Symmetric Galerkin boundary element methods

M Bonnet, G Maier, C Polizzotto - 1998 - asmedigitalcollection.asme.org
This review article concerns a methodology for solving numerically, for engineering
purposes, boundary and initial-boundary value problems by a peculiar approach …

[图书][B] Meshfree methods: moving beyond the finite element method

GR Liu - 2009 - taylorfrancis.com
Understand How to Use and Develop Meshfree TechniquesAn Update of a Groundbreaking
WorkReflecting the significant advances made in the field since the publication of its …

[图书][B] An introduction to meshfree methods and their programming

GR Liu, YT Gu - 2005 - books.google.com
The finite difference method (FDM) hasbeen used tosolve differential equation systems for
centuries. The FDM works well for problems of simple geometry and was widely used before …

[图书][B] Boundary element methods for engineers and scientists: an introductory course with advanced topics

L Gaul, M Kögl, M Wagner - 2013 - books.google.com
Over the past decades, the Boundary Element Method has emerged as a ver satile and
powerful tool for the solution of engineering problems, presenting in many cases an …

The hybrid boundary element method: an alliance between mechanical consistency and simplicity

NA Dumont - 1989 - asmedigitalcollection.asme.org
The most important features of a new numerical method are outlined. The mechanical, or
variational consistency of the hybrid finite element method is extended to the conventional …

Coupling of element free Galerkin and hybrid boundary element methods using modified variational formulation

GR Liu, YT Gu - Computational Mechanics, 2000 - Springer
A novel method is proposed by coupling the element free Galerkin (EFG) and the hybrid
boundary element (HBE) methods to achieve solution efficiency and accuracy for stress …

The consistent boundary element method for potential and elasticity: Part II—machine-precision numerical evaluations for 2D problems

NA Dumont - Engineering Analysis with Boundary Elements, 2023 - Elsevier
The collocation boundary element method is outlined in a first companion paper for the
general three-dimensional, static case of elasticity. This is done in a consistent way that …

Hybrid boundary point interpolation methods and their coupling with the element free Galerkin method

YT Gu, GR Liu - Engineering Analysis with Boundary Elements, 2003 - Elsevier
Hybrid boundary point interpolation methods (HBPIM and HBRPIM) are presented for
solving boundary value problems of two-dimensional solids. In HBPIM and HBRPIM, the …

The regular hybrid boundary node method for three-dimensional linear elasticity

J Zhang, Z Yao - Engineering analysis with boundary elements, 2004 - Elsevier
The Regular Hybrid Boundary Node Method (RHBNM) is developed in this paper for solving
three-dimensional linear elasticity problems. Coupling modified functional with the Moving …

On the efficient numerical evaluation of integrals with complex singularity poles

NA Dumont - Engineering Analysis with Boundary Elements, 1994 - Elsevier
A simple quadrature rule is proposed for the evaluation of one-dimensional quasi-singular
integrals with a complex pole. The technique is based on the concept of synthetic division of …