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Volumn 65, Issue 215, 1996, Pages 943-982

Boundary element monotone iteration scheme for semilinear elliptic partial differential equations

Author keywords

Boundary elements; Elliptic type; Nonlinear PDE; Numerical PDE; Potential theory

Indexed keywords

CONVERGENCE RATE; ELLIPTIC EQUATION; ERROR ESTIMATION; GALERKIN METHOD; IMPLEMENTATION; POTENTIAL THEORY; SEMI LINEAR EQUATION;

EID: 0030353044     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-96-00743-0     Document Type: Article
Times cited : (38)

References (30)
  • 2
    • 0040565900 scopus 로고    scopus 로고
    • M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions, Dover, New York, 1965. MR 34:8607
    • MR , vol.34 , pp. 8607
  • 3
    • 49349138289 scopus 로고    scopus 로고
    • Super solution, monotone iteration and stability
    • H. Amann, Super solution, monotone iteration and stability, J. Diff. Eq. 21 (1976). 367-377. MR 53:11226
    • (1976) J. Diff. Eq. , vol.21 , pp. 367-377
    • Amann, H.1
  • 4
    • 49349138289 scopus 로고    scopus 로고
    • H. Amann, Super solution, monotone iteration and stability, J. Diff. Eq. 21 (1976). 367-377. MR 53:11226
    • MR , vol.53 , pp. 11226
  • 5
    • 34548350707 scopus 로고    scopus 로고
    • Dual variational methods in critical point theory and applications
    • A. Ambrosetti and P. Rabinowitz, Dual variational methods in critical point theory and applications, J. Funct. Anal. 14 (1973), 349-381. MR 51:6412
    • (1973) J. Funct. Anal. , vol.14 , pp. 349-381
    • Ambrosetti, A.1    Rabinowitz, P.2
  • 6
    • 34548350707 scopus 로고    scopus 로고
    • A. Ambrosetti and P. Rabinowitz, Dual variational methods in critical point theory and applications, J. Funct. Anal. 14 (1973), 349-381. MR 51:6412
    • MR , vol.51 , pp. 6412
  • 8
    • 0039799049 scopus 로고    scopus 로고
    • I. Babuška and A.K. Aziz, The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations, Academic Press, New York. 1972. MR 54:9111
    • MR , vol.54 , pp. 9111
  • 11
    • 0039276326 scopus 로고    scopus 로고
    • G. Chen and J. Zhou, Boundary Element Methods, Academic Press, London, 1992. MR 93e:65143
    • MR , vol.93 E , pp. 65143
  • 15
    • 0041700840 scopus 로고    scopus 로고
    • G. Fichera, Proc. of Symposium on Partial Differential Equations and Continuum Mechanics (R.E. Langer, ed.), 55-80, Univ. of Wisconsin Press, Madison, Wisconsin, 1961. MR 27:6016
    • MR , vol.27 , pp. 6016
  • 16
    • 0019632578 scopus 로고    scopus 로고
    • The Aubin-Nitsche lemma for integral equations
    • G.C. Hsiao and W.L. Wendland, The Aubin-Nitsche lemma for integral equations, J. Integral Eq. 3 (1981), 299-315. MR 83j:45019
    • (1981) J. Integral Eq. , vol.3 , pp. 299-315
    • Hsiao, G.C.1    Wendland, W.L.2
  • 17
    • 0019632578 scopus 로고    scopus 로고
    • G.C. Hsiao and W.L. Wendland, The Aubin-Nitsche lemma for integral equations, J. Integral Eq. 3 (1981), 299-315. MR 83j:45019
    • MR , vol.83 J , pp. 45019
  • 19
    • 0039207006 scopus 로고    scopus 로고
    • J.L. Lions, Quelques Méthodes de Résolution des Problèmes aux Limites Non Lineaires, Dunod, Paris, 1969. MR 41:4326
    • MR , vol.41 , pp. 4326
  • 22
    • 0043203645 scopus 로고    scopus 로고
    • M. Protter and H. Weinberger, Maximum Principles in Differential Equations, Prentice-Hall, Englewood Cliffs, New Jersey, 1967. MR 36:2935
    • MR , vol.36 , pp. 2935
  • 23
    • 0002042563 scopus 로고    scopus 로고
    • On the convergence of the Galerkin method for nonsmooth solutions of integral equations
    • K. Ruotsalainen and J. Saranen, On the convergence of the Galerkin method for nonsmooth solutions of integral equations, Num. Math. 54 (1988), 295-302. MR 90a:65281
    • (1988) Num. Math. , vol.54 , pp. 295-302
    • Ruotsalainen, K.1    Saranen, J.2
  • 24
    • 0002042563 scopus 로고    scopus 로고
    • K. Ruotsalainen and J. Saranen, On the convergence of the Galerkin method for nonsmooth solutions of integral equations, Num. Math. 54 (1988), 295-302. MR 90a:65281
    • MR , vol.90 A , pp. 65281
  • 25
    • 0042201323 scopus 로고
    • On the boundary element method for a nonlinear boundary value problem
    • (C.A. Brebbia, ed.), Springer-Verlag, New York
    • K. Ruotsalainen and W.L. Wendland, On the boundary element method for a nonlinear boundary value problem, Boundary Elements IX (C.A. Brebbia, ed.), Springer-Verlag, New York, 1987, pp. 385-393. MR 90e:65161
    • (1987) Boundary Elements IX , pp. 385-393
    • Ruotsalainen, K.1    Wendland, W.L.2
  • 26
    • 0043203727 scopus 로고    scopus 로고
    • K. Ruotsalainen and W.L. Wendland, On the boundary element method for a nonlinear boundary value problem, Boundary Elements IX (C.A. Brebbia, ed.), Springer-Verlag, New York, 1987, pp. 385-393. MR 90e:65161
    • MR , vol.90 E , pp. 65161
  • 27
    • 0043203659 scopus 로고
    • An iterative boundary integral equation method for mildly nonlinear elliptic partial differential equations
    • (C.A. Brebbia and G. Maier, ed.), Springer-Verlag, Berlin-Heidelberg
    • M. Sakakihara, An iterative boundary integral equation method for mildly nonlinear elliptic partial differential equations, Boundary Elements VII (C.A. Brebbia and G. Maier, ed.), vol. . II, Springer-Verlag, Berlin-Heidelberg, 1985, pp. 13.49-13.58. CMP 20:14
    • (1985) Boundary Elements VII , vol.2 , pp. 1349-1358
    • Sakakihara, M.1
  • 28
    • 0042201378 scopus 로고    scopus 로고
    • M. Sakakihara, An iterative boundary integral equation method for mildly nonlinear elliptic partial differential equations, Boundary Elements VII (C.A. Brebbia and G. Maier, ed.), vol. . II, Springer-Verlag, Berlin-Heidelberg, 1985, pp. 13.49-13.58. CMP 20:14
    • CMP , vol.20 , pp. 14
  • 29
    • 0003216520 scopus 로고
    • Topics in stability and bifurcation theory
    • Springer-Verlag, New York
    • D. Sattinger, Topics in Stability and Bifurcation Theory, Lecture Notes in Mathematics, vol. . 309, Springer-Verlag, New York, 1973. MR 57:3569
    • (1973) Lecture Notes in Mathematics , vol.309
    • Sattinger, D.1
  • 30
    • 0043203728 scopus 로고    scopus 로고
    • D. Sattinger, Topics in Stability and Bifurcation Theory, Lecture Notes in Mathematics, vol. . 309, Springer-Verlag, New York, 1973. MR 57:3569
    • MR , vol.57 , pp. 3569


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.