Time-discrete higher order ALE formulations: a priori error analysis

DOI10.1007/s00211-013-0539-3zbMath1278.65137OpenAlexW2027465681MaRDI QIDQ373222

Andrea Bonito, Irene Kyza, Ricardo H. Nochetto

Publication date: 22 October 2013

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-013-0539-3

zbMATH Keywords

stabilitynumerical experimentsdiscontinuous Galerkin methoda priori error analysisarbitrary Lagrangian Eulerian frameworkmoving domainsRunge-Kutta-Radau methodstime-dependent diffusion-advection equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items

Unified Analysis of Finite Element Methods for Problems with Moving Boundaries, High-order finite element methods for moving boundary problems with prescribed boundary evolution, Local projection stabilization with discontinuous Galerkin method in time applied to convection dominated problems in time-dependent domains, A Method-of-Lines Framework for Energy Stable Arbitrary Lagrangian–Eulerian Methods, High‐order methods for low Reynolds number flows around moving obstacles based on universal meshes, A velocity-based moving mesh virtual element method, A geometrically-conservative, synchronized, flux-corrected remap for arbitrary Lagrangian-Eulerian computations with nodal finite elements, ALE-SUPG finite element method for convection-diffusion problems in time-dependent domains: conservative form, New finite volume element methods in the ALE framework for time-dependent convection-diffusion problems in moving domains

Uses Software

• deal.ii

Cites Work

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