On numerical experiments for Cauchy problems of elliptic operators

F. L. Yang; L. Ling

doi:10.1016/j.enganabound.2011.02.007

On numerical experiments for Cauchy problems of elliptic operators

F. L. Yang
, L. Ling^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

8 Citations (Scopus)

62 Downloads (Pure)

Abstract

Over the last decade, there has been a considerable amount of new numerical methods being developed for solving the Cauchy problems of elliptic operators. In this paper, with some new classes of numerical experiments, we re-verify the conclusions in the review article [Wei T, Hon YC, Ling L. Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators. Eng Anal Bound Elem 2007;31(4):37385.] concerning the effectiveness of solving Cauchy problems with the method of fundamental solutions.

Original language	English
Pages (from-to)	879-882
Number of pages	4
Journal	Engineering Analysis with Boundary Elements
Volume	35
Issue number	7
DOIs	https://doi.org/10.1016/j.enganabound.2011.02.007
Publication status	Published - Jul 2011

User-Defined Keywords

Cauchy problem
Method of fundamental solution
Boundary singularity

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10.1016/j.enganabound.2011.02.007

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title = "On numerical experiments for Cauchy problems of elliptic operators",

abstract = "Over the last decade, there has been a considerable amount of new numerical methods being developed for solving the Cauchy problems of elliptic operators. In this paper, with some new classes of numerical experiments, we re-verify the conclusions in the review article [Wei T, Hon YC, Ling L. Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators. Eng Anal Bound Elem 2007;31(4):37385.] concerning the effectiveness of solving Cauchy problems with the method of fundamental solutions.",

keywords = "Cauchy problem, Method of fundamental solution, Boundary singularity",

author = "Yang, \{F. L.\} and L. Ling",

note = "Funding Information: This project was supported by the CERG Grant of Hong Kong Research Grant Council and the FRG Grant of Hong Kong Baptist University. The work described in this paper was supported by the NSF of China (10971089). ",

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AU - Yang, F. L.

AU - Ling, L.

N1 - Funding Information: This project was supported by the CERG Grant of Hong Kong Research Grant Council and the FRG Grant of Hong Kong Baptist University. The work described in this paper was supported by the NSF of China (10971089).

PY - 2011/7

Y1 - 2011/7

N2 - Over the last decade, there has been a considerable amount of new numerical methods being developed for solving the Cauchy problems of elliptic operators. In this paper, with some new classes of numerical experiments, we re-verify the conclusions in the review article [Wei T, Hon YC, Ling L. Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators. Eng Anal Bound Elem 2007;31(4):37385.] concerning the effectiveness of solving Cauchy problems with the method of fundamental solutions.

AB - Over the last decade, there has been a considerable amount of new numerical methods being developed for solving the Cauchy problems of elliptic operators. In this paper, with some new classes of numerical experiments, we re-verify the conclusions in the review article [Wei T, Hon YC, Ling L. Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators. Eng Anal Bound Elem 2007;31(4):37385.] concerning the effectiveness of solving Cauchy problems with the method of fundamental solutions.

KW - Cauchy problem

KW - Method of fundamental solution

KW - Boundary singularity

UR - https://www.scopus.com/pages/publications/79952984406

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DO - 10.1016/j.enganabound.2011.02.007

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EP - 882

JO - Engineering Analysis with Boundary Elements

JF - Engineering Analysis with Boundary Elements

IS - 7

ER -

On numerical experiments for Cauchy problems of elliptic operators

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