Samankaltainen aineisto
Näytetään aineistoja, joilla on samankaltainen nimeke tai asiasanat.
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A fast Fourier transform based direct solver for the Helmholtz problem
Toivanen, Jari; Wolfmayr, Monika (John Wiley & Sons, 2020)This article is devoted to the efficient numerical solution of the Helmholtz equation in a two‐ or three‐dimensional (2D or 3D) rectangular domain with an absorbing boundary condition (ABC). The Helmholtz problem is ... -
Conductivity reconstruction from power density data in limited view
Jensen, Bjørn; Knudsen, Kim; Schlüter, Hjørdis (Royal Danish Library, 2023)In acousto-electric tomography, the objective is to extract information about the interior electrical conductivity in a physical body from knowledge of the interior power density data generated from prescribed boundary ... -
Optimal recovery of a radiating source with multiple frequencies along one line
Brander, Tommi; Ilmavirta, Joonas; Piiroinen, Petteri; Tyni, Teemu (American Institute of Mathematical Sciences (AIMS), 2020)We study an inverse problem where an unknown radiating source is observed with collimated detectors along a single line and the medium has a known attenuation. The research is motivated by applications in SPECT and beam ... -
Torus Computed Tomography
Ilmavirta, Joonas; Koskela, Olli; Railo, Jesse (Society for Industrial and Applied Mathematics, 2020)We present a new computed tomography (CT) method for inverting the Radon transform in 2 dimensions. The idea relies on the geometry of the flat torus; hence we call the new method Torus CT. We prove new inversion formulas ... -
Functional a posteriori error estimates for boundary element methods
Kurz, Stefan; Pauly, Dirk; Praetorius, Dirk; Repin, Sergey; Sebastian, Daniel (Springer, 2021)Functional error estimates are well-established tools for a posteriori error estimation and related adaptive mesh-refinement for the finite element method (FEM). The present work proposes a first functional error estimate ...
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