Publication: General DG-methods for highly indefinite Helmholtz problems
General DG-methods for highly indefinite Helmholtz problems
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Melenk, J. M., Parsania, A., & Sauter, S. (2013). General DG-methods for highly indefinite Helmholtz problems. Journal of Scientific Computing, 57(3), 536–581. https://doi.org/10.1007/s10915-013-9726-8
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We develop a stability and convergence theory for a Discontinuous Galerkin formulation (DG) of a highly indefinite Helmholtz problem in Rd, d ∈ {1,2,3}. The theory covers conforming as well as non-conforming generalized finite element methods. In contrast to conventional Galerkin methods where a minimal resolution condition is necessary to guarantee the unique solvability, it is proved that the DG-method admits a unique solution under much weaker conditions. As an application we present the error analysis for the hp -version of the fi
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- Melenk, Jens Markus
- Parsania, Asieh
- Sauter, Stefan
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Melenk, J. M., Parsania, A., & Sauter, S. (2013). General DG-methods for highly indefinite Helmholtz problems. Journal of Scientific Computing, 57(3), 536–581. https://doi.org/10.1007/s10915-013-9726-8
