5 results match your criteria Applicable Analysis[Journal]

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Space-time finite element methods stabilized using bubble function spaces.

Appl Anal 2020 24;99(7):1153-1170. Epub 2018 Sep 24.

Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Linz, Austria.

In this paper, a stabilized space-time finite element method for solving linear parabolic evolution problems is analyzed. The proposed method is developed on a base of a space-time variational setting, that helps on the simultaneous and unified discretization in space and in time by finite element techniques. Stabilization terms are constructed by means of classical bubble spaces. Read More

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http://dx.doi.org/10.1080/00036811.2018.1522630DOI Listing
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC7254518PMC
September 2018

Erratum.

Authors:

Appl Anal 2020 1;99(3):548. Epub 2018 Aug 1.

[This corrects the article DOI: 10.1080/00036811.2018. Read More

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http://dx.doi.org/10.1080/00036811.2018.1505361DOI Listing
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC7155836PMC

A second-order dynamical approach with variable damping to nonconvex smooth minimization.

Appl Anal 2020 9;99(3):361-378. Epub 2018 Jul 9.

Department of Mathematics, Technical University of Cluj-Napoca, Cluj-Napoca, Romania.

We investigate a second-order dynamical system with variable damping in connection with the minimization of a nonconvex differentiable function. The dynamical system is formulated in the spirit of the differential equation which models Nesterov's accelerated convex gradient method. We show that the generated trajectory converges to a critical point, if a regularization of the objective function satisfies the Kurdyka- Lojasiewicz property. Read More

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http://dx.doi.org/10.1080/00036811.2018.1495330DOI Listing
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC7077366PMC

A discontinuous Poisson-Boltzmann equation with interfacial jump: homogenisation and residual error estimate.

Appl Anal 2016 4;95(12):2661-2682. Epub 2015 Nov 4.

Institute of Mathematics and Scientific Computing, University of Graz, NAWI Graz, 8010Graz, Austria.

A nonlinear Poisson-Boltzmann equation with inhomogeneous Robin type boundary conditions at the interface between two materials is investigated. The model describes the electrostatic potential generated by a vector of ion concentrations in a periodic multiphase medium with dilute solid particles. The key issue stems from interfacial jumps, which necessitate discontinuous solutions to the problem. Read More

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http://dx.doi.org/10.1080/00036811.2015.1105962DOI Listing
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC5894435PMC
November 2015
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Dynamics of populations with age-difference and diffusion: localization.

Authors:
G E Hernandez

Appl Anal 1988 ;29:143-63

"In this paper we study the behavior of the solutions of the Gurtin-MacCamy model for the dynamics of populations with [spatial] diffusion and age-dependence. We give sufficient conditions on the birth and death modules for the population to remain localized in a fixed interval or to ultimately cover all the domain." Read More

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http://dx.doi.org/10.1080/00036818808839777DOI Listing
February 1990
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