Essays about: "discontinuous Galerkin method"

Showing result 1 - 5 of 10 essays containing the words discontinuous Galerkin method.

1. 1. 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

3. 2. Discontinuous Galerkin Method for Liquid Chromatography Modelling

   University essay from Umeå universitet/Institutionen för fysik

   Author : Sara Culligan; [2022]
   Keywords : ;

   Abstract : Chromatography is a separation technique used predominantly by the medical industry in purification and extraction of components in a solution. The setup is a column filled with resin particles where a solution of two components is filtered and separated due to different rates of interaction with the resin particles. READ MORE

4. 3. 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

5. 4. 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

6. 5. Implementation of 3 stage Lobatto IIIC into the Assimulo package

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

   Author : Edmund Aristid Lehsten; [2021]
   Keywords : 3 Stage Lobatto IIIC; Lobatto IIIC; Assimulo; Mathematics and Statistics;

   Abstract : In recent years, the popularity of discontinuous Galerkin methods has increased. As shown in [19], a result exists that states that the Discontinuous Galerkin space approximations (DG) are equivalent to the Lobatto IIIC Runge-Kutta method. READ MORE