A posteriori error estimations of the Petrov-Galerkin methods for fractional Helmholtz equations
A posteriori error estimations of the Petrov-Galerkin methods for fractional Helmholtz equations
About this item
Full title
A posteriori error estimations of the Petrov-Galerkin methods for fractional Helmholtz equations
Author / Creator
Publisher
New York: Springer US
Journal title
Numerical algorithms, 2022-03, Vol.89 (3), p.1095-1127
Language
English
Formats
Publication information
Publisher
New York: Springer US
Subjects
More information
Scope and Contents
Contents
Here, we develop a Petrov-Galerkin spectral method for the fractional Helmholtz equations (FHEs) of even order
ν
=
s
+
k
,
s
∈ (
k
− 1,
k
) and
k
∈
ℕ
. We define trial and test functions by related generalized Jacobi functions (GJFs). Moreover, we efficiently establish the well-posedness of problem an...
Alternative Titles
Full title
A posteriori error estimations of the Petrov-Galerkin methods for fractional Helmholtz equations
Authors, Artists and Contributors
Author / Creator
Identifiers
Primary Identifiers
Record Identifier
TN_cdi_proquest_journals_2918610367
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2918610367
Other Identifiers
ISSN
1017-1398
E-ISSN
1572-9265
DOI
10.1007/s11075-021-01147-0
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