Boundary penalty finite element methods for blending surfaces. II: Biharmonic equations

DOI10.1016/S0377-0427(99)00208-3zbMath0942.65134OpenAlexW2058511943MaRDI QIDQ1807773

Yanyan Li

Publication date: 21 August 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00208-3

zbMATH Keywords

stabilitynumerical testserror analysisbiharmonic equationblending surfaceboundary penalty finite element method

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Error bounds for boundary value problems involving PDEs (65N15) 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)

Related Items (9)

Global superconvergence of finite element methods for biharmonic equations and blending surfaces ⋮ Stability analysis and superconvergence for the penalty Trefftz method coupled with FEM for singularity problems ⋮ A penalty method for a mixed nonlinear complementarity problem ⋮ Effective condition number of the Hermite finite element methods for biharmonic equations ⋮ Enhanced functional evaluation for the finite element penalty method ⋮ SURFACE BLENDING USING A POWER SERIES SOLUTION TO FOURTH ORDER PARTIAL DIFFERENTIAL EQUATIONS ⋮ Global superconvergence for blending surfaces by boundary penalty plus hybrid FEMs ⋮ Boundary penalty finite element methods for blending surfaces. III: Superconvergence and stability and examples ⋮ Modified nonlocal boundary value problem method for an ill-posed problem for the biharmonic equation

Cites Work

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• Boundary penalty techniques
• Boundary penalty finite element methods for blending surfaces. III: Superconvergence and stability and examples
• Finite element approximation of the Dirichlet problem using the boundary penalty method
• Penalty resolution of the Babushka circle paradox
• On the convergence rate of the boundary penalty method
• Penalty-combined approaches to the Ritz-Galerkin and finite element methods for singularity problems of elliptic equations
• The Finite Element Method with Penalty

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