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
Published inReports of the Department of Mathematical Information Technology / University of Jyväskylä. Series B, Scientific computing
PublisherUniversity of Jyväskylä
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Showing items with similar title or keywords.
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 ...
Lohi, Jonni (2019)Partial differential equations describing various phenomena have a natural expression in terms of differential forms. This thesis discusses higher order Whitney forms as approximations for differential forms. We present ...
Räbinä, Jukka (University of Jyväskylä, 2014)
Heikkola, Erkki; Mönkölä, Sanna; Pennanen, Anssi; Rossi, Tuomo (Elsevier, 2007)We consider a controllability technique for the numerical solution of the Helmholtz equation. The original time-harmonic equation is represented as an exact controllability problem for the time-dependent wave equation. ...
Mönkölä, Sanna; Heikkola, Erkki; Pennanen, Anssi; Rossi, Tuomo (Elsevier, 2008)The time-harmonic solution of the linear elastic wave equation is needed for a variety of applications. The typical procedure for solving the time-harmonic elastic wave equation leads to difficulties solving large-scale ...