Computation of generalized time-periodic waves using differential forms, exact controllability, least-squares formulation, conjugate gradient method and discrete exterior calculus Part 1, Theoretical considerations
Julkaistu sarjassa
Reports of the Department of Mathematical Information Technology / University of Jyväskylä. Series B, Scientific computingPäivämäärä
2008Julkaisija
University of JyväskyläISBN
978-951-39-3343-2ISSN Hae Julkaisufoorumista
1456-436XMetadata
Näytä kaikki kuvailutiedotSamankaltainen aineisto
Näytetään aineistoja, joilla on samankaltainen nimeke tai asiasanat.
-
Comparison of finite element and discrete exterior calculus in computation of time-harmonic wave propagation with controllability
Saksa, Tytti (Elsevier, 2025)This paper discusses computation of time-harmonic wave problems using a mixed formulation and the controllability method introduced by Roland Glowinski. As an example, a scattering problem (in an exterior domain) is ... -
Generalized wave propagation problems and discrete exterior calculus
Räbinä, Jukka; Kettunen, Lauri; Mönkölä, Sanna; Rossi, Tuomo (EDP Sciences, 2018)We introduce a general class of second-order boundary value problems unifying application areas such as acoustics, electromagnetism, elastodynamics, quantum mechanics, and so on, into a single framework. This also enables ... -
Time-harmonic electromagnetics with exact controllability and discrete exterior calculus
Mönkölä, Sanna; Räbinä, Jukka; Rossi, Tuomo (Academie des Sciences, 2023)In this paper, we apply the exact controllability concept for time-harmonic electromagnetic scattering. The problem is presented in terms of the differential forms, and the discrete exterior calculus is utilized for spatial ... -
Discrete exterior calculus and exact controllability for time-harmonic acoustic wave simulation
Myyrä, Mikael (2023)Diskreetti ulkoinen laskenta (engl, discrete exterior calculus, DEC) on differentiaaliyhtälöiden ratkaisemiseen soveltuva diskretointimenetelmä, joka säilyttää tiettyjä fysikaalisten mallien geometrisia ominaisuuksia ja ... -
Systematic implementation of higher order Whitney forms in methods based on discrete exterior calculus
Lohi, Jonni (Springer, 2022)We present a systematic way to implement higher order Whitney forms in numerical methods based on discrete exterior calculus. Given a simplicial mesh, we first refine the mesh into smaller simplices which can be used to ...
Ellei toisin mainittu, julkisesti saatavilla olevia JYX-metatietoja (poislukien tiivistelmät) saa vapaasti uudelleenkäyttää CC0-lisenssillä.