Boundary-domain integral equations for the diffusion equation in inhomogeneous media based on a new family of parametrices
- Submitting institution
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Oxford Brookes University
- Unit of assessment
- 12 - Engineering
- Output identifier
- 185739101
- Type
- D - Journal article
- DOI
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10.1080/17476933.2019.1591382
- Title of journal
- Complex Variables and Elliptic Equations
- Article number
- -
- First page
- 558
- Volume
- 65
- Issue
- 4
- ISSN
- 1747-6933
- Open access status
- Compliant
- Month of publication
- April
- Year of publication
- 2019
- URL
-
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- Supplementary information
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- Request cross-referral to
- -
- Output has been delayed by COVID-19
- No
- COVID-19 affected output statement
- -
- Forensic science
- No
- Criminology
- No
- Interdisciplinary
- No
- Number of additional authors
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0
- Research group(s)
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-
- Proposed double-weighted
- No
- Reserve for an output with double weighting
- No
- Additional information
- In this paper, a different parametrix from the ones being used in the literature was explored. This opened the discussion on the construction on different parametrices and what advantages a parametrix could bring over another.
Parametrices are useful to reformulate PDE problems in terms of integral equations. In some cases, solving the problem in terms of integral equations may bring some benefits such as reduction on the computational cost, enhance the stability of algorithms. Furthermore, working within the framework of integral equations allows working within more general settings, for instance: Lipschitz domains or source terms in the distribution space.
- Author contribution statement
- -
- Non-English
- No
- English abstract
- -
