Singular boundary method using time-dependent fundamental solution for diffusion problems

来源 :第7届Trefftz工程计算方法(ICTM2015)暨第3届基本解工程应用方法(MFS) | 被引量 : 0次 | 上传用户：ww337799

【摘要】

：

　　This paper documents the first attempt to apply the singular boundary method(SBM)with time-dependent fundamental solution to transient diffusion equations.A

【作者】

：

Wen Chen Fajie Wang

【机构】

：

StateKeyLaboratoryofHydrology-WaterResourcesandHydraulicEngineering,InternationalCenterforSimulation

【出处】

：

第7届Trefftz工程计算方法(ICTM2015)暨第3届基本解工程应用方法(MFS)

【发表日期】

：

2015年10期

【关键词】

：

Singular boundary method Time-dependent fundamental solutions Meshless boundary-

下载到本地 , 更方便阅读

下载此文赞助VIP

声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架

论文部分内容阅读

　　This paper documents the first attempt to apply the singular boundary method(SBM)with time-dependent fundamental solution to transient diffusion equations.An inverse interpolation technique is introduced to determine the origin intensity factor of the SBM.The scheme is mathematically simple,easy-to-program,truly boundary-only,free of integration and mesh.We also find explicit empirical formulas to directly evaluate the origin intensity factor which further improve the efficiency and accuracy of the present scheme.Several examples are provided to test time-dependent SBM strategy.The numerical results clearly demonstrate its great potential.

其他文献

Node-based Smoothed Point Interpolation Method With Shape Function Based Gaussian Basis Functions

　　A node based radial point interpolation method(NS-RPIM)has recently developed for heat transfer problem and solid mechanic problem.In this method,shape func

会议

A New Scheme for the Solution of Reaction Diffusion and Wave Propagation Problems

会议

Green's-function-based-finite element analysis of homogeneous fully plane anisotropic elastic b

　　In the paper,a hybrid polygonal element based on anisotropic Greens functions was developed for solving fully anisotropic elastic materials.In the present h

会议

The Null Field and the Interior Field Methods For Mixed Types of Boundary Conditions of Laplace'

　　The particular solutions(PS)and fundamental solutions(FS)in polar coordinates can be found in many textbooks,but with much less coverage in elliptic coordin

会议

Physics-based time-space RBFs for dynamic interpolation

　　This paper introduces the physics-based time-space RBFs for dynamic interpolation,which have potential to be used in data processing and reconstruction of m

会议

Time-dependent fundamental solutionsKernel radial basis functionDynamic interp

Inverse heat conduction in functionally graded media by finite integration method

　　Based on the recently developed Finite Integration Method(FIM)for solving one dimensional ordinary and partial differential equations,the present work exten

会议

Eigenvalue computation of acoustic wave problems using fundamental solution-based hybrid finite elem

　　A new method coupling the fictitious external excitation and the fundamental solution-based hybrid finite element method involving element boundary integral

会议

A Positive-Bounded Explicit Finite-Difference Scheme for Simulating Complex Biofilm System

　　A positive-bounded explicit finite-difference method is presented to approximate the solutions of a biological system that describes the interaction between

会议

The Localized Method of Approximated Particular Solutions for Solving Incompressible Navier-Stokes E

　　This paper will focus on demonstrating that the Localized Method of Approximated Particular Solutions(LMAPS)is a stable,accurate tool for simulating multidi

会议

Comparison between Analytic and Numerical Method for Dynamic Analyses of Fluid-saturated Porous Half

　　Based on the Porous Media Theory(PMT)presented by de Boer,a mathematical model of a fluid-saturated porous elastic half-plane is established firstly,in whic

会议

Singular boundary method using time-dependent fundamental solution for diffusion problems

其他学术论文