On the stability of the ale space-time discontinuous Galerkin method for nonlinear convection-diffusion problems in time-dependent domains

The paper is concerned with the analysis of the space-time discontinuous Galerkin method (STDGM) applied to the numerical solution of the nonstationary nonlinear convection-diffusion initial-boundary value problem in a time-dependent domain formulated with the aid of the arbitrary Lagrangian-Euleria...

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Veröffentlicht in:	Applications of mathematics (Prague) 2015-10, Vol.60 (5), p.501-526
Hauptverfasser:	Balázsová, Monika, Feistauer, Miloslav
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Applications of Mathematics Applied mathematics Boundaries Boundary value problems Classical and Continuum Physics Discretization Galerkin methods Initial value problems Mathematical and Computational Engineering Mathematical and Computational Physics Mathematical models Mathematics Mathematics and Statistics Nonlinearity Optimization Partial differential equations Polynomials Spacetime Stability Studies Theoretical
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