Mixed and hybrid finite element methods
Mixed and hybrid finite element methods
Canonical construction of finite elements
Mathematics of Computation
On the Convergence of Galerkin Finite Element Approximations of Electromagnetic Eigenproblems
SIAM Journal on Numerical Analysis
Natural Boundary Element Methods for the Electric Field Integral Equation on Polyhedra
SIAM Journal on Numerical Analysis
Coupling of Finite Elements and Boundary Elements in Electromagnetic Scattering
SIAM Journal on Numerical Analysis
p Interpolation Error Estimates for Edge Finite Elements of Variable Order in Two Dimensions
SIAM Journal on Numerical Analysis
Discrete Fredholm properties and convergence estimates for the electric field integral equation
Mathematics of Computation
SIAM Journal on Numerical Analysis
Discrete Compactness for the hp Version of Rectangular Edge Finite Elements
SIAM Journal on Numerical Analysis
Optimal Error Estimation for ${\bfH}({\rmcurl})$-Conforming $p$-Interpolation in Two Dimensions
SIAM Journal on Numerical Analysis
Discrete Compactness for the $p$-Version of Discrete Differential Forms
SIAM Journal on Numerical Analysis
Discrete Compactness for the $p$-Version of Discrete Differential Forms
SIAM Journal on Numerical Analysis
ACA accelerated high order BEM for Maxwell problems
Computational Mechanics
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We consider the variational formulation of the electric field integral equation on bounded polyhedral open or closed surfaces. We employ a conforming Galerkin discretization based on $\mathrm{div}_{\Gamma}$-conforming Raviart-Thomas boundary elements of locally variable polynomial degree on shape-regular surface meshes. We establish asymptotic quasi optimality of Galerkin solutions on sufficiently fine meshes or for sufficiently high polynomial degrees.