A Legendre spectral Galerkin method for the biharmonic Dirichlet problem

SIAM Journal on Scientific Computing

Volumn 22, Issue 5, 2001, Pages 1549-1569

  Bialecki, B ^a   Karageorghis, A ^a  

^a Department of Metallurgical and Materials Engineering   (United States)

Author keywords

Biharmonic Dirichlet problem; Cholesky method; Preconditioned conjugate gradient method; Schur complement matrix; Spectral Galerkin method

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; GRADIENT METHODS; LINEAR SYSTEMS; MATHEMATICAL TECHNIQUES; POLYNOMIALS;

SCHUR COMPLEMENT MATRIX;

GALERKIN METHODS;

EID: 0034775740     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827598342407     Document Type: Article

References (8)

1. A Legendre spectral collocation method for the biharmonic Dirichlet problem
2. Efficient algorithms for solving a fourth-order equation with the spectral-Galerkin method
3. A mixed finite element method for the biharmonic equation
4. Efficient Chebyshev-Legendre Galerkin methods for elliptic problems
5. Efficient spectral-Galerkin method. I. Direct solvers of second- and fourth-order equations using Legendre polynomials