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Titlebook: Galerkin Finite Element Methods for Parabolic Problems; Vidar Thomée Book 2006Latest edition Springer-Verlag GmbH Germany 2006 Approximati

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The , and , Methods,ulate the discrete problem. For simplicity we shall content ourselves with describing the situation in the case of a simple selfadjoint parabolic equation in one space dimension, and only study spatially semidiscrete methods.
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A Mixed Method,is formulation the gradient of the solution is introduced as a separate dependent variable, the approximation of which is sought in a different finite element space than the solution itself. One advantage of this procedure is that the gradient of the solution may be approximated to the same order of
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https://doi.org/10.1007/3-540-33122-0Approximation; Galerkin methods; differential equations; finite element method; finite element theory; ma
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978-3-642-06967-3Springer-Verlag GmbH Germany 2006
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https://doi.org/10.1007/978-3-319-58969-5In this introductory chapter we shall study the standard Galerkin finite element method for the approximate solution of the model initial-boundary value problem for the heat equation
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Theatre at the End of the WorldIn this chapter we shall study the numerical solution of a singular parabolic equation in one space dimension which arises after reduction by polar coordinates of a radially symmetric parabolic equation in three space dimensions. We shall analyze and compare finite element discretizations based on two different variational formulations.
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