形法，确定源点在该区域的最佳位置、最佳频率和对应的传播常数。 |
| 6. | The green ' s function for point - source excitation is also very simple in homogeneous media . however , since global basic functions like plane waves occupy the entire domain and point source excitation radiates to all directions , their evolution through a non - homogeneous medium constitutes a problem that may become at least as difficult to solve as that of the propagation of the total field
例如dirac函数(点源)在空间域可以有精确的定位，但在传播方向上(波数域)却毫无确定性；而平面波(波数域的基本解)则具有精确的传播方向，但其波前却是无限延伸的，不具任何空间局域性。 |
| 7. | The various medium parameters have different influence on the reflection of the laser pulse . based on the diffusion approximation theory , the boundary condition of semi - infinite homogeneous media , the influence of the absorption a , the scattering s and the anisotropy coefficient g on the ultra short laser pulse of different pulse - width and shapes has been researched
论文对超短脉冲在混浊介质中的传输进行了理论分析和数值模拟，并在不同脉宽的高斯脉冲和方波脉冲入射到混浊介质的漫反射、漫透射脉冲强度和形状进行了理论分析和数值模拟，得到了它们与各光学特性参数的关系曲线。 |
| 8. | Essential to their utility is the requirement that the evolution of the basic functions through the propagation environment constitutes a simplified problem with an exact or approximate closed form solution to the original wave equation . the evolution of a spatial fourier harmonic through a homogeneous medium is governed by a reduced wave equation , obtained by applying the fourier transform to the helmholtz equation , with a simple and well - known solution - the plane wave
这些方法均采用一组具有全局特性的基本函数对波场进行分解，如占据整个空间的富氏调谐函数或充满各个方向的dirac函数(点源) ，并通过求解基本函数满足波动方程的精确解或近似解来达到波场外推的目的。 |
