Some Estimates for Virtual Element Methods
Abstract: We present novel techniques for obtaining the basic estimates of virtual element methods in terms of the shape regularity of polygonal/polyhedral meshes. We also derive new error estimates for the Poisson problem in two and three dimensions.
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- Extent
-
Online-Ressource
- Language
-
Englisch
- Bibliographic citation
-
Some Estimates for Virtual Element Methods ; volume:17 ; number:4 ; year:2017 ; pages:553-574 ; extent:22
Computational methods in applied mathematics ; 17, Heft 4 (2017), 553-574 (gesamt 22)
- Creator
-
Brenner, Susanne C.
Guan, Qingguang
Sung, Li-Yeng
- DOI
-
10.1515/cmam-2017-0008
- URN
-
urn:nbn:de:101:1-2410251715515.289703057099
- Rights
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
- 15.08.2025, 7:36 AM CEST
Data provider
This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Brenner, Susanne C.
- Guan, Qingguang
- Sung, Li-Yeng
Other Objects (12)
Some Estimates for Virtual Element Methods in Three Dimensions
Interior estimates for the virtual element method
A posteriori error estimates for the virtual element method
Error estimates for finite element methods in shape optimization
Functional a posteriori error estimates for boundary element methods
Error estimates for a mixed finite element discretization of some degenerate parabolic equations
Error estimates of finite element methods for fractional stochastic Navier–Stokes equations
Error estimates of finite element methods for nonlinear fractional stochastic differential equations
Stochastic virtual element methods for uncertainty propagation of stochastic linear elasticity
Stochastic virtual element methods for uncertainty propagation of stochastic linear elasticity
When rational functions meet virtual elements: the lightning virtual element method
Volume estimates for some random convex sets
Some Estimates for Virtual Element Methods in Three Dimensions
Interior estimates for the virtual element method
A posteriori error estimates for the virtual element method
Error estimates for finite element methods in shape optimization
Functional a posteriori error estimates for boundary element methods
Error estimates for a mixed finite element discretization of some degenerate parabolic equations
Error estimates of finite element methods for fractional stochastic Navier–Stokes equations
Error estimates of finite element methods for nonlinear fractional stochastic differential equations
Stochastic virtual element methods for uncertainty propagation of stochastic linear elasticity
Stochastic virtual element methods for uncertainty propagation of stochastic linear elasticity
When rational functions meet virtual elements: the lightning virtual element method
Volume estimates for some random convex sets
Some Estimates for Virtual Element Methods in Three Dimensions
Interior estimates for the virtual element method
A posteriori error estimates for the virtual element method
Error estimates for finite element methods in shape optimization
Functional a posteriori error estimates for boundary element methods
Error estimates for a mixed finite element discretization of some degenerate parabolic equations
Error estimates of finite element methods for fractional stochastic Navier–Stokes equations
Error estimates of finite element methods for nonlinear fractional stochastic differential equations
Stochastic virtual element methods for uncertainty propagation of stochastic linear elasticity
Stochastic virtual element methods for uncertainty propagation of stochastic linear elasticity
When rational functions meet virtual elements: the lightning virtual element method