Essays about: "Discontinuous Galerkin methods"

Showing result 1 - 5 of 13 essays containing the words Discontinuous Galerkin methods.

1. 1. Discussion of Python Implementation Techniques for Discontinuous Galerkin Methods

   University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

   Author : Ulf Vestberg; [2023]
   Keywords : Best approximation; Orthogonal polynomials; Legendre polynomials; Integration; Full tensor product; Sum-factorization; Dune; Mathematics and Statistics;

   Abstract : This paper discusses implementation techniques for integration methods within the Discontinuous Galerkin Methods. These methods are used to approximate solutions for differential equations. To do so, one must compute a polynomial, which is an approximation of the used function. READ MORE

3. 2. Solving Korteweg-de Vries equations with Discontinuous Galerkin methods

   University essay from Linköpings universitet/Tillämpad matematik; Linköpings universitet/Tekniska fakulteten

   Author : Markus Hellberg Mediaa; [2023]
   Keywords : Discontinuous Galerkin; Korteweg-de Vries; Conservation Laws; Partial Differential Equations; Numerical methods; Higher order spatial derivative; Heat Equation; Burgers’ Equation; Collocation; Lobatto Gauss Legendre; Stiffness; Nodal Approximation; Finite Volume; Finite Element;

   Abstract : In this thesis the Discontinuous Galerkin approximation performance applied to the Korteweg–de Vries equation is investigated. This equation is nonlinear with a third spatial derivative and can be used for shallow water movement. READ MORE

4. 3. Computation of Underwater Acoustic Wave Propagation Using the WaveHoltz Iteration Method

   University essay from KTH/Skolan för elektroteknik och datavetenskap (EECS)

   Author : Paul Wall; [2022]
   Keywords : WaveHoltz iteration method; Helmholtz equation; Discontinuous Galerkin methods; Underwater acoustics.; WaveHoltziterativametod; Helmholtzekvation; DiskontinuerligaGalerkinmetoder; Undervattensakustik.;

   Abstract : In this thesis, we explore a novel approach to solving the Helmholtz equation,the WaveHolz iteration method. This method aims to overcome some ofthe difficulties with solving the Helmholtz equation by providing a highlyparallelizable iterative method based on solving the time-dependent Waveequation. READ MORE

5. 4. Conservative Discontinuous Cut Finite Element Methods: Convection-Diffusion Problems in Evolving Bulk-Interface Domains

   University essay from KTH/Matematik (Inst.)

   Author : Sebastian Myrbäck; [2022]
   Keywords : numerical analysis; mathematical modeling; convection-diffusion equation; partial differential equation; unfitted method; CutFEM; finite element method; discontinuous Galerkin method; numerisk analys; matematisk modellering; konvektions-diffusionsekvationer; partiella differentialekvationer; finita elementmetoden; diskontinuerliga Galerkinmetoden;

   Abstract : This work entails studying unfitted finite element discretizations for convection-diffusion equations in domains that evolve in time. In particular, these partial differential equations model the evolution of the concentration of soluble surfactants in bulk-interface domains. READ MORE

6. 5. Subgrid finite volume preconditioner for Discontinuous Galerkin implemented in the DUNE framework

   University essay from Lunds universitet/Matematik LTH

   Author : Johannes Kasimir; [2021]
   Keywords : discontinuous galerkin spectral element method; dune; high performance computing; numerical analysis; numerical methods; fluid dynamics; simulation; multigrid; iterative methods; Technology and Engineering;

   Abstract : A Jacobian free multigrid preconditioner for linear problems arising from Implicit Discontinuous Galerkin (DG) discretizations is implemented. The preconditioner is based on a multigrid method for a low order Finite volume (FV) discretization on a subcellgrid. L2-projections are introduced as a strategy to translate between the discretizations. READ MORE