Sökning: "Cut finite element method CutFEM"

Hittade 5 uppsatser innehållade orden Cut finite element method CutFEM.

  1. 1. Simuleringar av ytaktiva ämnen med hjälp av skurna finita elementmetoder (CutFEM)

    Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)

    Författare :Emmy Staberg; Samuel Blakeman; [2023]
    Nyckelord :Coupled bulk-surface problem; Cut finite element method CutFEM ; Evolving domains;

    Sammanfattning : I denna studie analyserar vi numeriska metoder som beskriver koncentrationen av ytaktiva ämnen (surfaktanter). Dessa surfaktanter befinner sig i olösliga vätskor som separeras av ett tidsberoende gränssnitt som påverkas av ett givet hastighetsfält. LÄS MER

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

    Master-uppsats, KTH/Matematik (Inst.)

    Författare :Sebastian Myrbäck; [2022]
    Nyckelord :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;

    Sammanfattning : 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. LÄS MER

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

    Uppsats för yrkesexamina på avancerad nivå, Umeå universitet/Institutionen för fysik

    Författare :Amanda Bertgren; [2022]
    Nyckelord :Finite element method; CutFEM; neural networks; machine learning;

    Sammanfattning : 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. LÄS MER

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

    Master-uppsats, Umeå universitet/Institutionen för fysik

    Författare :Carl Holmberg; [2018]
    Nyckelord :Finite element method;

    Sammanfattning : 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. LÄS MER

  7. 5. A Cut Finite Element Method for Partial Differential Equations on Evolving Surfaces

    Master-uppsats, KTH/Numerisk analys, NA

    Författare :Johan Wärnegård; [2016]
    Nyckelord :;

    Sammanfattning : This thesis deals with cut finite element methods (CutFEM) for solving partial differential equations (PDEs) on evolving interfaces. Such PDEs arise for example in the study of insoluble surfactants in multiphase flow. In CutFEM, the interface is embedded in a larger mesh which need not respect the geometry of the interface. LÄS MER