The chapter focuses on solving the equation in, =. The Laplace operator enters in many partial differential equations of physics, which purport to describe phenomena taking place in isotropic media. It is therefore more natural, and more convenient, to use a different method—a method that does...
Laplace方程 1. Several solutions of laplace equations and their application to the study of seepage failure; Laplace方程若干问题的解及其在渗透破坏中的应用 2. Alternating iteration method for solving the Laplace equation; 求解Laplace方程的交替迭代法 3. The existence for the solution of the Laplace...
side of this equation to the sum of fractional integrals by x and y, we then use the operational technique for the conventional right-sided Laplace transformation and its extension to generalized functions to describe a complete family of eigenfunctions and fundamental solutions of the operator ???
basic solution基本解 1.In boundary,because basic solutions contain singular term,which influences the application of multipole expansion method,but by Laplace transformation it can be reduced to exponential series.由于在边界方程基本解中,含有奇异项1/r,影响了多极展开(FMM)的应用,笔者利用拉普拉斯变换,可以...
This means that the governing partial differential equations were initially recast as some kind of Poisson's equation and the fundamental solution of Laplace's equation employed to obtain an equivalent integral formulation. The resulting domain integral was then approximated in a DRM fashion, and a ...
The method of fundamental solutions and condition number analysis for inverse problems of Laplace equationYoungD. L.TsaiC. C.ChenC. W.FanC. M.COMPUTERS AND MATHEMATICS WITH APPLICATIONSD.L. Young, C.C. Tsai, C.W. Chen, C.M. Fan, The method of fundamental solutions and condition number...
The method of approximate fundamental solutions for axisymmetric problems with Laplace operatordoi:10.1016/j.enganabound.2006.07.013LaplaceequationAxisymmetricproblemsFundamentalsolutionsInfinitedomainThe paper presents a new numerical technique for solving axisymmetric problems with Laplace operator. It is similar ...
If [Math Processing Error]f(u)=0, then the fundamental solution of the equation is constructed. If there are some restrictions on the growth order of u in the source term, the initial energy [Math Processing Error]E(0) is positive and has a super boundedness, which depends on the ...
Based on this understanding, a dual-level method of fundamental solutions (DLMFS) with self-adaptive adjustment coefficients is proposed. The core feature of the DLMFS is to use a modified fundamental solution of the Helmholtz equation to replace the original fundamental solution. The method ...
the adjacent subdomains are derived for the Stokes equation. A matrix that simultaneously solves the collocation problem on all the subdomains is formed and solved. A sensitivity study of the MFS results is performed by comparing the relative root mean square error with the reference solution obtaine...