Stabilized nodal-based finite element methods for the magnetic induction problem

DOI10.1002/mma.3801zbMath1388.76138OpenAlexW2215811198MaRDI QIDQ3188519

Utku Kaya, Benjamin Wacker, Gert Lube

Publication date: 11 August 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3801

zbMATH Keywords

stability and error estimatesmagnetic induction problemnodal-based finite element method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Magnetohydrodynamics and electrohydrodynamics (76W05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (2)

Two Variants of Stabilized Nodal-Based FEM for the Magnetic Induction Problem ⋮ A Finite Element Variational Multiscale Method for Stationary Incompressible Magnetohydrodynamics Equations

Uses Software

• FreeFem++

Cites Work

• Analysis of an unconditionally convergent stabilized finite element formulation for incompressible magnetohydrodynamics
• A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics
• Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements
• Theory and practice of finite elements.
• Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains
• On an unconditionally convergent stabilized finite element approximation of resistive magnetohydrodynamics
• An Introduction to Magnetohydrodynamics
• A Nodal-based Finite Element Approximation of the Maxwell Problem Suitable for Singular Solutions
• Unconditionally stable operator splitting algorithms for the incompressible magnetohydrodynamics system discretized by a stabilized finite element formulation based on projections
• Numerical Methods for Two-phase Incompressible Flows
• Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements
• Local projection FEM stabilization for the time‐dependent incompressible <scp>N</scp>avier–<scp>S</scp>tokes problem
• Finite Element Methods for Navier-Stokes Equations
• An Introduction to Numerical Analysis
• Finite Element Methods for Maxwell's Equations
• New development in freefem++

This page was built for publication: Stabilized nodal-based finite element methods for the magnetic induction problem