Analysis of a Fully Discrete Finite Element Method for a Nonlinear Magnetic Field Problem

DOI10.1137/0731040zbMath0804.65123OpenAlexW2049358011MaRDI QIDQ4305431

Bodo Heise

Publication date: 13 September 1994

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0731040

zbMATH Keywords

monotonicityerror estimatesfinite elementsmonotone interpolantnonlinear stationary magnetic field problems

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Applications to the sciences (65Z05) Electro- and magnetostatics (78A30)

Related Items

Discrete Electromagnetism with Shape Forms of Higher Polynomial Degree ⋮ Stochastic Modeling and Regularity of the Nonlinear Elliptic curl--curl Equation ⋮ Shape Optimization of an Electric Motor Subject to Nonlinear Magnetostatics ⋮ Generalized fuzzy Hough transform for detecting arbitrary shapes in a vague and noisy image ⋮ The efficient parallel solution of PDEs ⋮ Parallel solvers for linear and nonlinear exterior magnetic field problems based upon coupled FE/BE formulations ⋮ Nonlinear simulation of electromagnetic fields with domain decomposition methods on MIMD parallel computers ⋮ Extended Brauer model for ferromagnetic materials: analysis and computation ⋮ A boundary and finite element coupling for a magnetically nonlinear eddy current problem ⋮ Coupling of mixed finite elements and boundary elements for linear and nonlinear elliptic problems ⋮ The application of coupled BE/FE formulations in technical magnetic field computations ⋮ Finite element approximation of a nonlinear heat conduction problem in anisotropic media ⋮ A dual-dual mixed formulation for nonlinear exterior transmission problems ⋮ Systems of Differential Algebraic Equations in Computational Electromagnetics ⋮ Topology optimization of electric machines based on topological sensitivity analysis ⋮ A novel numerical method for accelerating the computation of the steady-state in induction machines ⋮ A direct coupling of local discontinuous Galerkin and boundary element methods ⋮ Monotonicity-preserving interproximation of \(B\)-\(H\)-curves ⋮ A space-time certified reduced basis method for quasilinear parabolic partial differential equations ⋮ p-adaptive \(\text C^{k}\) generalized finite element method for arbitrary polygonal clouds ⋮ The hierarchial preconditioning on unstructured grids ⋮ Topological derivative for the nonlinear magnetostatic problem ⋮ On the numerical analysis of finite element and dirichlet-to-neumann methods for nonlinear exterior transmission problems ⋮ Solvability and Galerkin approximations of a class of nonlinear operator equations ⋮ Efficient Parallel-in-Time Solution of Time-Periodic Problems Using a MultiHarmonic Coarse Grid Correction ⋮ Reduced Basis Methods for Quasilinear Elliptic PDEs with Applications to Permanent Magnet Synchronous Motors ⋮ A posteriori error estimates for a mixed-FEM formulation of a nonlinear elliptic problem ⋮ Induced magnetic field computations using a boundary integral formulation

Uses Software

• pchip