A direct solver with O(N) complexity for variable coefficient elliptic pdes discretized via a high-order composite spectral collocation method

SIAM Journal on Scientific Computing

Volumn 36, Issue 4, 2014, Pages A2023-A2046

  Gillman, A ^a   Martinsson, P G ^b  

^a Lamont Doherty Earth Observatory   (United States)

^b UNIVERSITY OF COLORADO   (United States)

Author keywords

Dirichlet to Neumann operator; Fast direct solver; Hierarchically block separable matrix; High order discretization; Multidomain spectral method; Multifrontal method; Nested dissection; Poincar Steklov operator; Reduction to interface; Structured matrix algebra

Indexed keywords

DIFFUSION IN LIQUIDS; ITERATIVE METHODS; NUMERICAL METHODS; PROGRAM PROCESSORS;

% REDUCTIONS; DIRECT SOLVERS; DIRICHLET-TO-NEUMANN; DIRICHLET-TO-NEUMANN OPERATOR; FAST DIRECT SOLV; HIERARCHICALLY BLOCK SEPARABLE MATRIX; HIGHER ORDER DISCRETIZATION; MULTI-DOMAINS; MULTIDOMAIN SPECTRAL METHOD; MULTIFRONTAL METHODS; NESTED DISSECTION; POINCARE; POINCARE-STEKLOV OPERATOR; REDUCTION TO INTERFACE; SEPARABLE MATRICES; SPECTRAL METHODS; STRUCTURED MATRIX ALGEBRA; STRUCTURED-MATRICES;

MATRIX ALGEBRA;

EID: 84987617598     PISSN: 10648275     EISSN: 10957197     Source Type: Journal    
DOI: 10.1137/130918988     Document Type: Article

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