The generalized Dirichlet-Neumann map for linear elliptic PDEs and its numerical implementation

Journal of Computational and Applied Mathematics

Volumn 219, Issue 1, 2008, Pages 9-34

  Sifalakis, A G ^a   Fokas, A S ^b   Fulton, S R ^c   Saridakis, Y G ^a  

^a TECHNICAL UNIVERSITY OF CRETE   (Greece)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^c CLARKSON UNIVERSITY   (United States)

Author keywords

Collocation; Dirichlet Neumann map; Elliptic PDEs; Global relation; Iterative methods

Indexed keywords

AIRCRAFT ENGINES; ALUMINUM; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; FUNCTION EVALUATION; INITIAL VALUE PROBLEMS; ITERATIVE METHODS; LAPLACE EQUATION; LEAD; MAPS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; NONLINEAR ANALYSIS; NONLINEAR PROGRAMMING; NUMBER THEORY; NUMERICAL ANALYSIS; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS; SET THEORY;

ANALYTICAL METHODS; BASIS FUNCTIONS; BOUNDARY VALUES; CHEBYSHEV; COLLOCATION METHOD (CM); COLLOCATION POINTS; COMPLEX PARAMETER; CONVERGENCE (MATHEMATICS); CONVEX POLYGONS; DIAGONAL MATRICES; DIRICHLET; DIRICHLET-TO-NEUMANN MAP; EFFICIENT IMPLEMENTATION; ELLIPTIC PDES; ELSEVIER (CO); HIGHER ORDER; NEUMANN; NEW APPROACHES; NUMERICAL IMPLEMENTATION; QUADRATIC CONVERGENCE; REGULAR POLYGONS;

CONVERGENCE OF NUMERICAL METHODS;

EID: 45249092751     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2007.07.012     Document Type: Article

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