Analysis of multiscale mortar mixed approximation of nonlinear elliptic equations
From MaRDI portal
Publication:1732319
DOI10.1016/j.camwa.2017.09.031zbMath1409.65106OpenAlexW2766346752MaRDI QIDQ1732319
Dong-wook Shin, Eun-Jae Park, Muhammad Arshad
Publication date: 25 March 2019
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2017.09.031
error estimatesNewton's methoddomain decompositionnonlinear elliptic problemmortar interfacemultiscale mixed finite element
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) PDEs in connection with fluid mechanics (35Q35) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Boundary value problems for second-order elliptic systems (35J57)
Related Items
A multiscale domain decomposition approach for parabolic equations using expanded mixed method, A priori error estimates of multiblock mortar expanded mixed method for elliptic problems, Flux-mortar mixed finite element methods with multipoint flux approximation, Unnamed Item, Multiscale mortar expanded mixed discretization of nonlinear elliptic problems, Multiscale mortar mixed domain decomposition approximations of nonlinear parabolic equations, A LOCAL CONSERVATIVE MULTISCALE METHOD FOR ELLIPTIC PROBLEMS WITH OSCILLATING COEFFICIENTS, Robust Linear Domain Decomposition Schemes for Reduced Nonlinear Fracture Flow Models, Flux-Mortar Mixed Finite Element Methods on NonMatching Grids
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Coupling discontinuous Galerkin discretizations using mortar finite elements for advection-diffusion-reaction problems
- Superconvergence for rectangular mixed finite elements
- Implementation of a mortar mixed finite element method using a multiscale flux basis
- Two families of mixed finite elements for second order elliptic problems
- Mixed finite elements in \(\mathbb{R}^3\)
- The variational multiscale method -- a paradigm for computational mechanics
- A multiscale finite element method for elliptic problems in composite materials and porous media
- Two-level mortar domain decomposition preconditioners for heterogeneous elliptic problems
- A multiscale discontinuous Galerkin method for convection-diffusion-reaction problems
- Mortar multiscale finite element methods for Stokes-Darcy flows
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- Superconvergent discontinuous Galerkin methods for nonlinear elliptic equations
- Multiscale mortar mixed methods for heterogeneous elliptic problems
- A Global Jacobian Method for Mortar Discretizations of Nonlinear Porous Media Flows
- Global Estimates for Mixed Methods for Second Order Elliptic Equations
- Efficient rectangular mixed finite elements in two and three space variables
- A Priori and A Posteriori Pseudostress-velocity Mixed Finite Element Error Analysis for the Stokes Problem
- A Hierarchical Multiscale Method for Two-Phase Flow Based upon Mixed Finite Elements and Nonuniform Coarse Grids
- Subgrid Upscaling and Mixed Multiscale Finite Elements
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- Mixed Finite Element Methods for Quasilinear Second-Order Elliptic Problems
- Mixed and Hybrid Finite Element Methods
- Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients
- Mixed Finite Element Methods on Nonmatching Multiblock Grids
- On the Use of a Mixed Multiscale Finite Element Method for GreaterFlexibility and Increased Speed or Improved Accuracy in Reservoir Simulation
- A mixed multiscale finite element method for elliptic problems with oscillating coefficients
- A Mixed Finite Element Method for a Strongly Nonlinear Second-Order Elliptic Problem
- Mixed Finite Element Methods for Nonlinear Second-Order Elliptic Problems
- Balancing domain decomposition for mortar mixed finite element methods
- A Priori and A Posteriori Analysis of Mixed Finite Element Methods for Nonlinear Elliptic Equations
- A MULTISCALE MORTAR MIXED FINITE ELEMENT METHOD FOR SLIGHTLY COMPRESSIBLE FLOWS IN POROUS MEDIA
- A Multiscale Mortar Mixed Finite Element Method
- A Posteriori Error Estimates for the Mortar Mixed Finite Element Method
