A continuous Galerkin method for pseudo-hyperbolic equations with variable coefficients

DOI10.1016/j.jmaa.2019.01.008zbMath1416.65369OpenAlexW2909878532WikidataQ128632455 ScholiaQ128632455MaRDI QIDQ2633342

Zhihui Zhao, Hong Li

Publication date: 8 May 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.01.008

zbMATH Keywords

numerical examplecontinuous Galerkin methodprior error estimatepseudo-hyperbolic equations with variable coefficients

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical quadrature and cubature formulas (65D32) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Pseudohyperbolic equations (35L82)

Related Items (3)

Boundary value problems for third-order pseudoelliptic equations with degeneration ⋮ The study of a continuous Galerkin method for Sobolev equation with space-time variable coefficients ⋮ Boundary value problem for system of pseudo-hyperbolic equations of the fourth order with nonlocal condition

Cites Work

• A space-time continuous finite element method for 2D viscoelastic wave equation
• \(H^1\)-Galerkin mixed finite element methods for pseudo-hyperbolic equations
• Continuous finite elements in space and time for the nonhomogeneous wave equation
• Least-squares Galerkin procedures for pseudohyperbolic equations
• Continuous Finite Elements in Space and Time for the Heat Equation
• A Space-Time Finite Element Method for the Nonlinear Schrödinger Equation: The Continuous Galerkin Method
• Convergence of a continuous Galerkin method with mesh modification for nonlinear wave equations
• A continuous space-time finite element method for the wave equation
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