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Showing 1 to 7 of 7 for “"hyperbolic systems of conservation laws"”.
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A Posteriori Error Analysis of the Discontinuous Galerkin Method for Linear Hyperbolic Systems of Conservation Laws
… the discontinuous Galerkin discretization error of multi-dimensional first-order linear symmetric and symmetrizable hyperbolic systems of conservation laws. We explicitly write the leading term of the local DG error, which is spanned by Legendre polynomials of degree p and p+1 when p-th degree …
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Analysis of a Spacetime Discontinuous Galerkin Method for Systems of Conservation Laws
The focus of this dissertation is analysis of a causal spacetime discontinuous Galerkin (CSDG) method for one-dimensional hyperbolic systems of conservation laws. The CSDG method is based on causal spacetime discretizations, and the Galerkin basis herewith consists of piecewise constant functions. …
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Efficient finite-volume schemes for magnetohydrodynamic simulations in solar physics
… finite-volume schemes for solving the equations of (compressible) magnetohydrodynamics (MHD) in one, two, and three spatial dimensions. We introduce a new approximate Riemann solver for the ideal gas MHD equations (MHD-HLLEM) that outperforms all other solvers considered. We present and compare …
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On a Moving Boundary Problem of Transitional Ballistics
… problem which arises in computer simulation of the firing of a gun weapon is the development of numerical schemes which effectively account for the physics of projectile motion. The chief difficulty is that away from the projectile the calculation is ordinarily accomplished on a fixed …
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Large Time Step and Overlapping Grids for Conservation Laws
One focus of this dissertation is to construct a large time step Finite Volume Method for computing numerical solutions to hyperbolic systems of conservation laws. We also consider a method of overlapping spatial grids for which variants have proved to be an important consideration in large scale …
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A Posteriori Error Analysis for a Discontinuous Galerkin Method Applied to Hyperbolic Problems on Tetrahedral Meshes
… element method applied to scalar first-order hyperbolic problems on structured and unstructured tetrahedral meshes. We present a local error analysis to derive a discontinuous Galerkin orthogonality condition for the leading term of the discretization error and find basis functions spanning …