Spatio-stochastic adaptive discontinuous Galerkin methods

We introduce a goal-oriented, adaptive framework for the uncertainty quantification of systems modeled by stochastically parametrized nonlinear hyperbolic and convection-dominated partial differential equations. Of particular interest are conservation laws in aerodynamics that may have a small numbe...

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Veröffentlicht in:	Computer methods in applied mechanics and engineering 2021-02, Vol.374, p.113570, Article 113570
Hauptverfasser:	Donoghue, Geoff, Yano, Masayuki
Format:	Artikel
Sprache:	eng
Schlagworte:	Adaptation Adaptive systems Aerodynamics Anisotropic adaptivity Computational fluid dynamics Conservation laws Convection Discontinuous Galerkin methods Error analysis Error estimation Finite element method Galerkin method Nonlinearity Parameter uncertainty Partial differential equations Polynomials Sparse polynomial chaos Stability analysis Turbulence Turbulent flow Uncertainty quantification
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