Sökning: "Nonlocal methods"
Visar resultat 1 - 5 av 16 avhandlingar innehållade orden Nonlocal methods.
1. 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
2. Finite difference methods for a nonlocal boundary value problem for the heat equation
Sammanfattning : .... LÄS MER
3. Numerical Methods for Aeroacoustic Analysis of Turbomachines
Sammanfattning : Numerical simulations are important tools for developing new aircraft that can meet future needs. When numerical simulations are used to compute aircraft noise, a two-step procedure is often employed. In the first step, the noise sources are determined using, e.g. LÄS MER
4. On Numerical Methods for the Diffusion Equation Subject to Non-Local Boundary Conditions
Sammanfattning : In the first paper three different finite difference methods for solving the heat equation in one space dimension with boundary conditions containing integrals over the interior of the interval are considered. The schemes are based on the forward Euler, the backward Euler and the Crank-Nicolson methods. Error estimates are derived in maximum norm. LÄS MER
5. Domain Decomposition and Preconditioned Iterative Methods for the Helmholtz Equation
Sammanfattning : New preconditioned iterative solution methods for the Helmholtz equation are constructed. To evaluate the performance of the methods, two-dimensional problems with a waveguide geometry are used as model problems. Second- and fourth-order accurate finite difference discretizations are used. LÄS MER