Finite element methods for parabolic equations
نویسندگان
چکیده
منابع مشابه
Finite Element Methods for Parabolic Equations
The initial-boundary value problem for a linear parabolic equation with the Dirichlet boundary condition is solved approximately by applying the finite element discretization in the space dimension and three types of finite-difference discretizations in time: the backward, the Crank-Nicolson and the Calahan discretization. New error bounds are derived.
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Three new Eulerian finite element methods for parabolic PDEs on a moving surface Γ(t) are presented and compared in numerical experiments. These are space-time Galerkin methods, which are derived from a weak formulation in space and time. The trialand test-spaces contain the traces on the space-time manifold of an outer prismatic finite element space. The numerical experiments show that two of ...
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Dynamic nite element schemes are analyzed for second order parabolic problems. These schemes can employ di erent nite element spaces at di erent time levels in order to capture time-changing localized phenomena, such as moving sharp fronts or layers. The dynamically changing grids and interpolation polynomials are necessary and essential to many large-scale transient problems. Standard, charact...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1974
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1974-0388813-9