Mesh Reduction Methods: XXXI
BEM/MRM
Published on 27. August 2009
Book
Hardback
432 pages
978-1-84564-197-9 (ISBN)
Description
The Conference on Mesh Reduction Methods and Boundary Elements (MRM/BEM) is recognised as the international forum for the latest advances of these methods and their applications in sciences and engineering. Since the first conference took place in Southampton UK in 1978, the success of the meeting is an indication of the strength of the research being carried out by many different groups around the world. This continuous growth is a result of the evolution of the techniques from methods based on classical integral equations to techniques covering now a wide variety of mathematical approaches, the main objective of which is to reduce or eliminate the mesh. The mesh, a concept inherited from more primitive methods such as finite differences and finite elements, is alien to the solution of the problem and dictated only by the limitations of first-generation analysis techniques.This volume contains papers presented at the Thirty-first conference in the series, and topics include: Advanced Formulations; Advanced Meshless and Mesh Reduction Methods; Computational Methods; Advanced Structural Applications; Damage Mechanics and Fracture; Dynamics and Vibrations; Fluid Flow; Electrical Engineering and Electromagnetics.
More details
Series
Language
English
Place of publication
Southampton
United Kingdom
Target group
College/higher education
Illustrations
Illustrations
Dimensions
Height: 230 mm
Width: 155 mm
ISBN-13
978-1-84564-197-9 (9781845641979)
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Schweitzer Classification
Content
Section 1: Advanced formulations Multipole expansion BEM for simultaneous Poisson's equations; Numerical Green's function for a two-dimensional diffusion equation; Equivalence between the Trefftz method and the method of fundamental solutions for Green's function of concentric spheres using the addition theorem and image concept; On stress reconstruction in composite domains from discrete data on principal directions; The boundary element method for the determination of nonlinear boundary conditions in heat conduction; FEM type method for reconstruction of plane stress tensors from limited data on principal directions Section 2: Advanced meshless and mesh reduction methods Meshless implementations of local integral equations; Local and virtual RBF meshless method for high-speed flows; The radial basis integral equation method for convection-diffusion problems; A method of fundamental solution without fictitious boundary; Extending the local radial basis function collocation methods for solving semi-linear partial differential equations; Three-dimensional unsteady heat conduction analysis by the triple-reciprocity boundary element method; Radial basis integral equation method for Navier-Stokes equations; Efficient Boundary Element Method for a focused domain; Performance of GMRES for the MFS Section 3: Computational methods On the use of integrated radial basis function schemes in weighted residual statements for elliptic problems; A time domain Galerkin boundary element method for a heat conduction interface problem; Hierarchical matrices and adaptive cross approximation applied to the boundary element method with multi-domain governed by iterative coupling Section 4: Advanced structural applications Boundary element modelling of non-linear buckling for symmetrically laminated plates; Effective properties of fibers with various ratios of phase stiffness; Hybrid finite element method in supersonic flutter analysis of circular cylindrical shells Section 5: Damage mechanics and fracture Cohesive crack propagation using a boundary element formulation with a tangent operator; Stress field in the Antarctic tectonic plate: elastic and plastic models Section 6: Dynamics and vibrations Velocity-based boundary integral equation formulation in the time domain; Trefftz collocation for frequency domain elastodynamic problems; On the breathing frequencies computation using the Reissner and the Mindlin model; Free vibration analysis of a circular plate with multiple circular holes by using the addition theorem and direct BIEM; Free vibration analysis of thin circular plates by the indirect Trefftz method Section 7: Fluid flow Meshless, BE, FE and FD methods analysis of the flow and concentration in a water reservoir; Natural convection around a 3D hotstrip simulated by BEM; Boundary integral method for Stokes flow with linear slip flow conditions in curved surfaces; Development of a Boundary Element Method-based numerical wave tank technique for the prediction of nonlinear wave kinematics and dynamics around offshore structures Section 8: Electrical engineering and electromagnetics Motion of nanoscale contaminant particle in air bearings under electrostatic charges: a case study; Boundary element modeling of horizontal grounding electrodes using the set of generalized telegrapher's equations; Provisional study on the 3-D Cauchy condition surface method for fusion plasma shape identification