A combined finite element method for elliptic problems posted in domains with rough boundaries
DOI10.1016/j.cam.2017.12.049zbMath1383.65144OpenAlexW2783381699MaRDI QIDQ1696443
Weibing Deng, Shipeng Xu, Hai-jun Wu
Publication date: 14 February 2018
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2017.12.049
convergencenumerical resultserror estimateelliptic problemstransmission conditionsrough boundarycoarse meshpenalty techniquefine meshcombined finite element method
Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) 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)
Related Items (3)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Boundary homogenization in domains with randomly oscillating boundary
- Multiscale finite element methods for high-contrast problems using local spectral basis functions
- Finite element methods for the Stokes problem on complicated domains
- An adaptive GMsFEM for high-contrast flow problems
- Two-scale composite finite element method for Dirichlet problems on complicated domains
- The best Sobolev trace constant in a domain with oscillating boundary
- On multiscale methods in Petrov-Galerkin formulation
- Composite finite elements for the approximation of PDEs on domains with complicated micro-structures
- A multiscale finite element method for elliptic problems in composite materials and porous media
- Multiscale methods for problems with complex geometry
- Uniform resolvent convergence for strip with fast oscillating boundary
- Boundary value problem for an elliptic equation with rapidly oscillating coefficients in a rectangle
- CutFEM: Discretizing geometry and partial differential equations
- A multiscale finite element method for partial differential equations posed in domains with rough boundaries
- The extended/generalized finite element method: An overview of the method and its applications
- A new multiscale finite element method for high-contrast elliptic interface problems
- Localization of elliptic multiscale problems
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- Asymptotics of the Poisson Problem in Domains with Curved Rough Boundaries
- The Composite Mini Element—Coarse Mesh Computation of Stokes Flows on Complicated Domains
- An Interior Penalty Finite Element Method with Discontinuous Elements
- Finite Element Methods for Elliptic Equations Using Nonconforming Elements
- An Elliptic Collocation-Finite Element Method with Interior Penalties
- A multiscale finite-element method
- A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems
- Numerical Homogenization of Well Singularities in the Flow Transport through Heterogeneous Porous Media
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Homogenization of a monotone problem in a domain with oscillating boundary
- A Combined Finite Element and Multiscale Finite Element Method for the Multiscale Elliptic Problems
- A Multiscale Finite Element Method for Oscillating Neumann Problem on Rough Domain
- Convergence of a Discontinuous Galerkin Multiscale Method
- Oversampling for the Multiscale Finite Element Method
- The Mathematical Theory of Finite Element Methods
- Nonconforming Elements in the Finite Element Method with Penalty
- On the roughness-induced effective boundary conditions for an incompressible viscous flow
This page was built for publication: A combined finite element method for elliptic problems posted in domains with rough boundaries