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A truly boundary-only meshfree method for inhomogeneous problems based on recursive composite multiple reciprocity technique
Boundary particle method Recursive composite multiple reciprocity Boundary only Inhomogeneous problems
2010/10/22
This study presents a novel technique called the recursive composite multiple reciprocity method (RCMRM), to develop a truly boundary-only meshfree boundary particle method (BPM) for general inhomogen...
Investigation on the spurious eigenvalues of vibration plates by non-dimensional dynamic influence function method
Meshless Non-dimensional dynamic influence function method Plate vibration
2010/10/22
This paper makes a numerical investigation on the spurious eigenvalues problem by the
non-dimensional dynamic influence function (NDIF) method for plate vibration problems. We find
that the NDIF spu...
Numerical convergence of boundary knot method in the analysis of Helmholtz, modified Helmholtz, and convection-diffusion problems
boundary knot method radial basis function method of fundamental solution meshfree boundary elements
2010/10/22
This paper concerns a numerical study of convergence properties of the boundary knot method (BKM) applied to the solution of 2D and 3D homogeneous Helmholtz, modified Helmholtz, and convection-diffusi...
High-order fundamental and general solutions of convection-diffusion equation and their applications with boundary particle method
High-order fundamental solution High-order general solution Boundary particle method Radial basis function Meshfree Multiple reciprocity-BEM
2010/10/22
In this study, we presented the high-order fundamental solutions and general solutions of convection–diffusion equation. To demonstrate their efficacy, we applied the high-order general solutions to t...
Dual reciprocity BEM applied to transient elastodynamic problems with differential quadrature method in time
Elastodynamics Dual reciprocity BEM Differential quadrature method Time-stepping integration Lyapunov matrix equation
2010/10/22
This paper is concerned with numerical analysis of the transient elastodynamic problems by the dual reciprocity BEM (DRBEM) in space combined with the di€erential quadrature method (DQM) in time....
Coupling dual reciprocity BEM and differential quadrature method for time-dependent diffusion problems
Dual reciprocity BEM Differential quadrature method Transient diffusion Lyapunov matrix equation
2010/10/22
This paper presents the very ®rst combined application of dual reciprocity BEM (DRBEM) and di€erential quadrature (DQ) method to time-dependent di€usion problems. In this study, the DRBE...
Free vibration Analysis of Curvilinear Quadrilateral Plates by the Differential Quadrature Method
differential quadrature method vibration analysis arbitrary quadrilateral plates
2010/10/22
A methodology for applying the differential quadrature (DQ) method to the free
vibration analysis of arbitrary quadrilateral plates is developed. In our approach, the
irregular physical domain is tr...
The inverse of differential operators and an extension of Trefftz's method
The inverse of differential operators an extension of Trefftz's method
2010/3/15
The inverse of differential operators and an extension of Trefftz's method.
Simulation of Nonuniform Interconnects by Harmonic Differential Quadrature Method
Nonuniform Interconnects Harmonic Differential Quadrature Method
2010/10/22
The harmonic differential quadrature (HDQ) method is employed to simulate the nonuniform interconnects in very large scale integration and multichip modules. The HDQ method reduces
partial differenti...