On the Convergence of the h-p Finite Element Method for Solving Boundary Value Problems in Physical Geodesy

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F18%3A00309823" target="_blank" >RIV/68407700:21110/18:00309823 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.springer.com/us/book/9783319691695" target="_blank" >https://www.springer.com/us/book/9783319691695</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/1345_2016_237" target="_blank" >10.1007/1345_2016_237</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On the Convergence of the h-p Finite Element Method for Solving Boundary Value Problems in Physical Geodesy

Popis výsledku v původním jazyce

A geopotential model of the Earth is usually calculated using the Stokes coefficients. As computational power has increased, research is focusing more on new ways of gravity field modelling. The objective of this work is to study an application of the h-p finite element method for solving boundary value problems in physical geodesy. For the purpose of studying this method, we have formulated model boundary value problems with different boundary conditions. The algorithm for solving these test problems was designed and was subsequently implemented by the program. We derived a weak formulation for each model boundary value problem and also the corresponding finite element discretization. We used isoparametric reference elements with linear and quadratic shape functions. The authors present the application of the h and p methodologies for increasing the rate of convergence of our solution, discuss mesh generation for large domains, and also solve the model boundary value problem, which is similar to the geodetic boundary value problem.

Název v anglickém jazyce

On the Convergence of the h-p Finite Element Method for Solving Boundary Value Problems in Physical Geodesy

Popis výsledku anglicky

A geopotential model of the Earth is usually calculated using the Stokes coefficients. As computational power has increased, research is focusing more on new ways of gravity field modelling. The objective of this work is to study an application of the h-p finite element method for solving boundary value problems in physical geodesy. For the purpose of studying this method, we have formulated model boundary value problems with different boundary conditions. The algorithm for solving these test problems was designed and was subsequently implemented by the program. We derived a weak formulation for each model boundary value problem and also the corresponding finite element discretization. We used isoparametric reference elements with linear and quadratic shape functions. The authors present the application of the h and p methodologies for increasing the rate of convergence of our solution, discuss mesh generation for large domains, and also solve the model boundary value problem, which is similar to the geodetic boundary value problem.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

10300 - Physical sciences

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název statě ve sborníku

International Symposium on Earth and Environmental Sciences for Future Generations

ISBN

978-3-319-69169-5

ISSN

0939-9585

e-ISSN

0939-9585

Počet stran výsledku

7

Strana od-do

39-45

Název nakladatele

Springer Nature

Místo vydání

—

Místo konání akce

Praha

Datum konání akce

22. 6. 2015

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000424825200006