An Explicit Local Space-Time Adaptive Framework for Monodomain Models Article Swipe
Dennis Ogiermann
,
Daniel Balzani
,
Luigi E. Perotti
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2310.07607
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2310.07607
We present a new explicit local space-time adaptive framework to decrease the time required for monodomain simulations for cardiac electrophysiology. Based on the localized structure of the steep activation wavefront in solutions to monodomain problems, the proposed framework adopts small time steps and a tree-based adaptive mesh refinement scheme only in the regions necessary to resolve these localized structures. The time step and mesh adaptation selection process is fully controlled by a combination of local error indicators. The main contributions of this work consist in the introduction of a primal symmetric interior penalty formulation of the monodomain model and an efficient algorithmic strategy to manage local time stepping for its temporal discretization. In a first serial implementation of this framework, we report decreases in wall-clock time between 2 and 20 times with respect to an optimized implementation of a commonly used numerical scheme, showing that this framework is a promising candidate to accelerate monodomain simulations of cardiac electrophysiology.
Related Topics
Concepts
Discretization
Wavefront
Computer science
Process (computing)
Space time
Spacetime
Adaptation (eye)
Algorithm
Adaptive mesh refinement
Selection (genetic algorithm)
Mathematical optimization
Mathematics
Physics
Computational science
Mathematical analysis
Artificial intelligence
Quantum mechanics
Optics
Chemical engineering
Operating system
Engineering
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2310.07607
- https://arxiv.org/pdf/2310.07607
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4387596504
All OpenAlex metadata
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https://openalex.org/W4387596504Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2310.07607Digital Object Identifier
- Title
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An Explicit Local Space-Time Adaptive Framework for Monodomain ModelsWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2023Year of publication
- Publication date
-
2023-10-11Full publication date if available
- Authors
-
Dennis Ogiermann, Daniel Balzani, Luigi E. PerottiList of authors in order
- Landing page
-
https://arxiv.org/abs/2310.07607Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2310.07607Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/2310.07607Direct OA link when available
- Concepts
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Discretization, Wavefront, Computer science, Process (computing), Space time, Spacetime, Adaptation (eye), Algorithm, Adaptive mesh refinement, Selection (genetic algorithm), Mathematical optimization, Mathematics, Physics, Computational science, Mathematical analysis, Artificial intelligence, Quantum mechanics, Optics, Chemical engineering, Operating system, EngineeringTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
0Total citation count in OpenAlex
- Related works (count)
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.localized | 23, 57 |
| abstract_inverted_index.necessary | 53 |
| abstract_inverted_index.numerical | 141 |
| abstract_inverted_index.optimized | 135 |
| abstract_inverted_index.problems, | 34 |
| abstract_inverted_index.promising | 149 |
| abstract_inverted_index.selection | 65 |
| abstract_inverted_index.solutions | 31 |
| abstract_inverted_index.structure | 24 |
| abstract_inverted_index.symmetric | 90 |
| abstract_inverted_index.wavefront | 29 |
| abstract_inverted_index.accelerate | 152 |
| abstract_inverted_index.activation | 28 |
| abstract_inverted_index.adaptation | 64 |
| abstract_inverted_index.controlled | 69 |
| abstract_inverted_index.framework, | 119 |
| abstract_inverted_index.monodomain | 15, 33, 96, 153 |
| abstract_inverted_index.refinement | 47 |
| abstract_inverted_index.space-time | 6 |
| abstract_inverted_index.tree-based | 44 |
| abstract_inverted_index.wall-clock | 124 |
| abstract_inverted_index.algorithmic | 101 |
| abstract_inverted_index.combination | 72 |
| abstract_inverted_index.formulation | 93 |
| abstract_inverted_index.indicators. | 76 |
| abstract_inverted_index.simulations | 16, 154 |
| abstract_inverted_index.structures. | 58 |
| abstract_inverted_index.introduction | 86 |
| abstract_inverted_index.contributions | 79 |
| abstract_inverted_index.implementation | 116, 136 |
| abstract_inverted_index.discretization. | 111 |
| abstract_inverted_index.electrophysiology. | 19, 157 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 3 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/16 |
| sustainable_development_goals[0].score | 0.5799999833106995 |
| sustainable_development_goals[0].display_name | Peace, Justice and strong institutions |
| citation_normalized_percentile.value | 0.14535881 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |