메뉴 건너뛰기




Volumn 53, Issue 6, 2007, Pages 851-879

On the equivalence of the Trefftz method and method of fundamental solutions for Laplace and biharmonic equations

Author keywords

Circulant; Condition number; Degenerate scale; Method of fundamental solutions; Trefftz method

Indexed keywords

HARMONIC ANALYSIS; LAPLACE EQUATION; MATRIX ALGEBRA; PROBLEM SOLVING;

EID: 34248149996     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2005.02.021     Document Type: Article
Times cited : (105)

References (17)
  • 2
    • 0036336872 scopus 로고    scopus 로고
    • Applications of the direct Trefftz boundary element method to the free-vibration problem of a membrane
    • Chang J.R., Liu R.F., Yieh W.C., and Kuo S.R. Applications of the direct Trefftz boundary element method to the free-vibration problem of a membrane. Journal of the Acoustic Society of America 112 2 (2002) 518-527
    • (2002) Journal of the Acoustic Society of America , vol.112 , Issue.2 , pp. 518-527
    • Chang, J.R.1    Liu, R.F.2    Yieh, W.C.3    Kuo, S.R.4
  • 3
    • 0032154169 scopus 로고    scopus 로고
    • On the fictitious frequencies using dual series representation
    • Chen J.T. On the fictitious frequencies using dual series representation. Mechanics Research Communication 25 (1998) 529-534
    • (1998) Mechanics Research Communication , vol.25 , pp. 529-534
    • Chen, J.T.1
  • 4
    • 0035480053 scopus 로고    scopus 로고
    • Analytical study and numerical experiments for degenerate scale problems in boundary element method using degenerate kernels and circulants
    • Chen J.T., Lin J.H., Kuo S.R., and Chiu Y.P. Analytical study and numerical experiments for degenerate scale problems in boundary element method using degenerate kernels and circulants. Engineering Analysis with Boundary Element 25 9 (2001) 819-828
    • (2001) Engineering Analysis with Boundary Element , vol.25 , Issue.9 , pp. 819-828
    • Chen, J.T.1    Lin, J.H.2    Kuo, S.R.3    Chiu, Y.P.4
  • 5
  • 9
    • 0001705710 scopus 로고
    • The method of fundamental solutions for the numerical solution of the biharmonic equation
    • Karageorghis A., and Fairweather G. The method of fundamental solutions for the numerical solution of the biharmonic equation. Journal of Computational Physics 69 2 (1987) 434-459
    • (1987) Journal of Computational Physics , vol.69 , Issue.2 , pp. 434-459
    • Karageorghis, A.1    Fairweather, G.2
  • 14
    • 0008215313 scopus 로고
    • A method for the approximate solution of limiting problems in mathematical physics
    • Kupradze V.D. A method for the approximate solution of limiting problems in mathematical physics. Computational Mathematics and Mathematical Physics 4 (1964) 199-205
    • (1964) Computational Mathematics and Mathematical Physics , vol.4 , pp. 199-205
    • Kupradze, V.D.1
  • 15
    • 0001741946 scopus 로고
    • On the equivalence of dual reciprocity and particular integral approaches in the BEM
    • Polyzos D., Dassios G., and Beskos D.E. On the equivalence of dual reciprocity and particular integral approaches in the BEM. Boundary Element Communications 5 (1994) 285-288
    • (1994) Boundary Element Communications , vol.5 , pp. 285-288
    • Polyzos, D.1    Dassios, G.2    Beskos, D.E.3
  • 17
    • 0040251299 scopus 로고
    • Two dimensional steady state heat conduction with a circular boundary in an infinite domain
    • Test No. 2
    • Test No. 2,. Two dimensional steady state heat conduction with a circular boundary in an infinite domain. Boundary Elements Abstracts 1 2 (1990) 90-91
    • (1990) Boundary Elements Abstracts , vol.1 , Issue.2 , pp. 90-91


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.