Open Access

ARTICLE

A Backward Group Preserving Scheme for Multi-Dimensional Backward Wave Problems

Chih-Wen Chang^1,2, Chein-Shan Liu³

1 Grid Applied Technology Division, National Center for High-Performance Computing, Taichung40763, Taiwan
2 Corresponding author, Tel.: +886-4-24620202x860. E-mail address: d9351002@nchc.org.tw
3 Department of Civil Engineering, National Taiwan University, Taipei 10617, Taiwan

Computers, Materials & Continua 2010, 19(1), 17-36. https://doi.org/10.3970/cmc.2010.019.017

Abstract

The present study shows a backward group preserving scheme (BGPS) to deal with the multi-dimensional backward wave problem (BWP). The BWP is well-known as seriously ill-posed because the solution does not continuously count on the given data. When three numerical experiments are tested, we reveal that the BGPS is applicable to the multi-dimensional BWP. Even with noisy final data, the BGPS is also robust against perturbation. The numerical results are very pivotal in the computations of multi-dimensional BWP.

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Keywords

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