Convergence analysis of an adaptive edge finite element method for the 2D eddy current equations
From MaRDI portal
Publication:4675850
DOI10.1515/1569395054069017zbMath1073.78008OpenAlexW2020495022MaRDI QIDQ4675850
Ronald H. W. Hoppe, Carsten Carstensen
Publication date: 6 May 2005
Published in: Journal of Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/1569395054069017
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)
Related Items
An adaptive edge element method and its convergence for a Saddle-Point problem from magnetostatics, An adaptive FEM for a Maxwell interface problem, Unified framework for an a posteriori error analysis of non-standard finite element approximations of H(curl)-elliptic problems, Functional approach to a posteriori error estimation for elliptic optimal control problems with distributed control, A posteriori error estimator for mixed interior penalty discontinuous Galerkin finite element method for the \(\boldsymbol{H}(\operatorname{curl})\)-elliptic problems, A posteriori error estimate for a modified weak Galerkin method of 2D \(\boldsymbol{H}(\mathrm{curl})\) elliptic problems, Ana posteriorierror analysis of adaptive finite element methods for distributed elliptic control problems with control constraints, An adaptive \(P_1\) finite element method for two-dimensional Maxwell's equations, Convergence and optimality of adaptive edge finite element methods for time-harmonic Maxwell equations, Convergence analysis of a conforming adaptive finite element method for an obstacle problem, Convergence analysis of adaptive edge finite element method for variable coefficient time-harmonic Maxwell's equations, Convergence of adaptive FEM for some elliptic obstacle problem, Adaptive edge element approximation of \(H(\mathrm{curl}\)-elliptic optimal control problems with control constraints, Convergence analysis of an adaptive edge element method for Maxwell's equations, Convergence of an AEFEM for time-harmonic Maxwell equations with variable coefficients, Convergence of adaptive edge finite element methods forH(curl)-elliptic problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mixed finite elements in \(\mathbb{R}^3\)
- Adaptive multigrid and domain decomposition methods in the computation of electromagnetic fields
- Adaptive finite element methods with convergence rates
- Multigrid in H(div) and H(curl)
- Finite elements in computational electromagnetism
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- Vector potentials in three-dimensional non-smooth domains
- Multigrid Method for Maxwell's Equations
- Data Oscillation and Convergence of Adaptive FEM
- Finite Element Methods for Maxwell's Equations
- Local problems on stars: A posteriori error estimators, convergence, and performance
- A Convergent Adaptive Algorithm for Poisson’s Equation
- Residual based a posteriori error estimators for eddy current computation
- An algebraic multigrid method for finite element discretizations with edge elements