Publication: Stability and finite element error analysis for the Helmholtz equation with variable coefficients
Stability and finite element error analysis for the Helmholtz equation with variable coefficients
Date
Date
Date
Citations
Graham, I. G., & Sauter, S. A. (2020). Stability and finite element error analysis for the Helmholtz equation with variable coefficients. Mathematics of Computation, 89, 105–138. https://doi.org/10.1090/mcom/3457
Abstract
Abstract
Abstract
We discuss the stability theory and numerical analysis of the Helmholtz equation with variable and possibly nonsmooth or oscillatory coefficients. Using the unique continuation principle and the Fredholm alternative, we first give an existence-uniqueness result for this problem, which holds under rather general conditions on the coefficients and on the domain. Under additional assumptions, we derive estimates for the stability constant (i.e., the norm of the solution operator) in terms of the data (i.e., PDE coefficients and frequency
Metrics
Views
Additional indexing
Creators (Authors)
Volume
Volume
Volume
Number
Number
Number
Page range/Item number
Page range/Item number
Page range/Item number
Page end
Page end
Page end
Item Type
Item Type
Item Type
In collections
Dewey Decimal Classifikation
Dewey Decimal Classifikation
Dewey Decimal Classifikation
Keywords
Language
Language
Language
Publication date
Publication date
Publication date
Date available
Date available
Date available
ISSN or e-ISSN
ISSN or e-ISSN
ISSN or e-ISSN
OA Status
OA Status
OA Status
Free Access at
Free Access at
Free Access at
Publisher DOI
Metrics
Views
Citations
Graham, I. G., & Sauter, S. A. (2020). Stability and finite element error analysis for the Helmholtz equation with variable coefficients. Mathematics of Computation, 89, 105–138. https://doi.org/10.1090/mcom/3457
