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Scope & Themes

Plenary Speakers

Ismael Herrera

   Unified theory of differential operators acting on discontinuous functions and of matrices acting on discontinuous vectors


Andreas Karageorghis

   The MFS for inverse problems


Božidar Šarler

   RBF based solution framework for solving multiphysics and multiscale problems


Robert Schaback

   Kernel-based meshless methods for solving PDEs


Zhenhan Yao

   Some knowledgegained from my 30 years investigation on boundary element methods


Andrzej Zieliński   [slide]

   Miscellaneous open problems in the Regular Boundary Collocation approach

 

Invited and Contributed Speakers

Carlos J. S. Alves

   The connection between MFS and RBF interpolation


Julieta António

   The Method of Fundamental Solutions Used to Simulate Sound Wave Propagation Inside a Sound Absorbent Enclosed Space


Onur Atak

   On the use of hybrid FE-WB methods for efficient vehicle interior cavity acoustic analysis


Imran Aziz

   A quadrature rule for numerical integration based on Haar wavelets and hybrid functions for multi-dimensional highly oscillatory integrals


Cheng-Tzong Chen

   New estimation technique of the optimal source points location in the method of fundamental solutions for multi-connected problem


Ching-Shyang Chen

   The method of fundamental solutions verse the method of particular solutions


Hsin-Fang Chan

   The Modified Collocation Trefftz Method and Exponentially Convergent Scalar Homotopy Algorithm for the Inverse Boundary Determination Problem


Yi-Ling Chan

   Interpolation Techniques Based on Local Radial Basis Function Differential Quadrature Method


I-Lin Chen

   Interaction of water waves with vertical cylinder using the method of fundamental solutions


Tzu-Fan Chen

   The Local Radial Basis Function Differential Quadrature Method for 1D Shallow Water Equations


Yung-Wei Chen

   Numerical simulation of the two-dimensional sloshing problem using a multi-scaling Trefftz method


A.H.-D. Cheng  [slide]

   Multiquadric and Its Shape Parameter


Shih-Chung Chiang

   A Semi-Discretized Numerical Scheme for the Solution of a Class of Singular Integro-Differential Equations


Michał Ciałkowski

   Solution of inverse design problem of cooling of annulus by the method of fundamental solutions


Boyang Ding

   The solution of the dynamic-coupling partial differential equations with decomposition of a generalized function


Ney Augusto Dumont

   Hybrid Finite Elements for Strain Gradient Elasticity: Theory and Patch Tests


A. Fili

   Coupling three-field and meshless mixed Galerkin methods using radial basis function to solve parabolic equation


Wataru Fujisaki

   Consideration on effectiveness of the MFS to linear notch mechanics


Ryosuke Fujiwara

   Energy derivative valuation using radial basis function


Csaba Gáspár

   Regularization techniques for the method of fundamental solutions


Bert Van Genechten  [slide]

   An efficient Wave Based Method for solving Helmholtz problems in three-dimensional bounded domains

Amin GhannadiAsl

   A wavelet-Galerkin boundary element method for the 2D Helmholtz problem

   Application of indirect Trefftz boundary method in solving the Helmholtz equation in 2D finite domain


Krzysztof Grysa

   Indirect Trefftz method in the non-stationary problem


Meng-Huang Gu

  The Eulerian-Lagrangian method of fundamental solutions for the hyperbolic system problem


Y. C. Hon

   A localized direct meshless method for ill-posed inverse problems


Hong-Ki Hong

   Clifford-valued boundary methods for anisotropic vector potential problems


Tzyy-Leng Horng

   Fast Chebyshev pseudospectral Poisson solver for all kinds of boundary conditions via diagonalization


Chien-Chang Hsiang

   2D Shallow Water Equations by Localized Meshless Methods


Chien-Hsiung Hsiao

   The singularity method: On the motion of a rotating sphere in unsteady Stokes flows


Yin-Hsiang Hsu

   Scattering problem of shallow-circular canyon subject to SH wave by using the null-field boundary integral equation method


Chieh-Sen Huang

   A locally conservative streamline method for a model two-phase flow problem in a one-dimensional porous medium


Yi-Heng Huang

   Local Radial Basis Function-based Differential Quadrature Method for 2-D Free Surface Problem


Siraj-ul-Islam

   A quadrature rule for numerical integration based on Haar wavelets and hybrid functions


Tongsong Jiang

   A new numerical method of particular solutions for one-dimensional time-dependent Schrodinger equations

   A new numerical method for one-dimensional time-dependent Schrodinger equation using radial basis functions


Jan Adam Kołodziej

   Application of the method of fundamental solutions for inverse problem of determination of the Biot number


Vladimír Kompiš

   Parallel computational models for composites reinforced by short fibers


Cheng-Yu Ku

   Radial Basis Function Methods Incorporated with a Manifold-Based Exponentially Convergent Algorithm for Solving Partial Differential Equations


Chung-Lun Kuo

   A collocation Trefftz method with a post-conditioner for solving 2D Helmholtz problems in arbitrary domains with high wave numbers


Shyh-Rong Kuo

   Torsionally loaded bucking of circular plates with single eccentric hole using the Trefftz method


Jia-Wei Lee

   Resonance and focusing of an elliptical harbor by using the null-field BIEM


Ming-Gong Lee

   Corner and crack singularity of different types of boundary conditions for linear elastostatics and their numerical solutions


Wei-Ming Lee

   The collocation Trefftz method for acoustic scattering by multiple elliptical cylinders


Wen-Che Lee

   True and spurious eigensolutions of an elliptical plate by using the imaginary-part method of fundamental solutions


Ying-Te Lee

   Anti-plane shear problems containing several elliptical holes and/or inclusions


Vitor Manuel Azevedo Leitão

   Flexible local approximations using fundamental solutions


Hong-Huei Li

   Solving the Direct and Inverse Stokes Problems by the Boundary Knot Method and Laplacian Decomposition


Chung-Yi Lin

   The localized method of particular solutions for solving the Burgers’ equations via the Cole-Hopf transformation


Leevan Ling

   Applicability and optimality of the method of fundamental solutions


Chein-Shan Liu

   The method of fundamental solutions for solving the backward heat conduction problem with conditioning by a new post-conditioner


Gui-Rong Liu

   Meshfree Methods by Weakened Weak (W2) Formulations


Yan-Chen Liu

   The least squares Trefftz method with external source for the eigenfrequencies of waveguides


D. C. Lo

   A New Embedding Finite Element Method for Viscous Incompressible Flows with Complex Immersed Boundaries on Cartesian Grids


Toshiro Matsumoto

   Shape and Topology Optimizations Using BEM and a Level Set Based Method


Magdalena Mierzwiczak

   The inverse determination of the thermal contact resistance between components of unidirectionally reinforced composite


Naoshi Nishimura

   Calderon preconditioners for periodic FMMs in wave transmission problems


H. Power

   Boundary Element solution of Stokes Nano-flow between curved surfaces with linear and nonlinear boundary condition


Jan Rejlek

   On the use of the wave based technique for three-dimensional analysis of coupled vibro-acoustic radiation problems


Takemi Shigeta

   Condition Number and the Related Mathematical Study on Boundary Meshless Methods for the Laplace Equation in an Exterior Unbounded Domain


Wen-Shinn Shyu

   SH-wave scattering at a semi-cylindrical hill and a semi-cylindrical alluvial basin by hybrid method


K. Y. Sze

   Hybrid plane, axisymmetric and three-dimensional finite element models for Helmholtz problem


António Tadeu

   Wave propagation involving solid-fluid interaction using a BEM/TBEM and MFS coupling formulation


Chia-Cheng Tsai

   On the exponential convergence of method of fundamental solutions


Anita Uscilowska

   An implementation of the method of fundamental solutions for the dynamics of a plate large


Hui Wang

   Solving the nonlinear Poisson-type problems with F-Trefftz hybrid finite element model


Yi-Min Wei

   Effective Condition Number for Weighted Linear Least Squares Problems and Applications to the Trefftz Methods


Chien-Ting Wu

   Application of method of fundamental solutions and generalized lagally theorem to dynamic interaction of vortices and solid bodies


Ching-Sen Wu

   Method of fundamental solutions for the vibroacoustic analysis


Chuan-Ju Xu

   An unstructured nodal spectral-element method for the Navier-Stokes equations


Weichung Yeih

   Solving the stress intensity factor for a planar crack by using the modified multiple-source Trefftz method


Der-Liang Young

   A linear iterative investigation for MFS with EEM to solve the 3D Nonhomogeneous Diffusion Equation

   Numerical Solution for the Jump-Diffusion Models by the Local Differential Quadrature Method


Lih-Jier Young

   Some numerical applications in fracture of materials


Weinian Zhang

   An Algorithm for Melnikov Functions and Applications

Yao-Ming Zhang

   An average source meshless method for solving the potential problems