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Volumn 32, Issue 5, 2008, Pages 353-367

A generalized Ritz method for partial differential equations in domains of arbitrary geometry using global shape functions

Author keywords

Analog equation; Boundary element method; Global shape functions; Meshless; Optimal multiquadrics; Partial differential equations; Ritz method; Variational

Indexed keywords

ANISOTROPY; COMPUTATIONAL GEOMETRY; PARTIAL DIFFERENTIAL EQUATIONS; VARIATIONAL TECHNIQUES;

EID: 42949123346     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2007.09.001     Document Type: Article
Times cited : (19)

References (10)
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    • Ritz, W.1
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    • Filippov VM. Construction of extremal variational principles in non-Euler functional classes for PDE's of second order with nonpotential operators. f{cyrillic}i{cyrillic}z{cyrillic}i{cyrillic}k{cyrillic}a{cyrillic} e{cyrillic}l{cyrillic}ye{cyrillic}m{cyrillic}ye{cyrillic}n{cyrillic}t{cyrillic}a{cyrillic}r{cyrillic}n{cyrillic}y{cyrillic}kh{cyrillic} Ch{cyrillic}a{cyrillic}s{cyrillic}t{cyrillic}i{cyrillic}ts{cyrillic}b{cyrillic}, i{cyrillic} a{cyrillic}t{cyrillic}o{cyrillic}m{cyrillic}n{cyrillic}o{cyrillic}v{cyrillic}o{cyrillic} Ya{cyrillic}d{cyrillic}r{cyrillic}a{cyrillic} 31 v{cyrillic}y{cyrillic}p{cyrillic} 7a{cyrillic} 2000;9:5-96.
    • Filippov VM. Construction of extremal variational principles in non-Euler functional classes for PDE's of second order with nonpotential operators. f{cyrillic}i{cyrillic}z{cyrillic}i{cyrillic}k{cyrillic}a{cyrillic} e{cyrillic}l{cyrillic}ye{cyrillic}m{cyrillic}ye{cyrillic}n{cyrillic}t{cyrillic}a{cyrillic}r{cyrillic}n{cyrillic}y{cyrillic}kh{cyrillic} Ch{cyrillic}a{cyrillic}s{cyrillic}t{cyrillic}i{cyrillic}ts{cyrillic}b{cyrillic}, i{cyrillic} a{cyrillic}t{cyrillic}o{cyrillic}m{cyrillic}n{cyrillic}o{cyrillic}v{cyrillic}o{cyrillic} Ya{cyrillic}d{cyrillic}r{cyrillic}a{cyrillic} 31 v{cyrillic}y{cyrillic}p{cyrillic} 7a{cyrillic} 2000;9:5-96.
  • 4
    • 0000176048 scopus 로고
    • The analog equation method. A powerful BEM-based solution technique for solving linear and nonlinear engineering problems
    • Brebbia C.A. (Ed), CMP, Southampton
    • Katsikadelis J.T. The analog equation method. A powerful BEM-based solution technique for solving linear and nonlinear engineering problems. In: Brebbia C.A. (Ed). Boundary element method XVI (1994), CMP, Southampton 167-182
    • (1994) Boundary element method XVI , pp. 167-182
    • Katsikadelis, J.T.1
  • 5
    • 32844472948 scopus 로고    scopus 로고
    • The analog equation method. A boundary-only integral equation method for nonlinear static and dynamic problems in general bodies
    • Katsikadelis J.T. The analog equation method. A boundary-only integral equation method for nonlinear static and dynamic problems in general bodies. Theor Appl Mech 27 (2002) 13-38
    • (2002) Theor Appl Mech , vol.27 , pp. 13-38
    • Katsikadelis, J.T.1
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    • Circumventing the ill-conditioning problem with multiquadric radial basis functions: applications to elliptic partial differential equations
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    • (2005) Comput Math Appl , vol.39 , pp. 123-137
    • Kansa, E.J.1    Hon, Y.C.2
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    • 28344435459 scopus 로고    scopus 로고
    • The BEM for non-homogeneous bodies
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    • A new boundary equation solution to the plate problem
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.