On the Convergence of the h-p Finite Element Method for Solving Boundary Value Problems in Physical Geodesy
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
On the Convergence of the h-p Finite Element Method for Solving Boundary Value Problems in Physical Geodesy
Original language description
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.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
—
OECD FORD branch
10300 - Physical sciences
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
International Symposium on Earth and Environmental Sciences for Future Generations
ISBN
978-3-319-69169-5
ISSN
0939-9585
e-ISSN
0939-9585
Number of pages
7
Pages from-to
39-45
Publisher name
Springer Nature
Place of publication
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Event location
Praha
Event date
Jun 22, 2015
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000424825200006