Convex analysis and dual problems
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A posteriori error identities for nonlinear variational problems
Neittaanmäki, Pekka; Repin, Sergey (Academy of Romanian Scientists, 2015)A posteriori error estimation methods are usually developed in the context of upper and lower bounds of errors. In this paper, we are concerned with a posteriori analysis in terms of identities, i.e., we deduce error ... -
L2-variation of Lévy driven BSDEs with non-smooth terminal conditions
Geiss, Christel; Steinicke, Alexander (International Statistical Institute; Bernoulli Society for Mathematical Statistics and Probability, 2016)We consider the L2-regularity of solutions to backward stochastic differential equations (BSDEs) with Lipschitz generators driven by a Brownian motion and a Poisson random measure associated with a Lévy process (Xt)t∈[0,T]. ... -
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 ... -
Inf-sup conditions on convex cones and applications to limit load analysis
Haslinger, Jaroslav; Sysala, Stanislav; Repin, Sergey (Sage Publications Ltd., 2019)The paper is devoted to a family of specific inf–sup conditions generated by tensor-valued functions on convex cones. First, we discuss the validity of such conditions and estimate the value of the respective constant. ... -
Postural and Gestural Synchronization, Sequential Imitation, and Mirroring Predict Perceived Coupling of Dancing Dyads
Hartmann, Martin; Carlson, Emily; Mavrolampados, Anastasios; Burger, Birgitta; Toiviainen, Petri (Wiley-Blackwell, 2023)Body movement is a primary nonverbal communication channel in humans. Coordinated social behaviors, such as dancing together, encourage multifarious rhythmic and interpersonally coupled movements from which observers can ...
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