MIXED hp-DISCONTINUOUS GALERKIN FEM FOR LINEAR ELASTICITY AND STOKES FLOW IN THREE DIMENSIONS
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Publication:2905747
DOI10.1142/S0218202512500169zbMath1246.76061MaRDI QIDQ2905747
Publication date: 28 August 2012
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
anisotropic elementsa priori error analysisnearly incompressible materialslinear elasticity in polyhedrageometric edge meshesmixed \(hp\)-discontinuous Galerkin methodsStokes flow in polyhedra
Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)
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Cites Work
- Stability and a posteriori error analysis of discontinuous Galerkin methods for linearized elasticity
- Well-posedness and regularity for the elasticity equation with mixed boundary conditions on polyhedral domains and domains with cracks
- Discontinuous Galerkin methods on \(hp\)-anisotropic meshes. I: A priori error analysis
- A unifying theory of a posteriori error control for discontinuous Galerkin FEM
- Discontinuous Galerkin methods for incompressible and nearly incompressible elasticity by Nitsche's method
- Approximation properties of the \(h\)-\(p\) version of the finite element method
- An \(hp\)-analysis of the local discontinuous Galerkin method for diffusion problems
- An \(hp\)-adaptive mixed discontinuous Galerkin FEM for nearly incompressible linear elasticity
- Exponential convergence of mixed \(hp\)-DGFEM for Stokes flow in polygons
- Finite Element Methods for Navier-Stokes Equations
- Mixed and Hybrid Finite Element Methods
- Mixedhp-DGFEM for Incompressible Flows
- Locking-free DGFEM for elasticity problems in polygons
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Mixed hp-DGFEM for incompressible flows II: Geometric edge meshes
- Locking-free adaptive discontinuous Galerkin FEM for linear elasticity problems
