Sökning: "Domain decomposition"
Visar resultat 1 - 5 av 77 avhandlingar innehållade orden Domain decomposition.
1. 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
2. Convergence analysis of domain decomposition methods : Nonlinear elliptic and linear parabolic equations
Sammanfattning : Domain decomposition methods are widely used tools for solving partial differential equations in parallel. However, despite their long history, there is a lack of rigorous convergence theory for equations with non-symmetric differential operators. This includes both nonlinear elliptic equations and linear parabolic equations. LÄS MER
3. Numerical homogenization of network models and micro-mechanical simulation of paperboard
Sammanfattning : Micro-mechanical simulations of paper products involve complex geometries and challenging numerical problems. This work considers micro-mechanical simulations where individual paper fibers are modeled and resolved. This level of detail is useful in paper-product development, where wood composition and other fiber-based parameters are essential. LÄS MER
4. Spatial and Physical Splittings of Semilinear Parabolic Problems
Sammanfattning : Splitting methods are widely used temporal approximation schemes for parabolic partial differential equations (PDEs). These schemes may be very efficient when a problem can be naturally decomposed into multiple parts. LÄS MER
5. Numerical Vlasov–Maxwell Modelling of Space Plasma
Sammanfattning : The Vlasov equation describes the evolution of the distribution function of particles in phase space (x,v), where the particles interact with long-range forces, but where shortrange "collisional" forces are neglected. A space plasma consists of low-mass electrically charged particles, and therefore the most important long-range forces acting in the plasma are the Lorentz forces created by electromagnetic fields. LÄS MER