The IUTAM Symposium on Advanced Boundary Element Methods brought together both established and current researchers in the broad context of applications of BEM technology. The goal of the Symposium was to provide both a formal and an informal forum for the interchange of ideas and the stimulation of...
This text presents new formulations of the Boundary Element Method (BEM) which lend themselves to a wide range of complex engineering problems, such as fracture mechanics, coupling with finite elements, moving boundary applications and nonlinear problems....
Topics cover the analysis of domain decomposition and multilevel methods, including hp finite elements, hybrid discontinuous Galerkin methods, and the coupling of finite and boundary element methods; the efficient solution of eigenvalue problems related to partial differential equations with applications in...
In this work a novel approach is presented for the Boundary Element analysis of problems in geomechanics. Firstly, Non-Uniform Rational B-Spines (NURBS) are used for the description of the geometry and for the approximation of the unknowns. This results in a significant decrease in the number...
The paper discusses the application of Boundary Element (B.E.M.) and Coupled Boundary Element/Finite Element Methods to problems in mining and tunnelling. Implementation of the methods on a CYBER 205 supercomputer and a VAX11 minicomputer is discussed. Methods of coupling Boundary Element and Fini...
The paper reports the development of a close-coupling algorithm between an inviscid boundary element method dedicated to propeller flows and a RANS method. The procedure uses the propeller forces computed by the inviscid method to mimic the propeller inside the viscous-flow solver, while the inflow...
In the design of advanced ceramic electrochemical cells, data mining approaches have been combined with the classical computational methods, such as density functional theory (DFT), molecular dynamics (MD), and finite element method (FEM), to develop hybrid models that leverage the strengths of bot...
Boundary Element Methods in Engineering and Sciences Readership: Graduate students, academics and researchers in engineering mechanics, materials engineering, mechanical engineering, and software engineering/programming. The book will provide a comprehensive presentation of the BEM from fundamentals ... MH Ali...
Elastic waves in continuous and discontinuous geological media by boundary integral equation methods: A review 2015, Soil Dynamics and Earthquake Engineering Citation Excerpt : By using radial basis functions, the domain integral is converted into a boundary integral so that numerical implementation for ...
There are many ways to solve the PDE equation and more than one of the numerical methods includes the relaxation process. For example, if a PDE is solved by finite element methods relaxation consumes the bulk of the computing time. Consider an example from the world of heat transfer. Given ...