A simple finite element method for linear hyperbolic problems

DOI10.1016/j.cam.2017.08.025zbMath1376.65129OpenAlexW2754147693WikidataQ62727713 ScholiaQ62727713MaRDI QIDQ1675964

Lin Mu, Xiu Ye

Publication date: 3 November 2017

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

Full work available at URL: https://www.osti.gov/biblio/1407723

zbMATH Keywords

numerical exampleerror estimatesfinite element methodshyperbolic equations

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) Initial-boundary value problems for first-order hyperbolic equations (35L04)

Related Items (7)

Least-squares ReLU neural network (LSNN) method for linear advection-reaction equation ⋮ Exponential Jacobi spectral method for hyperbolic partial differential equations ⋮ Adaptive least-squares finite element methods for linear transport equations based on an H(div) flux reformulation ⋮ An \(L^p\)-primal-dual finite element method for first-order transport problems ⋮ Existence and Uniqueness of Solution for Semi-linear Conservation Laws with Velocity Field in L∞ ⋮ A new upwind weak Galerkin finite element method for linear hyperbolic equations ⋮ Adaptive flux-only least-squares finite element methods for linear transport equations

Cites Work

• Finite element methods for linear hyperbolic problems
• Interior penalty continuous and discontinuous finite element approximations of hyperbolic equations
• \(hp\)-discontinuous Galerkin finite element methods with least-squares stabilization
• Minimal stabilization for discontinuous Galerkin finite element methods for hyperbolic problems
• Improved Least-squares Error Estimates for Scalar Hyperbolic Problems
• A weak Galerkin mixed finite element method for second order elliptic problems
• Stabilizedhp-Finite Element Methods for First-Order Hyperbolic Problems
• Least-Squares Finite Element Methods and Algebraic Multigrid Solvers for Linear Hyperbolic PDEs
• DISCONTINUOUS GALERKIN METHODS FOR FIRST-ORDER HYPERBOLIC PROBLEMS
• An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation

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