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Finite element approximation of spectral problems with Neumann boundary conditions on curved domains
Author(s):
Erwin
Hernández;
Rodolfo
Rodríguez.
Journal:
Math. Comp.
72
(2003),
1099-1115.
MSC (2000):
Primary 65N25, 65N30;
Secondary 70J30
Posted:
December 3, 2002
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Abstract:
This paper deals with the finite element approximation of the spectral problem for the Laplace equation with Neumann boundary conditions on a curved nonconvex domain  . Convergence and optimal order error estimates are proved for standard piecewise linear continuous elements on a discrete polygonal domain  in the framework of the abstract spectral approximation theory.
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Additional Information:
Erwin
Hernández
Affiliation:
Departamento de Ingeniería Matemática, Universidad de Concepción, Casilla 160-C, Concepción, Chile
Email:
erwin@ing-mat.udec.cl
Rodolfo
Rodríguez
Affiliation:
Departamento de Ingeniería Matemática, Universidad de Concepción, Casilla 160-C, Concepción, Chile
Email:
rodolfo@ing-mat.udec.cl
DOI:
10.1090/S0025-5718-02-01467-9
PII:
S 0025-5718(02)01467-9
Keywords:
Finite element spectral approximation,
curved domains
Received by editor(s):
February 2, 2001
Received by editor(s) in revised form:
September 28, 2001
Posted:
December 3, 2002
Additional Notes:
The first author was supported by FONDECYT 2000114 (Chile). The second author was partially supported by FONDECYT 1990346 and FONDAP in Applied Mathematics (Chile).
Copyright of article:
Copyright
2002,
American Mathematical Society
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