Finite element approximation of elliptic homogenization problems in nondivergence-form

Finite element approximation of elliptic homogenization problems in nondivergence-form

Show other versions (1)

We use uniform W2,p estimates to obtain corrector results for periodic homogenization problems of the form A(x/ε) : D2uε = f subject to a homogeneous Dirichlet boundary condition. We propose and rigorously analyze a numerical scheme based on finite element approximations for such nondivergence-form...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awduron:	Capdeboscq, Y, Sprekeler, T, Süli, E
Fformat:	Journal article
Iaith:	English
Cyhoeddwyd:	EDP Sciences 2020

Eitemau Tebyg

Finite element approximation of elliptic homogenization problems in nondivergence-form
gan: Sprekeler, T
Cyhoeddwyd: (2021)

Discontinuous Galerkin finite element approximation of nondivergence form elliptic equations with Cordès coefficients
gan: Smears, I, et al.
Cyhoeddwyd: (2013)

Quantitative Stochastic Homogenization of Elliptic Equations in Nondivergence Form
gan: Armstrong, Scott N., et al.
Cyhoeddwyd: (2016)

Mixed finite element approximation of periodic Hamilton--Jacobi--Bellman problems with application to numerical homogenization
gan: Gallistl, D, et al.
Cyhoeddwyd: (2021)

Estimates for the Multiplicative Square Function of Solutions to Nondivergence Elliptic Equations
gan: Jorge Rivera-Noriega
Cyhoeddwyd: (2007-01-01)

Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems I: the scalar case
gan: Houston, P, et al.
Cyhoeddwyd: (2005)

Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems I: The scalar case
gan: Houston, P, et al.
Cyhoeddwyd: (2004)

Variational approximation of flux in conforming finite element methods for elliptic partial differential equations: a model problem
gan: Brezzi, F, et al.
Cyhoeddwyd: (2001)

Discontinuous Galerkin Finite Element Approximation of Nonlinear Second-Order Elliptic and Hyperbolic Systems.
gan: Ortner, C, et al.
Cyhoeddwyd: (2007)

Discontinuous Galerkin Finite Element Approximation of Nonlinear Second-Order Elliptic and Hyperbolic Systems
gan: Ortner, C, et al.
Cyhoeddwyd: (2006)

Adaptive Finite Element Approximation of Hyperbolic Problems
gan: Suli, E, et al.
Cyhoeddwyd: (2002)

Uniform Hölder-norm bounds for finite element approximations of second-order elliptic equations
gan: Diening, L, et al.
Cyhoeddwyd: (2021)

Spatial Approximation of Nondivergent Type Parabolic PDEs with Unbounded Coefficients Related to Finance
gan: Fernando F. Gonçalves, et al.
Cyhoeddwyd: (2014-01-01)

Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems II: Strongly monotone quasi-Newtonian flows
gan: Congreve, S, et al.
Cyhoeddwyd: (2011)

Regularity in Orlicz spaces for nondivergence elliptic operators with potentials satisfying a reverse Hölder condition
gan: Kelei Zhang
Cyhoeddwyd: (2014-01-01)

Regularity in generalized Morrey spaces of solutions to higher order nondivergence elliptic equations with VMO coefficients
gan: Tahir Gadjiev, et al.
Cyhoeddwyd: (2019-08-01)

Analisi numerica. -Variational approximation afflux in conforming finite element methods for elliptic partial differential equations: A model problem
gan: Brezzi, F, et al.
Cyhoeddwyd: (2001)

Finite element approximation of high-dimensional transport-dominated diffusion problems
gan: Suli, E
Cyhoeddwyd: (2005)

A posteriori error analysis and adaptivity for finite element approximations of hyperbolic problems
gan: Suli, E
Cyhoeddwyd: (1999)

A posteriori error analysis and adaptivity for finite element approximations of hyperbolic problems
gan: Suli, E
Cyhoeddwyd: (1997)

Numerical approximation methods for elliptic boundary value problems : finite and boundary elements /
gan: 235765 Steinbach, Olaf
Cyhoeddwyd: (2008)

Homogenization of a one-dimensional spectral problem for a singularly perturbed elliptic operator with Neumann boundary conditions
gan: Allaire, G, et al.
Cyhoeddwyd: (2012)

Stabilized hp-Finite Element Approximation of Partial Differential Equations with Nonnegative Characteristic Form
gan: Houston, P, et al.
Cyhoeddwyd: (1999)

Stabilised hp-Finite Element Approximation of Partial Differential Equations with Nonnegative Characteristic Form.
gan: Houston, P, et al.
Cyhoeddwyd: (2001)

Null controllability for a coupled system of degenerate/singular parabolic equations in nondivergence form
gan: Jawad Salhi
Cyhoeddwyd: (2018-05-01)

A posteriori error analysis for stabilised finite element approximations of transport problems
gan: Houston, P, et al.
Cyhoeddwyd: (2000)

A posteriori error analysis for stabilised finite element approximations of transport problems
gan: Houston, P, et al.
Cyhoeddwyd: (1999)

Sparse finite element approximation of high-dimensional transport-dominated diffusion problems
gan: Schwab, C, et al.
Cyhoeddwyd: (2007)

Advective mixing in a nondivergent barotropic hurricane model
gan: B. Rutherford, et al.
Cyhoeddwyd: (2010-01-01)

Finite Volume Element Approximation for the Elliptic Equation with Distributed Control
gan: Quanxiang Wang, et al.
Cyhoeddwyd: (2018-01-01)

The finite element method for elliptic problems
gan: 445364 Ciarlet, Philippe G.

The finite element method for elliptic problems /
gan: 445364 Ciarlet, Philippe G.
Cyhoeddwyd: (2002)

Homogenization of a neutronic critical diffusion problem with drift
gan: Capdeboscq, Y
Cyhoeddwyd: (2002)

Lectures on elliptic methods for hybrid inverse problems
gan: Alberti, G, et al.
Cyhoeddwyd: (2018)

Finite element approximation of finitely extensible nonlinear elastic dumbbell models for dilute polymers
gan: Barrett, J, et al.
Cyhoeddwyd: (2012)

Finite element approximation of finitely extensible nonlinear elastic dumbbell models for dilute polymers
gan: Barrett, J, et al.
Cyhoeddwyd: (2011)

Finite Element Analysis of Cauchy-Born Approximations to Atomistic Models
gan: Makridakis, C, et al.
Cyhoeddwyd: (2013)

Finite element analysis of Cauchy-Born approximations to atomistic models
gan: Makridakis, C, et al.
Cyhoeddwyd: (2011)

Finite Element Analysis of Cauchy-Born Approximations to Atomistic Models
gan: Makridakis, C, et al.
Cyhoeddwyd: (2012)

On mixed finite element techniques for elliptic problems
gan: M. Aslam Noor
Cyhoeddwyd: (1983-01-01)