Expanded mixed finite element method for second order hyperbolic equations

DOI10.1016/j.camwa.2019.03.061zbMath1443.65226OpenAlexW2940412000WikidataQ128030699 ScholiaQ128030699MaRDI QIDQ2203507

Keyan Wang, Qisheng Wang

Publication date: 7 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2019.03.061

zbMATH Keywords

error estimateshyperbolic equationsexpanded mixed finite element method

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items

Domain decomposition and expanded mixed method for parabolic partial differential equations, A New Finite Element Space for Expanded Mixed Finite Element Method, A new expanded mixed finite element method for Kirchhoff type parabolic equation, A new family of expanded mixed finite element methods for reaction-diffusion equations

Cites Work

• Unnamed Item
• An expanded mixed finite element method for generalized Forchheimer flows in porous media
• A two-grid algorithm based on expanded mixed element discretizations for strongly nonlinear elliptic equations
• \(H^1\)-Galerkin mixed finite element methods for pseudo-hyperbolic equations
• Two families of mixed finite elements for second order elliptic problems
• Expanded mixed FEM with lowest order RT elements for nonlinear and nonlocal parabolic problems
• A new expanded mixed method for parabolic integro-differential equations
• Convergence analysis of hybrid expanded mixed finite element method for elliptic equations
• Two-Grid method for nonlinear parabolic equations by expanded mixed finite element methods
• Splitting positive definite mixed element methods for pseudo-hyperbolic equations
• A two-grid expanded mixed element method for nonlinear non-Fickian flow model in porous media
• Efficient rectangular mixed finite elements in two and three space variables
• Analysis of two-grid methods for reaction-diffusion equations by expanded mixed finite element methods
• On the application of mixed finite element methods to the wave equations
• Error Estimates for Finite Element Methods for Second Order Hyperbolic Equations
• Expanded mixed finite element methods for linear second-order elliptic problems, I
• Expanded mixed finite element methods for quasilinear second order elliptic problems, II
• Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences
• A two-grid method for expanded mixed finite-element solution of semilinear reaction-diffusion equations
• Analysis of Expanded Mixed Finite Element Methods for a Nonlinear Parabolic Equation Modeling Flow into Variably Saturated Porous Media
• OPTIMAL L²-ERROR ESTIMATES FOR EXPANDED MIXED FINITE ELEMENT METHODS OF SEMILINEAR SOBOLEV EQUATIONS
• $L^2 $-Estimates for Galerkin Methods for Second Order Hyperbolic Equations
• An expanded mixed finite element approach via a dual-dual formulation and the minimum residual method