Error estimates for semi-discrete dendritic growth
نویسندگان
چکیده
منابع مشابه
Error Estimates for Semi-discrete Gauge Methods for the Navier-stokes Equations : First-order Schemes
The gauge formulation of the Navier-Stokes equations for incompressible fluids is a new projection method. It splits the velocity u = a+∇φ in terms of auxiliary (non-physical) variables a and φ, and replaces the momentum equation by a heat-like equation for a and the incompressibility constraint by a diffusion equation for φ. This paper studies four time-discrete algorithms based on this splitt...
متن کاملError estimates for semi-discrete gauge methods for the Navier-Stokes equations
The gauge formulation of the Navier-Stokes equations for incompressible fluids is a new projection method. It splits the velocity u = a+∇φ in terms of auxiliary (nonphysical) variables a and φ and replaces the momentum equation by a heat-like equation for a and the incompressibility constraint by a diffusion equation for φ. This paper studies two time-discrete algorithms based on this splitting...
متن کاملInterior error estimates for semi-discrete Galerkin approximations for parabolic equations
The initial boundary value problemfor the heat équation in a domain Q and the corresponding standard Galerkin method is consideied A certain regularity of the initial data in some subdomain Q1 leads to the same regularity of the solution in Q± and for ail times It is shown that the error between the exact solution and the Galerkm approximation is also of (almost) optimal order m the intenor ofQ...
متن کاملPointwise a posteriori error estimates for monotone semi-linear equations
We derive upper and lower a posteriori estimates for the maximum norm error in finite element solutions of monotone semi-linear equations. The estimates hold for Lagrange elements of any fixed order, non-smooth nonlinearities, and take numerical integration into account. The proof hinges on constructing continuous barrier functions by correcting the discrete solution appropriately, and then app...
متن کاملError estimates for semi-Galerkin approximations of nonhomogeneous incompressible fluids
We consider the spectral semi-Galerkin method applied to the nonhomogeneous Navier-Stokes equations. Under certain conditions it is known that the approximate solutions constructed through this method converge to a global strong solution of these equations. Here, we derive an optimal uniform in time error estimate in the H norm for the velocity. We also derive an error estimate for the density ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Interfaces and Free Boundaries
سال: 1999
ISSN: 1463-9963
DOI: 10.4171/ifb/10