An iteratively adaptive multiscale finite element method for elliptic interface problems
DOI10.1016/j.apnum.2018.01.009zbMath1382.65404OpenAlexW2789316889MaRDI QIDQ1696840
Feng-Nan Hwang, Chien-Chou Yao, Yi-Zhen Su
Publication date: 15 February 2018
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2018.01.009
numerical examplebubble functionsmultiscale problemelliptic interface problemadaptive multiscale finite element basis
Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Adaptive iterative multiscale finite volume method
- A Petrov Galerkin finite-element method for interface problems arising in sensitivity computa\-tions
- Accurate multiscale finite element methods for two-phase flow simulations
- Iterative multiscale finite-volume method
- Stabilized finite element methods. I.: Application to the advective- diffusive model
- The immersed interface method using a finite element formulation
- A multiscale finite element method for elliptic problems in composite materials and porous media
- New Cartesian grid methods for interface problems using the finite element formulation
- An iteratively adaptive multi-scale finite element method for elliptic PDEs with rough coefficients
- A discontinuity-capturing crosswind-dissipation for the finite element solution of the convection-diffusion equation
- A coupling interface method for elliptic interface problems
- Towards multiscale functions: enriching finite element spaces with local but not bubble-like functions
- A new multiscale finite element method for high-contrast elliptic interface problems
- Multiscale Finite Element Methods
- Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients
- A two-level finite element method and its application to the Helmholtz equation
- Residual-free bubbles for the Helmholtz equation
- Iterative methods for stabilized discrete convection-diffusion problems
- A Multigrid Tutorial, Second Edition
- Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
- Refining the submesh strategy in the two‐level finite element method: application to the advection–diffusion equation
- The Immersed Interface Method
This page was built for publication: An iteratively adaptive multiscale finite element method for elliptic interface problems