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Showing 1 to 20 of 456 for “"Galerkin"”.
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Galerkin boundary element methods with multiwavelets
… theboundary element method, namely, the standard Galerkin method with multiwavelet basisfunctions. For this method two types of compression strategies are developed which only require the computation of the significant matrix elements. We show that there areO(N\og N) such significant elements. In …
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Spacetime Meshing for Discontinuous Galerkin Methods
… phenomena using spacetime discontinuous Galerkin finite element methods. Given a triangulated d-dimensional Euclidean space domain M (a simplicial complex) corresponding to time t = 0 and initial conditions of the underlying hyperbolic spacetime PDE, we construct an unstructured …
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Implementation of Galerkin method in FastCap
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1995.
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Inertial Manifolds and Nonlinear Galerkin Methods
Nonlinear Galerkin methods utilize approximate inertial manifolds to reduce the spatial error of the standard Galerkin method. For certain scenarios, where a rough forcing term is used, a simple postprocessing step yields the same improvements that can be observed with nonlinear Galerkin. We show …
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Galerkin Projections Between Finite Element Spaces
… spaces when solving elliptic PDEs with Galerkin finite element methods. For nonlinear PDEs, solving the nonlinear problem with Newton's method requires an initial guess of the solution on a refined space, which can be found by interpolating the solution from a previous refinement. …
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Visualization for high-order discontinuous Galerkin CFD results
This thesis demonstrates a technique that reduces the perceived error introduced in the visualization of higher-order DG solutions with traditional tools. Most visualization techniques work by using the solution at the mesh vertices and linearly interpolating to color the interior of the element. …
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Towards Coupled Nonhydrostatic-Hydrostatic Hybridizable Discontinuous Galerkin Method
… developed using the hybridizable discontinuous Galerkin (HDG) finite element methodology by taking advantage of the local and global HDG solvers for combining HS with NHS solvers. The multi-dynamics is derived, and the first version is implemented in the HDG framework to quantify computational …
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Galerkin method to model thin free surface flows
… and suggests an alternative in the form of a Galerkin-like projection method.
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High order hybrid discontinuous Galerkin regional ocean modelling
… schemes based on the novel hybrid discontinuous Galerkin (HDG) method in combination with projection methods. The new numerical schemes are first derived for the Navier-Stokes equations. To ensure mass conservation, we define numerical fluxes that are consistent with the discrete divergence …
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Higher-order Petrov-Galerkin methods for analysis of antennas
… and spatially high-order accurate Petrov-Galerkin finite-element method is applied to the analysis of several antenna configurations. The method obtains numerical solutions of Maxwell's equations in the time domain using implicit time stepping and introduces energy into the domain using a …
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Unstetige Galerkin-Diskretisierung niedriger Ordnung in einem atmosphärischen Multiskalenmodell
… Arbeit untersucht die Eignung eines unstetigen Galerkin-Verfahrens niedriger Ordnung für atmosphärische Anwendungen. Diese Eignung für Gleichungen mit Wirkungen von externen Kräften wie Erdanziehungskraft und Corioliskraft ist aus der Theorie nicht selbstverständlich. Es werden nötige …
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Parallel and Adaptive Galerkin Methods for Radiative Transfer Problems
Finite element methods for radiative transfer problems are developed and their implementation on parallel computer architectures is discussed. A posteriori error estimates allow for efficient grid adaptation in two and three space dimensions.
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A Spacetime Discontinuous Galerkin Method for Hyperbolic Conservation Laws
The basic SDG approximation is a simple Bubnov-Galerkin projection that is not prone to global patterns of spurious oscillations. However, it does require stabilization to eliminate local overshoot and undershoot in the immediate vicinity of shocks and other discontinuous solution features. We …
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Analysis of a Spacetime Discontinuous Galerkin Method for Elastodynamics
We prove error estimates for the case of both element-wise and patch-wise causal partitions.
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A discontinuous Galerkin spectral element method compressible flow solver
… flow simulation using the discontinuous Galerkin spectral element method. The algorithms are designed for simulation of compressible turbulence in realistic engineering geometries that are relevant to a broad range of mechanical engineering applications. Such problems are difficult …
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Development of discontinuous Galerkin method for nonlocal linear elasticity
… of the solution of higher order. Discontinuous Galerkin methods are particularly attractive toward this end, as they provide a means to naturally enforce higher interelement continuity in a weak manner without the need of modifying the finite element interpolation. In this work, a discontinuous …
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