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Error estimates for finite element approximations of nonlinear monotone elliptic problems with application to numerical homogenization

https://doi.org/10.1002/num.22037
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-0-387-75934-0openalex-snapshot
The Mathematical Theory of Finite Element Methods
inferredcites →https://doi.org/10.1007/978-1-4612-0981-2openalex-snapshot
Nonlinear Functional Analysis and its Applications
inferredcites →https://doi.org/10.1007/bf01396664openalex-snapshot
Finite element solution of nonlinear elliptic problems
inferredcites →https://doi.org/10.1007/s00211-011-0438-4openalex-snapshot
A priori error estimates for finite element methods with numerical quadrature for nonmonotone nonlinear elliptic problems
inferredcites →https://doi.org/10.1016/b978-0-12-068650-6.50020-4openalex-snapshot
THE COMBINED EFFECT OF CURVED BOUNDARIES AND NUMERICAL INTEGRATION IN ISOPARAMETRIC FINITE ELEMENT METHODS
inferredcites →https://doi.org/10.1016/s0168-2024(08)x7014-6openalex-snapshot
The Finite Element Method for Elliptic Problems
inferredcites →https://doi.org/10.1051/m2an/2016003openalex-snapshot
Finite element heterogeneous multiscale method for nonlinear monotone parabolic homogenization problems
inferredcites →https://doi.org/10.1051/proc/201550001openalex-snapshot
The role of numerical integration in numerical homogenization
inferredcites →https://doi.org/10.1137/060649112openalex-snapshot
An Analytical Framework for the Numerical Homogenization of Monotone Elliptic Operators and Quasiconvex Energies
inferredcites →https://doi.org/10.1137/0714021openalex-snapshot
Galerkin’s Method for Some Highly Nonlinear Problems
inferredcites →https://doi.org/10.1137/0715026openalex-snapshot
Asymptotic $L^\infty $-Error Estimates for Linear Finite Element Approximations of Quasilinear Boundary Value Problems
inferredcites →https://doi.org/10.1137/140975504openalex-snapshot
Linearized Numerical Homogenization Method for Nonlinear Monotone Parabolic Multiscale Problems
inferredcites →https://doi.org/10.1137/s0036142992232949openalex-snapshot
Two-Grid Discretization Techniques for Linear and Nonlinear PDE s
inferredcites →https://doi.org/10.1142/9789814366892_0009openalex-snapshot
A Priori and a Posteriori Error Analysis for Numerical Homogenization: A Unified Framework
inferredcites →https://doi.org/10.3934/dcdss.2015.8.119openalex-snapshot
Error control and adaptivity for heterogeneous multiscale approximations of nonlinear monotone problems
inferredcites →https://doi.org/10.5075/epfl-thesis-6769openalex-snapshot
Numerical homogenization methods for advection-diffusion and nonlinear monotone problems with multiple scales

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-3-319-41640-3_1openalex-snapshot
Numerical Homogenization Methods for Parabolic Monotone Problems
inferred← citeshttps://doi.org/10.1007/s10440-026-00785-7openalex-snapshot
On the Existence and Uniqueness of Numerical Solutions for Heterogeneous Duhem Operators
inferred← citeshttps://doi.org/10.1016/j.cam.2018.04.002openalex-snapshot
High dimensional finite element method for multiscale nonlinear monotone parabolic equations
inferred← citeshttps://doi.org/10.1016/j.camwa.2018.08.054openalex-snapshot
Mathematical and numerical analysis of a transient magnetic model with voltage drop excitations
inferred← citeshttps://doi.org/10.1016/j.camwa.2020.01.021openalex-snapshot
A matrix-free Chimera approach based on Dirichlet–Dirichlet coupling for domain composition purposes
inferred← citeshttps://doi.org/10.1016/j.cpc.2023.108804openalex-snapshot
Solution of Grad-Shafranov equation with linear triangular finite elements providing magnetic field continuity with a second order accuracy
inferred← citeshttps://doi.org/10.1016/j.jcp.2015.04.016openalex-snapshot
A reduced basis localized orthogonal decomposition
inferred← citeshttps://doi.org/10.1051/proc/201550001openalex-snapshot
The role of numerical integration in numerical homogenization
inferred← citeshttps://doi.org/10.1093/imanum/drab004openalex-snapshot
Numerical homogenization for nonlinear strongly monotone problems
inferred← citeshttps://doi.org/10.32657/10356/73206openalex-snapshot
Sparse tensor product finite element method for some linear and nonlinear multiscale problems
inferred← citeshttps://doi.org/10.48550/arxiv.1908.08292openalex-snapshot
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm
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