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Main Title: Regularization of Constrained PDEs of Semi-Explicit Structure
Author(s): Altmann, Robert
Heiland, Jan
Type: Research Paper
Abstract: A general framework for the regularization of constrained PDEs, also called operator DAEs, is presented. The given procedure works for semi-explicit operator DAEs of first order which includes the Navier-Stokes and other flow equations. This reformulation is a regularization in the sense that a semi-discretization in space leads to a DAE of lower index, i.e., of differentiation index 1 instead of 2. The regularized operator DAE may help to construct numerically stable discretization schemes and thus, lead to a more efficient simulation.
Subject(s): PDAE
operator DAE
index reduction
evolution equations
method of lines
mixed finite elements
Issue Date: 20-May-2014
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 65J08 Abstract evolution equations
65J15 Equations with nonlinear operators
65M20 Method of lines
65L80 Methods for differential-algebraic equations
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2014, 05
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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