26 research outputs found
Stability and error analysis for a diffuse interface approach to an advection-diffusion equation on a moving surface
Get PDFIn this paper we analyze a fully discrete numerical scheme for solving a parabolic PDE on a moving surface. The method is based on a diffuse interface approach that involves a level set description of the moving surface. Under suitable conditions on the spatial grid size, the time step and the interface width we obtain stability and error bounds with respect to natural norms. Furthermore, we present test calculations that confirm our analysis
A parallel implementation of the modified augmented Lagrangian preconditioner for the incompressible Navier–Stokes equations
Full text linkEigenvalue bounds of the shift-splitting preconditioned singular nonsymmetric saddle-point matrices
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Ambient residual penalty approximation of partial differential equations on embedded submanifolds
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Residual a Posteriori Error Estimate of a New Two-Level Method for Steady Navier-Stokes Equations
No full textFinite element approximation of the Laplace–Beltrami operator on a surface with boundary
No full textAnalysis of the grad-div stabilization for the time-dependent Navier–Stokes equations with inf-sup stable finite elements
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