Analysis of a penalty method

DOI10.1007/s10915-011-9553-8zbMath1254.65105OpenAlexW2050045664MaRDI QIDQ1929942

Roger M. Temam, Qingshan Chen, Youngjoon Hong

Publication date: 10 January 2013

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-011-9553-8

zbMATH Keywords

boundary conditionstransport equationspenalty methodGalerkin finite element methods

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (1)

Penalization of Robin boundary conditions

Cites Work

• The barotropic mode for the primitive equations
• The one dimensional shallow water equations with Dirichlet boundary conditions on the velocity
• Spectral penalty methods
• The 3D primitive equations in the absence of viscosity: boundary conditions and well-posedness in the linearized case
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Numerical approximation of the inviscid 3D primitive equations in a limited domain
• Treatment of incompatible initial and boundary data for parabolic equations in higher dimension
• Local boundary conditions for dissipative symmetric linear differential operators
• A New Method of Imposing Boundary Conditions in Pseudospectral Approximations of Hyperbolic Equations
• Convergence Results for Pseudospectral Approximations of Hyperbolic Systems by a Penalty-Type Boundary Treatment
• Theoretical and Practical Aspects of Some Initial Boundary Value Problems in Fluid Dynamics
• Numerical Resolution Near t = 0 of Nonlinear Evolution Equations in the Presence of Corner Singularities in Space Dimension 1
• Une méthode d'approximation de la solution des équations de Navier-Stokes
• Variational methods for the solution of problems of equilibrium and vibrations
• Spectral methods for hyperbolic problems

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