\(P _{1}\)-nonconforming quadrilateral finite volume methods for the semilinear elliptic equations
type: Item
instance of: scholarly article
title: \(P _{1}\)-nonconforming quadrilateral finite volume methods for the semilinear elliptic equations
zbMATH Open document ID: 1255.65194
author: Xinlong Feng
author: Rongfei Li
author: Demin Liu
author: Yinnian He
published in: Journal of Scientific Computing
publication date: 2013-01-11T00:00:00Z
Mathematics Subject Classification ID: 65N08
zbMATH DE Number: 6124526
zbMATH Keywords: semilinear elliptic equations
zbMATH Keywords: finite volume methods
zbMATH Keywords: \(P _{1}\)-nonconforming quadrilateral element
zbMATH Keywords: \(Q _{1}\)-conforming quadrilateral element
zbMATH Keywords: superconvergence
MaRDI profile type: Publication
full work available at URL: s10915-011-9557-4
OpenAlex ID: W2059376276
cites work: Error Estimates for $\Cq_1$ Isoparametric Elements Satisfying a Weak Angle Condition
cites work: Some Error Estimates for the Box Method
cites work: A second order finite difference analog of the first biharmonic boundary value problem
cites work: On the finite volume element method
cites work: Finite Volume Methods for Elliptic PDE's: A New Approach
cites work: A finite volume element method for a non‐linear elliptic problem
cites work: Error Estimates of Optimal Order for Finite Element Methods with Interpolated Coefficients for the Nonlinear Heat Equation
cites work: A New Class of High Order Finite Volume Methods for Second Order Elliptic Equations
cites work: Analysis and convergence of a covolume method for the generalized Stokes problem
cites work: On the regularity and uniformness conditions on quadrilateral grids
cites work: A General Framework for Constructing and Analyzing Mixed Finite Volume Methods on Quadrilateral Grids: The Overlapping Covolume Case
cites work: Error estimates on anisotropic ${\mathcal Q}_1$ elements for functions in weighted Sobolev spaces
cites work: An adaptive finite volume box scheme for solving a class of nonlinear parabolic equations
cites work: Finite volume methods
cites work: Locally stabilized \(P_{1}\)-nonconforming quadrilateral and hexahedral finite element methods for the Stokes equations
cites work: Asymptotic $L^\infty $-Error Estimates for Linear Finite Element Approximations of Quasilinear Boundary Value Problems
cites work: Numerical analysis for a new non-conforming linear finite element on quadrilaterals
cites work: H1-Stability and Convergence of the FE, FV and FD Methods for an Elliptic Equation
cites work: Q5716601
cites work: Inf-sup stable finite-element pairs based on dual meshes and bases for nearly incompressible elasticity
cites work: Interpolation of coefficients and transformation of the dependent variable in finite element methods for the non-linear heat equation
cites work: Q4936091
cites work: Q4946559
cites work: Superconvergence analysis of the nonconforming quadrilateral linear-constant scheme for Stokes equations
cites work: \(L^{2}\) error estimate of the finite volume element methods on quadrilateral meshes
cites work: Q5488727
cites work: A quadrilateral nonconforming finite element for linear elasticity problem
cites work: Convergence and superconvergence of a nonconforming finite element method for the Stokes problem
cites work: A quadrilateral, anisotropic, superconvergent, nonconforming double set parameter element
cites work: On the Interpolation Error Estimates for $Q_1$ Quadrilateral Finite Elements
cites work: P1-Nonconforming Quadrilateral Finite Element Methods for Second-Order Elliptic Problems
cites work: Box schemes on quadrilateral meshes
cites work: A mixed finite volume element method based on rectangular mesh for biharmonic equations
cites work: Q5481383
cites work: Superconvergence of rectangular finite element with interpolated coefficients for semilinear elliptic problem
cites work: Q3610083
cites work: A rectangular finite volume element method for a semilinear elliptic equation
cites work: Finite volume element method with interpolated coefficients for two-point boundary value problem of semilinear differential equations
cites work: Analysis of linear and quadratic simplicial finite volume methods for elliptic equations
cites work: A second-order finite volume element method on quadrilateral meshes for elliptic equations
cites work: Q3707298
cites work: Q3885130
DOI: 10.1007/S10915-011-9557-4
Recommended article: P1-Nonconforming Quadrilateral Finite Element Methods for Second-Order Elliptic Problems
Recommended article: Q5488727
Recommended article: Finite volume element method for nonlinear elliptic equations on quadrilateral meshes
Recommended article: P1$$ {P}_1 $$‐nonconforming quadrilateral finite element space with periodic boundary conditions: Part II. Application to the nonconforming heterogeneous multiscale method
Recommended article: A quadratic finite volume method for nonlinear elliptic problems
Recommended article: Q4655400
Recommended article: A piecewiseP2-nonconforming quadrilateral finite element
Recommended article: A Quadratic Triangular Finite Volume Element Method for a Semilinear Elliptic Equation
Recommended article: P1$$ {P}_1 $$–Nonconforming quadrilateral finite element space with periodic boundary conditions: Part I. Fundamental results on dimensions, bases, solvers, and error analysis
Recommended article: Quadratic Finite Volume Method for a Nonlinear Elliptic Problem
description: scientific article; zbMATH DE number 6124526