Error Estimates and Adaptivity of the Space-Time Discontinuous Galerkin Method for Solving the Richards Equation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10490234" target="_blank" >RIV/00216208:11320/24:10490234 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21110/24:00381409
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=cxl-EZGb_h" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=cxl-EZGb_h</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10915-024-02650-x" target="_blank" >10.1007/s10915-024-02650-x</a>
Alternative languages
Result language
angličtina
Original language name
Error Estimates and Adaptivity of the Space-Time Discontinuous Galerkin Method for Solving the Richards Equation
Original language description
We present a higher-order space-time adaptive method for the numerical solution of the Richards equation that describes a flow motion through variably saturated media. The discretization is based on the space-time discontinuous Galerkin method, which provides high stability and accuracy and can naturally handle varying meshes. We derive reliable and efficient a posteriori error estimates in the residual-based norm. The estimates use well-balanced spatial and temporal flux reconstructions which are constructed locally over space-time elements or space-time patches. The accuracy of the estimates is verified by numerical experiments. Moreover, we develop the hp-adaptive method and demonstrate its efficiency and usefulness on a practically relevant example.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Scientific Computing
ISSN
0885-7474
e-ISSN
1573-7691
Volume of the periodical
101
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
39
Pages from-to
11
UT code for WoS article
001295045100002
EID of the result in the Scopus database
2-s2.0-85201539438