Essays about: "unfitted method"

Found 5 essays containing the words unfitted method.

  1. 1. 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

  3. 2. Approximating the element matrices in an unfitted finite element method using neural networks

    University essay from Umeå universitet/Institutionen för fysik

    Author : Amanda Bertgren; [2022]
    Keywords : Finite element method; CutFEM; neural networks; machine learning;

    Abstract : This study investigates the possibility of combining an unfitted finite element method, CutFEM, with neural networks, in an attempt to reduce the computational time on evolving domains. Finite element methods are used to solve partial differential equations by fitting a spatial and temporal discretisation to the momentous domain. READ MORE

  4. 3. An overlapping mesh based splitting method for the incompressible Navier-Stokes equations

    University essay from Umeå universitet/Institutionen för fysik

    Author : Karl-Johan Lundström; [2020]
    Keywords : ;

    Abstract : We present an overlapping mesh based splitting method for solving the incompressible Navier-Stokes equations on unfitted mesh settings. The developed method is based on Nitsche’s method for weakly imposing the interface condition between the overlapping meshes, and it uses a ghost penalty approach for stabilizing the cut elements produced by the mesh intersection. READ MORE

  5. 4. Cut finite element methods for incompressibleflows with unfitted interfaces

    University essay from Umeå universitet/Institutionen för fysik

    Author : Carl Holmberg; [2018]
    Keywords : Finite element method;

    Abstract : Problems with time-evolving domains are frequently occurring in computationalfluid dynamics and many other fields of science and engineering.Unfitted methods, where the computational mesh does not conform to thegeometry, are of great interest for handling such problems, since they removethe burden of mesh generation. READ MORE

  6. 5. A Cut-Cell Implementation of the Finite Element Method in deal.ii

    University essay from Uppsala universitet/Institutionen för informationsteknologi

    Author : Afonso Alborghetti Londero; [2015]
    Keywords : ;

    Abstract : The modeling of problems where the boundary changes significantly over time may become challenging as the mesh needs to be adapted constantly. In this context, computational methods where the mesh does not conform to the boundary are of great interest. READ MORE