Discrete maximum principle for Poisson equation with mixed boundary conditions solved by hp-FEM

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F09%3A00335918" target="_blank" >RIV/67985840:_____/09:00335918 - isvavai.cz</a>

Alternative codes found

RIV/67985840:_____/09:00358615 RIV/61388998:_____/09:00358615

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Discrete maximum principle for Poisson equation with mixed boundary conditions solved by hp-FEM

Original language description

We present a proof of the discrete maximum principle (DMP) for the 1D Poisson equation equipped with mixed Dirichlet-Neumann boundary conditions. The problem is discretized using finite elements of arbitrary lengths and polynomial degrees (hp-FEM). We show that the DMP holds on all meshes with no limitations to the sizes and polynomial degrees of the elements.

Czech name

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Czech description

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Type

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

CEP classification

BA - General mathematics

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2009

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

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Volume of the periodical

1

Issue of the periodical within the volume

2

Country of publishing house

CN - CHINA

Number of pages

14

Pages from-to

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UT code for WoS article

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EID of the result in the Scopus database

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