The Newmark Method and a Space–Time FEM for the Second–Order Wave Equation

DOI10.1007/978-3-030-55874-1_122zbMath1475.65099OpenAlexW3158939260MaRDI QIDQ3379549

Marco Zank

Publication date: 27 September 2021

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-55874-1_122

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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A generalized inf-sup stable variational formulation for the wave equation, An ultraweak space-time variational formulation for the wave equation: Analysis and efficient numerical solution

Cites Work

• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• Coercive space-time finite element methods for initial boundary value problems
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