Boundary penalty techniques

DOI10.1016/0045-7825(82)90057-3zbMath0478.65066OpenAlexW2032984631MaRDI QIDQ1161261

M. Utku, Graham F. Carey

Publication date: 1982

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(82)90057-3

zbMATH Keywords

numerical experimentsfinite element methodsstiffness matrixlarge parameterpenalty techniques

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (18)

Numerical modelling of electromagnetic casting processes ⋮ Stokes equations with penalised slip boundary conditions ⋮ Finite element approximation of the pure Neumann problem using the iterative penalty method ⋮ Implicit finite element schemes for stationary compressible particle-laden gas flows ⋮ Finite element approximations of the Lamé system with penalized ideal contact boundary conditions ⋮ Hierarchically refined isogeometric analysis of trimmed shells ⋮ NOVEL COUPLING CONSTRAINT TECHNIQUE FOR EXPLICIT FINITE ELEMENT ANALYSIS ⋮ Multiscale and hysteresis effects in vortex pattern simulations for Ginzburg-Landau problems ⋮ Unnamed Item ⋮ Penalty-combined method and applications in solving elliptic problems with singularities ⋮ Enhanced functional evaluation for the finite element penalty method ⋮ Penalty: finite element approximation of Stokes equations with slip boundary conditions ⋮ Parameter extension for combined hybrid finite element methods and application to plate bending problems ⋮ Boundary penalty finite element methods for blending surfaces. II: Biharmonic equations ⋮ 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 ⋮ Methods for combination of finite element and singular integral equation methods

Cites Work

• The finite element method for elliptic equations with discontinuous coefficients
• Rayleigh‐Ritz‐Galerkin methods for dirichlet's problem using subspaces without boundary conditions
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