Sökning: "Nodal Approximation"

Hittade 2 uppsatser innehållade orden Nodal Approximation.

1. 1. Solving Korteweg-de Vries equations with Discontinuous Galerkin methods

   Master-uppsats, Linköpings universitet/Tillämpad matematik; Linköpings universitet/Tekniska fakulteten

   Författare :Markus Hellberg Mediaa; [2023]
   Nyckelord :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;

   Sammanfattning : 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. LÄS MER

3. 2. 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