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Approximation classes for adaptive higher order finite element approximation
(Amer Mathematical Soc, 2014-07)
We provide an almost characterization of the approximation classes appearing when using adaptive finite elements of Lagrange type of any fixed polynomial degree. The characterization is stated in terms of Besov regularity, ...
Approximation classes for adaptive time-stepping finite element methods
(Cornell University, 2021-03)
We study approximation classes for adaptive time-stepping finite element methods for time-dependent Partial Differential Equations (PDE). We measure the approximation error in L2([0, T) × Ω) and consider the approximation ...
A new procedure for the construction of hierarchical high order Hdiv and Hcurl finite element spaces
(Elsevier Science BvAmsterdamHolanda, 2013)
Correction to: finite element approximation of the spectrum of the curl operator in a multiply connected domain
(Foundations of computational mathematics, 2020)
A nonconforming mixed finite element method for Maxwell's equations
(World Scientific, 2000-02)
We present a nonconforming mixed finite element scheme for the approximate solution of the time-harmonic Maxwell's equations in a three-dimensional, bounded domain with absorbing boundary conditions on artificial boundaries. ...
Some estimates for resolvent operators under the discretization by finite element method
(2015-10-24)
This paper is devoted to obtain some norm estimates for the difference between the two resolvent operators under the discretization of the domain (Formula presented.), by finite element method.