Analysis of the SBP-SAT Stabilization for Finite Element Methods Part I: Linear Problems

In the hyperbolic community, discontinuous Galerkin (DG) approaches are mainly applied when finite element methods are considered. As the name suggested, the DG framework allows a discontinuity at the element interfaces, which seems for many researchers a favorable property in case of hyperbolic bal...

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Bibliographic Details
Published in:	Journal of scientific computing Vol. 85; no. 2; p. 43
Main Authors:	Abgrall, R., Nordström, J., Öffner, P., Tokareva, S.
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.11.2020 Springer Nature B.V Springer
Subjects:	Algorithms Approximation Boundary conditions Computational Mathematics and Numerical Analysis Continuous Galerkin Differential equations Discontinuity Finite element method Galerkin method Hyperbolic conservation laws Initial-boundary value problem Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics MATHEMATICS AND COMPUTING Mathematics and Statistics Methods Operators (mathematics) Perception Polynomials Quadratures Simultaneous approximation terms Stability Stabilization Theoretical Unstructured grids (mathematics) Hyperbolic conservation laws Continuous Galerkin Initial-boundary value problem Stability Simultaneous approximation terms
ISSN:	0885-7474, 1573-7691, 1573-7691
Online Access:	Get full text
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