Geodesic
Fast and accurate finite element approximation of wave maps into spheres
Bartels, Sören1
1 Abteilung für Angewandte Mathematik, Albert-Ludwigs-Universität Freiburg, Hermann-Herder Str. 10, 79104 Freiburg I.Br., Germany
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 49 (2015) no. 2, pp. 551-558

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A constraint preserving numerical method for the approximation of wave maps into spheres is presented. The scheme has a second order consistency property and is energy preserving and reversible. Its unconditional convergence to an exact solution is proved. A fixed point iteration allows for a solution of the nonlinear system of equations in each time step under a moderate step size restriction.

Reçu le :
DOI : 10.1051/m2an/2014044
Classification : 65N12, 58J45, 35L70, 35Q75
Keywords: Geometric evolution problem, wave maps, nonlinear partial differential equation, discretization

Bartels, Sören 1

1 Abteilung für Angewandte Mathematik, Albert-Ludwigs-Universität Freiburg, Hermann-Herder Str. 10, 79104 Freiburg I.Br., Germany 
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     title = {Fast and accurate finite element approximation of wave maps into spheres},
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Bartels, Sören. Fast and accurate finite element approximation of wave maps into spheres. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 49 (2015) no. 2, pp. 551-558. doi: 10.1051/m2an/2014044

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