جزییات کتاب
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