Analysis of multiscale mortar mixed approximation of nonlinear elliptic equations

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

zbMATH Keywords

error estimatesNewton's methoddomain decompositionnonlinear elliptic problemmortar interfacemultiscale mixed finite element

Mathematics Subject Classification ID

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

• MMMFEM

Cites Work

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