On the advantages and drawbacks of a posteriori error estimation for fourth-order elliptic problems

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F13%3A00384234" target="_blank" >RIV/67985840:_____/13:00384234 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/978-94-007-5288-7_8" target="_blank" >http://dx.doi.org/10.1007/978-94-007-5288-7_8</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-94-007-5288-7_8" target="_blank" >10.1007/978-94-007-5288-7_8</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On the advantages and drawbacks of a posteriori error estimation for fourth-order elliptic problems

Popis výsledku v původním jazyce

In this survey contribution, we present and compare, from the viewpoint of adaptive computation, several recently published error estimation procedures for the numerical solution of biharmonic and some further fourth order elliptic problems mostly in 2D.In the hp-adaptive finite element method, there are two possibilities to assess the error of the computed solution a posteriori: to construct a classical analytical error estimate or to obtain a more accurate reference solution by the same procedure asthe approximate solution and, from it, the computational error estimate. For the lack of space, we sometimes only refer to the notation introduced in the papers quoted. The complete hypotheses and statements of the theorems presented should also be looked for there.

Název v anglickém jazyce

On the advantages and drawbacks of a posteriori error estimation for fourth-order elliptic problems

Popis výsledku anglicky

In this survey contribution, we present and compare, from the viewpoint of adaptive computation, several recently published error estimation procedures for the numerical solution of biharmonic and some further fourth order elliptic problems mostly in 2D.In the hp-adaptive finite element method, there are two possibilities to assess the error of the computed solution a posteriori: to construct a classical analytical error estimate or to obtain a more accurate reference solution by the same procedure asthe approximate solution and, from it, the computational error estimate. For the lack of space, we sometimes only refer to the notation introduced in the papers quoted. The complete hypotheses and statements of the theorems presented should also be looked for there.

Druh

C - Kapitola v odborné knize

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/IAA100190803" target="_blank" >IAA100190803: Metoda konečných prvků pro vícerozměrné problémy</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2013

Kód důvěrnosti údajů

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

Název knihy nebo sborníku

Numerical Methods for differential equations, optimization, and technological problems

ISBN

978-94-007-5287-0

Počet stran výsledku

14

Strana od-do

145-158

Počet stran knihy

444

Název nakladatele

Springer

Místo vydání

Dordrecht

Kód UT WoS kapitoly

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