Nonconforming Galerkin methods for the Helmholtz equation

Douglas Jr., Jim et al · John Wiley & Sons Inc · 2001

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Author / responsible party

Douglas Jr., Jim et al

Publisher

John Wiley & Sons Inc

Year

2001

ISSN

0749-159X

ISSN

0749-159X

Language

English

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Nonconforming Galerkin methods for a Helmholtz-like problem arising in seismology are discussed both for standard simplicial linear elements and for several new rectangular elements related to bilinear or trilinear elements. Optimal order error estimates in a broken energy norm are derived for all elements and in L2 for some of the elements when proper quadrature rules are applied to the absorbing boundary condition. Domain decomposition iterative procedures are introduced for the nonconforming methods, and their convergence at a predictable rate is established. Fil: Douglas Jr., Jim. Purdue University; Estados Unidos Fil: Santos, Juan Enrique. Purdue University; Estados Unidos. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Observatorio Astronómico de La Plata - Sede Central; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina

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APA 7

Douglas Jr, J. E. A. (2001). Nonconforming Galerkin methods for the Helmholtz equation. http://hdl.handle.net/11336/71731

MLA

Douglas Jr, Jim et al. "Nonconforming Galerkin methods for the Helmholtz equation." 2001. http://hdl.handle.net/11336/71731.

Chicago

Douglas Jr, Jim et al. 2001. "Nonconforming Galerkin methods for the Helmholtz equation.". http://hdl.handle.net/11336/71731.

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Douglas Jr, J. E. A. 2001, Nonconforming Galerkin methods for the Helmholtz equation, John Wiley & Sons Inc, available at: http://hdl.handle.net/11336/71731 [Accessed 8 Aug. 2026].

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Title: Nonconforming Galerkin methods for the Helmholtz equation

Author / contributors: Douglas Jr., Jim et al

Publisher: John Wiley & Sons Inc

Publication year: 2001

ISSN: 0749-159X

ISSN: 0749-159X

Language: English

Subjects

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DOMAIN DECOMPOSITION METHOD; HELMHOLTZ; NONCONFORMING FINITE ELEMENT; https://purl.org/becyt/ford/1.5; https://purl.org/becyt/ford/1