The discontinuous Petrov-Galerkin methodology for the mixed multiscale finite element method
DOI10.1016/j.camwa.2020.09.013OpenAlexW3090999534MaRDI QIDQ2034886
Publication date: 23 June 2021
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2020.09.013
Boundary value problems for second-order elliptic equations (35J25) Finite element methods applied to problems in solid mechanics (74S05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items (2)
Cites Work
- Unnamed Item
- Extended multiscale finite element method for mechanical analysis of heterogeneous materials
- A new multiscale computational method for elasto-plastic analysis of heterogeneous materials
- Breaking spaces and forms for the DPG method and applications including Maxwell equations
- A class of discontinuous Petrov-Galerkin methods. I: The transport equation
- The heterogeneous multiscale methods
- Multiscale finite element methods for porous media flows and their applications
- Least-squares finite element methods
- An introduction to computational micromechanics.
- The black box multigrid numerical homogenization algorithm
- The variational multiscale method -- a paradigm for computational mechanics
- A multiscale finite element method for elliptic problems in composite materials and porous media
- A multilevel finite element method (FE\(^{2}\)) to describe the response of highly nonlinear structures using generalized continua.
- Multigrid method for periodic heterogeneous media. II: Multiscale modeling and quality control in multidimensional case.
- A high-order multiscale finite-element method for time-domain acoustic-wave modeling
- Superconvergence in a DPG method for an ultra-weak formulation
- The discontinuous Petrov-Galerkin method for elliptic problems
- Implementation of a locally conservative numerical subgrid upscaling scheme for two-phase Darcy flow
- High order FEM for multigrid homogenization
- Estimation of computational homogenization error by explicit residual method
- The DPG methodology applied to different variational formulations of linear elasticity
- Least-squares mixed generalized multiscale finite element method
- Matrix-dependent prolongations and restrictions in a blackbox multigrid solver
- An analysis of the practical DPG method
- A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions
- Mixed Multiscale Finite Element Methods Using Limited Global Information
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- The Multi-Grid Method for the Diffusion Equation with Strongly Discontinuous Coefficients
- First-Order System Least Squares for Second-Order Partial Differential Equations: Part I
- Two forms of Gradient Approximation for an Optimization Problem for the Heat Equation
- Multi‐scale constitutive modelling of heterogeneous materials with a gradient‐enhanced computational homogenization scheme
- A Multiscale Mortar Mixed Space Based on Homogenization for Heterogeneous Elliptic Problems
- A Discontinuous Petrov--Galerkin Method with Lagrangian Multipliers for Second Order Elliptic Problems
- Multiscale enrichment based on partition of unity
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