\( \mathcal{C}^0\) interior penalty methods for a dynamic nonlinear beam model
DOI10.1016/j.amc.2018.07.043zbMath1428.74111OpenAlexW2888010889MaRDI QIDQ2007581
Jeongho Ahn, Seulip Lee, Eun-Jae Park
Publication date: 22 November 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2018.07.043
finite element methodspseudomonotonediscontinuous Galerkin\( \mathcal{C}^0\) interior penalty methodGao beams
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) PDEs in connection with mechanics of deformable solids (35Q74) Higher-order nonlinear hyperbolic equations (35L75) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mathematical and numerical approaches to a one-dimensional dynamic thermoviscoelastic contact problem
- Mixed finite element solutions to contact problems of nonlinear Gao beam on elastic foundation
- \(C^0\) interior penalty methods for fourth order elliptic boundary value problems on polygonal domains
- A finite element method with discontinuous rotations for the Mindlin-Reissner plate model
- A \(C^0\) discontinuous Galerkin formulation for Kirchhoff plates
- Compact sets in the space \(L^ p(0,T;B)\)
- Frictional contact problems with normal compliance
- Finite deformation beam models and triality theory in dynamical post-buckling analysis
- Control variational method approach to bending and contact problems for Gao beam.
- Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity
- Nonlinear elastic beam theory with application in contact problems and variational approaches
- Partial differential equations. 1: Basic theory
- Analysis and simulations of a nonlinear elastic dynamic beam
- Duality principles in nonconvex systems. Theory, methods and applications
- \(C^0\)-discontinuous Galerkin methods for a wind-driven ocean circulation model: two-grid algorithm
- A \(C^0\)-discontinuous Galerkin method for the stationary quasi-geostrophic equations of the ocean
- C 0 Interior Penalty Methods
- Analysis and Simulations of a Contact Problem for a Nonlinear Dynamic Beam with a Crack
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- Time-dependent implicit evolution equations
- The Optimal Convergence Rate of the p-Version of the Finite Element Method
- Mixed Finite Element Methods for Nonlinear Second-Order Elliptic Problems
- Dynamic frictionless contact of a nonlinear beam with two stops
This page was built for publication: \( \mathcal{C}^0\) interior penalty methods for a dynamic nonlinear beam model
