Discrete approximations to Dirichlet and Neumann Laplacians on a half-space and norm resolvent convergence
DOI10.4064/sm221103-16-3arXiv2211.01974WikidataQ122781680 ScholiaQ122781680MaRDI QIDQ6135686
Horia D. Cornean, Henrik Garde, Arne Jensen
Publication date: 25 August 2023
Published in: Studia Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.01974
latticeDirichlet Laplaciannorm resolvent convergencediscrete Neumann Laplaciandiscretisation operator
Spectrum, resolvent (47A10) General theory of partial differential operators (47F05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Linear operator approximation theory (47A58) Discrete version of topics in analysis (39A12) Linear difference operators (47B39)
Cites Work
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- Distributions and Operators
- Reflection principles for functions of Neumann and Dirichlet Laplacians on open reflection invariant subsets of $\mathbb R^{d}$
- Discrete approximations to Dirac operators and norm resolvent convergence
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