The discontinuous Petrov-Galerkin methodology for the mixed multiscale finite element method
type: Item
instance of: scholarly article
title: The discontinuous Petrov-Galerkin methodology for the mixed multiscale finite element method
publication date: 2021-06-23T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 7362353
zbMATH Keywords: MsFEM
zbMATH Keywords: DPG
zbMATH Keywords: upscaling
zbMATH Keywords: mixed approximation
zbMATH Keywords: composites
author: Witold Cecot
author: Marta Oleksy
MaRDI profile type: Publication
full work available at URL: j.camwa.2020.09.013
OpenAlex ID: W3090999534
cites work: Q4197852
cites work: The variational multiscale method -- a paradigm for computational mechanics
cites work: Multiscale enrichment based on partition of unity
cites work: The heterogeneous multiscale methods
cites work: Multi‐scale constitutive modelling of heterogeneous materials with a gradient‐enhanced computational homogenization scheme
cites work: A multilevel finite element method (FE\(^{2}\)) to describe the response of highly nonlinear structures using generalized continua.
cites work: An introduction to computational micromechanics.
cites work: A multiscale finite element method for elliptic problems in composite materials and porous media
cites work: Multiscale finite element methods for porous media flows and their applications
cites work: Extended multiscale finite element method for mechanical analysis of heterogeneous materials
cites work: A high-order multiscale finite-element method for time-domain acoustic-wave modeling
cites work: The Multi-Grid Method for the Diffusion Equation with Strongly Discontinuous Coefficients
cites work: Multigrid method for periodic heterogeneous media. II: Multiscale modeling and quality control in multidimensional case.
cites work: High order FEM for multigrid homogenization
cites work: Estimation of computational homogenization error by explicit residual method
cites work: Implementation of a locally conservative numerical subgrid upscaling scheme for two-phase Darcy flow
cites work: Mixed Multiscale Finite Element Methods Using Limited Global Information
cites work: Least-squares mixed generalized multiscale finite element method
cites work: The discontinuous Petrov-Galerkin method for elliptic problems
cites work: A Discontinuous Petrov--Galerkin Method with Lagrangian Multipliers for Second Order Elliptic Problems
cites work: Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
cites work: A class of discontinuous Petrov-Galerkin methods. I: The transport equation
cites work: A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions
cites work: The black box multigrid numerical homogenization algorithm
cites work: A Multiscale Mortar Mixed Space Based on Homogenization for Heterogeneous Elliptic Problems
cites work: First-Order System Least Squares for Second-Order Partial Differential Equations: Part I
cites work: Least-squares finite element methods
cites work: The DPG methodology applied to different variational formulations of linear elasticity
cites work: Breaking spaces and forms for the DPG method and applications including Maxwell equations
cites work: Superconvergence in a DPG method for an ultra-weak formulation
cites work: Two forms of Gradient Approximation for an Optimization Problem for the Heat Equation
cites work: An analysis of the practical DPG method
cites work: Matrix-dependent prolongations and restrictions in a blackbox multigrid solver
cites work: A new multiscale computational method for elasto-plastic analysis of heterogeneous materials
DOI: 10.1016/J.CAMWA.2020.09.013
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 7362353