Sökning: "meshfree method"
Hittade 5 avhandlingar innehållade orden meshfree method.
1. The Dirac Equation: Numerical and Asymptotic Analysis
Sammanfattning : The thesis consists of three parts, although each part belongs to a specific subject area in mathematics, they are considered as subfields of the perturbation theory. The main objective of the presented work is the study of the Dirac operator; the first part concerns the treatment of the spurious eigenvalues in the computation of the discrete spectrum. LÄS MER
2. Modelling of fracture toughness using peridynamics : A Study of J-integral, essential work and homogenisation
Sammanfattning : Fracture toughness is one of the most important properties of a material. Being able toaccurately estimate the energy that goes into forming new crack surfaces is essential for the development of new materials, quality assurance, structural monitoring and failure analysis. LÄS MER
3. Localised Radial Basis Function Methods for Partial Differential Equations
Sammanfattning : Radial basis function methods exhibit several very attractive properties such as a high order convergence of the approximated solution and flexibility to the domain geometry. However the method in its classical formulation becomes impractical for problems with relatively large numbers of degrees of freedom due to the ill-conditioning and dense structure of coefficient matrix. LÄS MER
4. Numerical models to simulate wear and friction-induced heating in rough surface contacts
Sammanfattning : The study of friction and wear is a crucial element in the effort to reduce carbon footprint in technology. It is evident that friction and wear are responsible for a significant amount of global energy losses, emphasizing the need for research on the topic. LÄS MER
5. Global radial basis function collocation methods for PDEs
Sammanfattning : Radial basis function (RBF) methods are meshfree, i.e., they can operate on unstructured node sets. Because the only geometric information required is the pairwise distance between the node points, these methods are highly flexible with respect to the geometry of the computational domain. LÄS MER