A mixed finite-element finite-difference method to solve the equilibrium equations of a prestressed membrane having boundary cables

DOI10.1080/00207160.2016.1154950zbMath1371.35070OpenAlexW2328764548MaRDI QIDQ4976296

Giuseppe Viglialoro, Álvaro Mateos González, Juan Murcia

Publication date: 28 July 2017

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2016.1154950

zbMATH Keywords

finite element methodsfinite difference methodsequilibrium equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15) Finite difference methods applied to problems in solid mechanics (74S20)

Related Items (4)

An attractive numerical algorithm for solving nonlinear Caputo-Fabrizio fractional Abel differential equation in a Hilbert space ⋮ Analysis and explicit solvability of degenerate tensorial problems ⋮ Existence and uniqueness for a two-dimensional Ventcel problem modeling the equilibrium of a prestressed membrane. ⋮ Study on soliton solutions of the longitudinal wave equation and magneto-electro-elastic circular rod dynamical model

Cites Work

• Unnamed Item
• A thrust network approach to the equilibrium problem of unreinforced masonry vaults via polyhedral stress functions
• Discontinuous Galerkin methods for elliptic partial differential equations with random coefficients
• A Free Boundary Approach to Solve the Equilibrium Equations of a Membrane
• L^∞-error estimates of higher order mixed finite element approximations for elliptic optimal control problems
• A singular elliptic problem related to the membrane equilibrium equations

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