Stability analysis of high order methods for the wave equation

DOI10.1016/j.cam.2021.113900OpenAlexW3208710262MaRDI QIDQ2059660

Gunilla Kreiss, Murtazo Nazarov, Ivy Weber

Publication date: 14 December 2021

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2021.113900

zbMATH Keywords

wave equationfinite elementsdiscontinuous Galerkintime-step stability

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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)

Cites Work

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• The Bernstein polynomial basis: a centennial retrospective
• Mathematical aspects of discontinuous Galerkin methods.
• On the constants in \(hp\)-finite element trace inverse inequalities.
• Exact formulae and matrix-less eigensolvers for block banded symmetric Toeplitz matrices
• Higher order cut finite elements for the wave equation
• General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods
• The Finite Element Method: Theory, Implementation, and Applications
• Theory and Applications of Gaussian Quadrature Methods
• Difference Approximations for the Second Order Wave Equation
• High Order Difference Methods for Time Dependent PDE
• Discontinuous Galerkin Finite Element Method for the Wave Equation

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