Mesh Reduction Methods: BEM MRM XXXI

Cover......Page 1
Mesh Reduction Methods BEM/MRM XXXI......Page 9
Copyright Page......Page 10
Preface......Page 11
Contents......Page 13
Section 1: Advanced formulations......Page 17
Multipole expansion BEM for simultaneous Poisson's equations......Page 19
Numerical Green's function for a two-dimensional diffusion equation......Page 29
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......Page 39
On stress reconstruction in composite domains from discrete data on principal directions......Page 51
The boundary element method for the determination of nonlinear boundary conditions in heat conduction......Page 61
FEM type method for reconstruction of plane stress tensors from limited data on principal directions......Page 73
Section 2: Advanced meshless and mesh reduction methods......Page 85
Meshless implementations of local integral equations......Page 87
Local and virtual RBF meshless method for high-speed flows......Page 99
The radial basis integral equation method for convection-diffusion problems......Page 111
A method of fundamental solution without fictitious boundary......Page 121
Extending the local radial basis function collocation methods for solving semi-linear partial differential equations......Page 133
Three-dimensional unsteady heat conduction analysis by the triple-reciprocity boundary element method......Page 145
Radial basis integral equation method for Navier-Stokes equations......Page 157
Efficient Boundary Element Method for a focused domain......Page 167
Performance of GMRES for the MFS......Page 179
Section 3: Computational methods......Page 189
On the use of integrated radial basis function schemes in weighted residual statements for elliptic problems......Page 191
A time domain Galerkin boundary element method for a heat conduction interface problem......Page 203
Hierarchical matrices and adaptive cross approximation applied to the boundary element method with multi-domain governed by iterative coupling......Page 215
Section 4: Advanced structural applications......Page 225
Boundary element modelling of non-linear buckling for symmetrically laminated plates......Page 227
Effective properties of fibers with various ratios of phase stiffness......Page 239
Hybrid finite element method in supersonic flut
ter analysis of circular cylindrical shells......Page 249
Section 5: Damage mechanics and fracture......Page 261
Cohesive crack propagation using a boundary element formulation with a tangent operato......Page 263
Stress field in the Antarctic tectonic plate: elastic and plastic models......Page 273
Section 6: Dynamics and vibrations......Page 285
Velocity-based boundary integral equation formulation in the time domain......Page 287
Trefftz collocation for frequency domain elastodynamic problems......Page 297
On the breathing frequencies computation using the Reissner and the Mindlin model......Page 309
Free vibration analysis of a circular plate with multiple circular holes by using the addition theorem and direct BIEM......Page 319
Free vibration analysis of thin circular plates by the indirect Trefftz method......Page 333
Section 7: Fluid flow......Page 345
Meshless, BE, FE and FD methods analysis of the flow and concentration in a water reservoir......Page 347
Natural convection around a 3D hotstrip simulated by BEM......Page 359
Boundary integral method for Stokes flow with linear slip flow conditions in curved surfaces......Page 369
Development of a Boundary Element Method-based numerical wave tank technique for the prediction of nonlinear wave kinematics and dynamics around offshore structures......Page 379
Section 8: Electrical engineering and electromagnetics......Page 391
Motion of nanoscale contaminant particle in air bearings under electrostatic charges: a case study......Page 393
Boundary element modeling of horizontal grounding electrodes using the set of generalized telegrapher's equations......Page 403
Provisional study on the 3-D Cauchy condition surface method for fusion plasma shape identification......Page 413
S......Page 421
Z......Page 422