Least-squares finite element methods (LSFEMs) for partial differential equations (PDEs) and related ideas have arisen in many other contexts. In this chapter, we examine several additional examples of methods that use least-squares notions. Some sections deal with additional least-squares finite element methods, some of which do not readily fit into the framework of Chapter 3. Others deal with additional applications of least-squares finite element methods. The last two sections discuss least-squares methods based on other approximation paradigms. All of these topics deserve mention; however, to keep the book from becoming prohibitively long, the discussion of these additional topics is brief. Our goal here is to acquaint the reader with the wide scope of the least-squares finite element universe; details about the topics discussed may be found in the cited references.
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© 2009 Springer-Verlag New York
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Bochev, P.B., Gunzburger, M.D. (2009). Variations on Least-Squares Finite Element Methods. In: Least-Squares Finite Element Methods. Applied Mathematical Sciences, vol 166. Springer, New York, NY. https://doi.org/10.1007/b13382_12
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DOI: https://doi.org/10.1007/b13382_12
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