Adaptive hp-FEM with Arbitrary-Level Hanging Nodes for Maxwell's Equations

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F10%3A00174443" target="_blank" >RIV/68407700:21230/10:00174443 - isvavai.cz</a>

Alternative codes found

RIV/61388998:_____/10:00347677

Result on the web

—

DOI - Digital Object Identifier

—

Result language

angličtina

Original language name

Adaptive hp-FEM with Arbitrary-Level Hanging Nodes for Maxwell's Equations

Original language description

Adaptive higher-order finite element methods (hp-FEM) are well known for their potential of exceptionally fast (exponential) convergence. However, most hp-FEM codes remain in an academic setting due to an extreme algorithmic complexity of hp-adaptivity algorithms. This paper aims at simplifying hp-adaptivity for H(curl)-conforming approximations by presenting a novel technique of arbitrary-level hanging nodes. The technique is described and it is demonstrated numerically that it makes adaptive hp-FEM more efficient compared to hp-FEM on regular meshes and meshes with one-level hanging nodes.

Czech name

—

Czech description

—

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

JE - Non-nuclear power engineering, energy consumption and utilization

OECD FORD branch

—

Project

—

Continuities

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Publication year

2010

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Advances in Applied Mathematics and Mechanics

ISSN

2070-0733

e-ISSN

—

Volume of the periodical

2

Issue of the periodical within the volume

4

Country of publishing house

CN - CHINA

Number of pages

15

Pages from-to

—

UT code for WoS article

000286402400007

EID of the result in the Scopus database

—