In this note we show that conforming Galerkin approximations for p-harmonic functions tend to ∞-harmonic functions in the limit p → ∞ and h → 0, where h denotes the Galerkin discretisation parameter
We analyze the conforming approximation of the time-harmonic Maxwell's equations using N\'ed\'elec (...
In this note we show that gradient of harmonic functions on a smooth domain with Lipschitz boundary ...
We propose a finite volume scheme for the approximation of a biharmonic problem with Dirichlet bound...
We study the approximation of harmonic functions by means of harmonic polynomials in two-dimensional...
Abstract. We study the approximation properties of a harmonic function u ∈ H1−k(Ω), k> 0, on a re...
Both practice and analysis of p-FEMs and adaptive hp-FEMs raise the question what increment in the c...
We describe how a discontinuous Galerkin finite element method with interior penalty can be used to ...
In this note we study the limit as p(x) → ∞ of solutions to −∆p(x)u = 0 in a domain Ω, with Dirichle...
This thesis is a collection of published and submitted papers. Each paper is the chapter of the the...
AbstractWe give a survey of known and not known harmonic type approximation lemmas which are descend...
The proximal Galerkin finite element method is a high-order, low iteration complexity, nonlinear num...
In this note we study the limit as p(x) ! 1of solutions to − p(x)u = 0 in a domain , with Dirichl...
AbstractWe characterize p-harmonic functions including p=1 and p=∞ by using mean value properties ex...
We prove uniform convergence in Lipschitz domains of approximations to p-harmonic functions obtaine...
In this paper we prove uniform convergence of approximations to p-harmonic functions by using natura...
We analyze the conforming approximation of the time-harmonic Maxwell's equations using N\'ed\'elec (...
In this note we show that gradient of harmonic functions on a smooth domain with Lipschitz boundary ...
We propose a finite volume scheme for the approximation of a biharmonic problem with Dirichlet bound...
We study the approximation of harmonic functions by means of harmonic polynomials in two-dimensional...
Abstract. We study the approximation properties of a harmonic function u ∈ H1−k(Ω), k> 0, on a re...
Both practice and analysis of p-FEMs and adaptive hp-FEMs raise the question what increment in the c...
We describe how a discontinuous Galerkin finite element method with interior penalty can be used to ...
In this note we study the limit as p(x) → ∞ of solutions to −∆p(x)u = 0 in a domain Ω, with Dirichle...
This thesis is a collection of published and submitted papers. Each paper is the chapter of the the...
AbstractWe give a survey of known and not known harmonic type approximation lemmas which are descend...
The proximal Galerkin finite element method is a high-order, low iteration complexity, nonlinear num...
In this note we study the limit as p(x) ! 1of solutions to − p(x)u = 0 in a domain , with Dirichl...
AbstractWe characterize p-harmonic functions including p=1 and p=∞ by using mean value properties ex...
We prove uniform convergence in Lipschitz domains of approximations to p-harmonic functions obtaine...
In this paper we prove uniform convergence of approximations to p-harmonic functions by using natura...
We analyze the conforming approximation of the time-harmonic Maxwell's equations using N\'ed\'elec (...
In this note we show that gradient of harmonic functions on a smooth domain with Lipschitz boundary ...
We propose a finite volume scheme for the approximation of a biharmonic problem with Dirichlet bound...