Optimal convergence analysis of the virtual element methods for second-order Sobolev equations with variable coefficients on polygonal meshes
DOI10.1007/S12190-024-02045-ZzbMATH Open1542.65163MaRDI QIDQ6584777
Publication date: 8 August 2024
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Cites Work
- Equivalent projectors for virtual element methods
- High accuracy analysis of a new nonconforming mixed finite element scheme for Sobolev equations
- Local discontinuous Galerkin finite element method and error estimates for one class of Sobolev equation
- The convergence of fully discrete Galerkin approximations for the Benjamin--Bona--Mahony (BBM) equation
- Virtual element methods for hyperbolic problems on polygonal meshes
- Some error analysis on virtual element methods
- Interior penalty discontinuous Galerkin technique for solving generalized Sobolev equation
- A cooling process according to two-temperature theory of heat conduction
- Some estimates for virtual element methods
- Conforming virtual element methods for Sobolev equations
- Infinite-dimensional dynamical systems. An introduction to dissipative parabolic PDEs and the theory of global attractors
- Well-posedness of an electric interface model and its finite element approximation
- Virtual element method for general second-order elliptic problems on polygonal meshes
- Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
- Virtual element methods for parabolic problems on polygonal meshes
- Time-Stepping Galerkin Methods for Nonlinear Sobolev Partial Differential Equations
- H1-Galerkin mixed finite element methods for parabolic partial integro-differential equations
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- The Hitchhiker's Guide to the Virtual Element Method
- Time and space adaptivity of the wave equation discretized in time by a second-order scheme
- Virtual element method for the Sobolev equations
Related Items (1)
This page was built for publication: Optimal convergence analysis of the virtual element methods for second-order Sobolev equations with variable coefficients on polygonal meshes
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6584777)
