Publication:

Novel Well-Balanced Continuous Interior Penalty Stabilizations

Date

Date

Date
2024
Journal Article
Published version

Citations

Citation copied

Micalizzi, L., Ricchiuto, M., & Abgrall, R. (2024). Novel Well-Balanced Continuous Interior Penalty Stabilizations. Journal of Scientific Computing, 100, 14. https://doi.org/10.1007/s10915-024-02563-9

Abstract

Abstract

Abstract

In this work, the high order accuracy and the well-balanced (WB) properties of some novel continuous interior penalty (CIP) stabilizations for the Shallow Water (SW) equations are investigated. The underlying arbitrary high order numerical framework is given by a Residual Distribution (RD)/continuous Galerkin (CG) finite element method (FEM) setting for the space discretization coupled with a Deferred Correction (DeC) time integration, to have a fully-explicit scheme. If, on the one hand, the introduced CIP stabilizations are all spec

Metrics

Downloads

1 since deposited on 2024-07-01
Acq. date: 2025-11-13

Views

47 since deposited on 2024-07-01
Acq. date: 2025-11-13

Additional indexing

Creators (Authors)

Journal/Series Title

Journal/Series Title

Journal/Series Title

Volume

Volume

Volume
100

Number

Number

Number
1

Page range/Item number

Page range/Item number

Page range/Item number
14

Item Type

Item Type

Item Type
Journal Article

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Keywords

Mathematics subject classification: 65M12, 65M22, 65M60 Keywords: Continuous interior penalty, Well-balancing, Arbitrary high order

Language

Language

Language
English

Publication date

Publication date

Publication date
2024-07-01

Date available

Date available

Date available
2024-07-01

Publisher

Publisher

Publisher

ISSN or e-ISSN

ISSN or e-ISSN

ISSN or e-ISSN
0885-7474

Additional Information

Additional Information

Additional Information
Data Availability: All codes and data will be made available on reasonable request. Funding: L. Micalizzi has been funded by the SNF grant 200020_204917 and by the LeRoy B. Martin, Jr. Distinguished Professorship Foundation. R. Abgrall has been funded by the SNF grant 200020_204917. M. Ricchiuto is a member of the CARDAMOM team at INRIA University of Bordeaux.

OA Status

OA Status

OA Status
Closed

Other Identification Number

Other Identification Number

Other Identification Number
MR4752397

Metrics

Downloads

1 since deposited on 2024-07-01
Acq. date: 2025-11-13

Views

47 since deposited on 2024-07-01
Acq. date: 2025-11-13

Citations

Citation copied

Micalizzi, L., Ricchiuto, M., & Abgrall, R. (2024). Novel Well-Balanced Continuous Interior Penalty Stabilizations. Journal of Scientific Computing, 100, 14. https://doi.org/10.1007/s10915-024-02563-9

Closed
Loading...
Thumbnail Image

Files

Files

Files
Files available to download:1

Files

Files

Files
Files available to download:1
Loading...
Thumbnail Image