Titlebook: Galerkin Finite Element Methods for Parabolic Problems; Vidar Thomée Book 19971st edition Springer-Verlag Berlin Heidelberg 1997 Approxima

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A Nonlinear Problem,In this chapter we shall consider the application of our previous methods of analysis to a nonlinear model problem. For simplicity and concreteness, we restrict our attention to the situation in the beginning of Chapter 1, with a convex plane domain and with piecewise linear approximating functions.

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https://doi.org/10.1007/978-3-662-03359-3Approximation; Differential Equations; Finite Element Theory; Galerkin Methods; Parabolic Partial; algebr

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Galerkin Finite Element Methods for Parabolic Problems978-3-662-03359-3Series ISSN 0179-3632 Series E-ISSN 2198-3712

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https://doi.org/10.1007/978-3-658-31040-0c equations, in which we allow the elliptic operator to have coeffiicients depending on both . and ., to contain lower order terms, and to be nonselfadjoint and nonpositive. In order not to have to account for possible exponential growth of stability constants and error bounds we restrict our consid