Combinations of the Ritz-Galerkin and finite difference methods

International Journal for Numerical Methods in Engineering

Volumn 39, Issue 11, 1996, Pages 1839-1857

  Li, Zi Cai ^a  

^a NATIONAL SUN YAT SEN UNIVERSITY   (Taiwan)

Author keywords

Combined methods; Coupling strategy; Finite difference method; Hybrid method; Penalty method; Ritz galerlin method

Indexed keywords

ALGORITHMS; BOUNDARY VALUE PROBLEMS; COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; ERRORS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS;

COUPLING STRATEGY; ELLIPTIC EQUATION; HYBRID METHOD; PENALTY METHOD; RITZ-GALERKIN METHOD; SINGULARITY PROBLEMS;

FINITE DIFFERENCE METHOD;

EID: 0030168245     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19960615)39:11<1839::AID-NME931>3.0.CO;2-C     Document Type: Article

References (6)

1. Z. C. Li and T. D. Bui, 'Six combinations of the Ritz-Galerkin and finite element methods for elliptic boundary value problems', Numer. Methods Part. Diff. Eqs. 4, 197-218 (1988).
2. Z. C. Li, 'Penalty-combined approaches to the Ritz-Galerkin and finite element methods for singularity problems of elliptic equations', Numer. Methods Part. Diff. Eqs., 8, 33-57 (1992).
3. Z. C. Li and T. D. Bui, 'The simplified hybrid-combined methods for Laplace's equation with singularitics', J. Comput. Appl. Math., 27, 171-193 (1990).
4. J. A. Nitsche, 'Über ein Variationsprinzip zur Lösung von Dirichlet Problem bei Verwendung von Teilraümen, die keinen Randbadingungen unterworfen Sind', Adhes Math. Sem. Univ. Hamburg, 36, 9-15 (1971).
5. Z. C. Li, 'A nonconforming combined method for solving Laplace's boundary value problem with singularities', Numer. Math., 49, 475-497 (1986).
6. P. G. Ciarlet, 'Basic error estimates for elliptic problems', in P. G. Ciarlet and J. L. Lions (eds.), Finite Element Methods, Part I, North-Holland, Amsterdam, 1989, pp. 17-351.