Boundary penalty finite element methods for blending surfaces. III: Superconvergence and stability and examples

DOI10.1016/S0377-0427(99)00231-9zbMath0957.65008WikidataQ127442585 ScholiaQ127442585MaRDI QIDQ1807808

Yanyan Li

Publication date: 29 March 2001

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

zbMATH Keywords

stabilityfinite element methodbiharmonic equationsuperconvergencevariational equationplateparametric surfacemathematical modellingblending surfaceboundary penalty methodcomputer geometric design

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) 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) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (5)

Global superconvergence of finite element methods for biharmonic equations and blending surfaces ⋮ Effective condition number of the Hermite finite element methods for biharmonic equations ⋮ 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. II: Biharmonic equations

Cites Work

• Generating blend surfaces using partial differential equations
• Boundary penalty techniques
• Generalization of the potential method for blending three surfaces
• Boundary penalty finite element methods for blending surfaces. II: Biharmonic equations
• Using partial differential equations to generate free-form surfaces
• Finite element approximation of the Dirichlet problem using the boundary penalty method
• Automatic surface generation in computer aided design
• Penalty resolution of the Babushka circle paradox
• On the convergence rate of the boundary penalty method
• On Nonconforming Combinations of Various Finite Element Methods for Solving Elliptic Boundary Value Problems
• Penalty-combined approaches to the Ritz-Galerkin and finite element methods for singularity problems of elliptic equations
• Blending algebraic surfaces
• Algebraic surface design with Hermite interpolation
• The Finite Element Method with Penalty
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