Search for dissertations about: "symmetric hyperbolic system"
Showing result 1 - 5 of 7 swedish dissertations containing the words symmetric hyperbolic system.
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1. On the Einstein-Vlasov system: Stationary Solutions and Small Data Solutions with Charged and Massless Particles
Abstract : The Vlasov matter model describes an ensemble of collisionless particles moving through space-time. These particles interact via the gravitational field which they create collectively. In the framework of General Relativity this gravitational field is described by space-time curvature. READ MORE
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2. Harmonic morphisms, Hermitian structures and symmetric spaces
Abstract : A harmonic morphism is a map between two Riemannian manifolds with the property that its composition with a local harmonic function on the codomain is a local harmonic function on the domain. Such a map is automatically a harmonic map, satisfying an additional partial conformality condition called horizontal (weak) conformality. READ MORE
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3. Towards higher order immersed finite elements for the wave equation
Abstract : We consider solving the scalar wave equation using immersed finite elements. Such a method might be useful, for instance, in scattering problems when the geometry of the domain is not known a priori. For hyperbolic problems, the amount of computational work per dispersion error is generally lower when using higher order methods. READ MORE
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4. Stability, dual consistency and conservation of summation-by-parts formulations for multiphysics problems
Abstract : In this thesis, we consider the numerical solution of initial boundary value problems (IBVPs). Boundary and interface conditions are derived such that the IBVP under consideration is well-posed. We also study the dual problem and the related dual boundary/interface conditions. READ MORE
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5. Perfectly Matched Layers and High Order Difference Methods for Wave Equations
Abstract : The perfectly matched layer (PML) is a novel technique to simulate the absorption of waves in unbounded domains. The underlying equations are often a system of second order hyperbolic partial differential equations. In the numerical treatment, second order systems are often rewritten and solved as first order systems. READ MORE