## Treatment of incompatible initial and boundary data for parabolic equations in higher dimension

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- by Qingshan Chen, Zhen Qin and Roger Temam PDF
- Math. Comp.
**80**(2011), 2071-2096 Request permission

## Abstract:

A new method is proposed to improve the numerical simulation of time dependent problems when the initial and boundary data are not compatible. Unlike earlier methods limited to space dimension one, this method can be used for any space dimension. When both methods are applicable (in space dimension one), the improvements in precision are comparable, but the method proposed here is not restricted by dimension.## References

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## Additional Information

**Qingshan Chen**- Affiliation: Department of Scientific Computing, The Florida State University, Tallahassee, Florida 32306
- Email: qchen3@fsu.edu
**Zhen Qin**- Affiliation: The Institute for Scientific Computing and Applied Mathematics, Indiana University, Bloomington, Indiana 47405
- Email: qinz@indiana.edu
**Roger Temam**- Affiliation: The Institute for Scientific Computing and Applied Mathematics, Indiana University, Bloomington, Indiana 47405
- MR Author ID: 171480
- Email: temam@indiana.edu
- Received by editor(s): February 18, 2010
- Received by editor(s) in revised form: July 16, 2010
- Published electronically: April 14, 2011
- © Copyright 2011 American Mathematical Society
- Journal: Math. Comp.
**80**(2011), 2071-2096 - MSC (2010): Primary 35K20; Secondary 65M06
- DOI: https://doi.org/10.1090/S0025-5718-2011-02469-5
- MathSciNet review: 2813349