Existence and approximation results for nonlinear mixed problems: Application to incompressible finite elasticity
From MaRDI portal
Publication:1165699
DOI10.1007/BF01396438zbMath0487.76008OpenAlexW2151185461MaRDI QIDQ1165699
Publication date: 1982
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/132768
convergence resultsequilibrium problemsminimization of functionalincompressiblenon-linear equality constraintsnonlinear mixed problems
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Basic methods in fluid mechanics (76M99)
Related Items
Three-dimensional incompressible viscoelasticity in large strains: Formulation and numerical approximation, Convergence of a stabilized discontinuous Galerkin method for incompressible nonlinear elasticity, A generalized inf-sup test for multi-field mixed-variational methods, Lagrange multiplier and variational equations in mechanics, A class of asymmetric simplicial finite element methods for solving finite incompressible elasticity problems, Incremental methods in nonlinear, three-dimensional, incompressible elasticity, A stability study of some mixed finite elements for large deformation elasticity problems, Mixed Kirchhoff stress-displacement-pressure formulations for incompressible hyperelasticity, Primal-mixed formulations for reaction-diffusion systems on deforming domains, A paradigm for higher-order polygonal elements in finite elasticity using a gradient correction scheme, Integrated heart -- coupling multiscale and multiphysics models for the simulation of the cardiac function, Solvability and Galerkin approximations of a class of nonlinear operator equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Compatibility condition and existence results in discrete finite incompressible elasticity
- Finite element approximation of the Navier-Stokes equations
- Lectures on numerical methods for non-linear variational problems
- Ordinary differential equations of non-linear elasticity. I: Foundations of the theories of non-linearly elastic rods and shells
- Convexity conditions and existence theorems in nonlinear elasticity
- Bifurcation from simple eigenvalues
- General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods
- Existence et approximation de points selles pour certains problèmes non linéaires
- An analysis of the convergence of mixed finite element methods
- A New Approach to Lagrange Multipliers