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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In this paper, we present an efficient method of two-grid scheme for the approximation of two-dimensional nonlinear parabolic equations using an expanded mixed finite element method. We use two Newton iterations on the fine grid in our methods. Firstly, we solve an original nonlinear problem on the coarse nonlinear grid, then we use Newton iterations on the fine grid twice. The two-grid idea is...
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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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We approximate the solution of initial boundary value problems for nonlinear parabolic equations. In space we discretize by finite element methods. The discretization in time is based on linear multistep schemes. One part of the equation is discretized implicitly and the other explicitly. The resulting schemes are stable, consistent and very efficient, since their implementation requires at eac...
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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: RAIRO. Analyse numérique
سال: 1977
ISSN: 0399-0516
DOI: 10.1051/m2an/1977110100931