The L p -Helmholtz projection in finite cylinders

$L^p$ boundedness of the Bergman projection on some generalized Hartogs triangles

‎In this paper we investigate a two classes of domains in $mathbb{C}^n$ generalizing the Hartogs triangle‎. ‎We prove optimal estimates for the mapping properties of the Bergman projection on these domains.

A Rationale for p-refinement with the Vector Helmholtz Equation and Two Dimensional Vector Finite Elements

A preliminary study of p-refinement with vector finite elements is reported. Results suggest that improved accuracy can be obtained from representations employing a mixture of polynomial orders instead of a uniform polynomial order. Results also suggest that it might be possible to jump directly from the local error in a p=0 expansion to a final representation employing 5 or more polynomial ord...

The Stability in- L and W^ of the L2-Projection onto Finite Element Function Spaces

The stability of the Z.2-projection onto some standard finite element spaces Vh, considered as a map in Lp and W^, 1 ^ p < oo, is shown under weaker regularity requirements than quasi-uniformity of the triangulations underlying the definitions of the Vh. 0. Introduction. The purpose of this paper is to show the stability in Lp and Wp, for 1 < p < oo, of the L2-projection onto some standard fini...

On the Continuity in Bv(ß) of the L -projection into Finite Element Spaces

We show how to obtain continuity in the BV(D.)-seminorm of the L -projection of us BV(íí) into a large class of finite element spaces.

Wideband Electromagnetic Analysis of Finite- Conductivity Cylinders