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Analysis of a finite‐infinite element method for exterior Helmholtz problems
Author(s) -
Ihlenburg Frank,
Demkowicz Leszek
Publication year - 1998
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19980781546
Subject(s) - finite element method , helmholtz free energy , helmholtz equation , mathematics , mixed finite element method , mathematical analysis , element (criminal law) , extended finite element method , calculus (dental) , geometry , physics , structural engineering , engineering , boundary value problem , political science , quantum mechanics , medicine , dentistry , law
We present new analytical results on stability and convergence for infinite elements. The key idea of our analysis is to identify the infinite elements with a Dirichlet‐to‐Neumann boundary operator.