ON COMMUTING p-VERSION PROJECTION-BASED INTERPOLATION ON TETRAHEDRA

被引：18

作者：

Melenk, J. M. ^{[1
]}

Rojik, C. ^{[1
]}

机构：

[1] Tech Univ Wien, Inst Anal & Sci Comp, Wiedner Hauptstr 8-10, A-1040 Vienna, Austria

来源：

MATHEMATICS OF COMPUTATION | 2020年 / 89卷 / 321期

基金：

奥地利科学基金会;

关键词：

p-version FEM; commuting diagram; Maxwell equations; FINITE-ELEMENT-METHOD; SPACES; LIFTINGS; BOUNDARY; H(CURL); TRACES; H-1;

D O I：

10.1090/mcom/3454

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

On the reference tetrahedron (K) over cap, we define three projection-based interpolation operators on H-2((K) over cap), H-1((K) over cap, curl), and H-1((K) over cap, div). These operators are projections onto spaces of polynomials, they have the commuting diagram property, and they feature the optimal convergence rate as the polynomial degree increases in H1-s((K) over cap), (H) over tilde (-s)((K) over cap, curl), and (H) over tilde (-s)((K) over cap, div) for 0 <= s <= 1.

引用

页码：45 / 87

页数：43

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