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This is the LSQ-FEM https://t.co/Sgex3uXgUB that I read about long time ago. It's an interesting approach that all equations are cast in a system of first-order derivatives and then discretized.
The Least-Squares Finite Element Method
Overview of attention for book
Table of Contents
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Altmetric BadgeBook Overview
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Altmetric BadgeChapter 1 Introduction
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Altmetric BadgeChapter 2 First-Order Scalar Equation in One Dimension
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Altmetric BadgeChapter 3 First-Order System in One Dimension
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Altmetric BadgeChapter 4 Basis of LSFEM
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Altmetric BadgeChapter 5 Div—Curl System
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Altmetric BadgeChapter 6 Div—Curl—Grad System
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Altmetric BadgeChapter 7 Inviscid Irrotational Flows
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Altmetric BadgeChapter 8 Incompressible Viscous Flows
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Altmetric BadgeChapter 9 Convective Transport
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Altmetric BadgeChapter 10 Incompressible Inviscid Rotational Flows
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Altmetric BadgeChapter 11 Low-Speed Compressible Viscous Flows
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Altmetric BadgeChapter 12 Two-Fluid Flows
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Altmetric BadgeChapter 13 High-Speed Compressible Flows
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Altmetric BadgeChapter 14 Electromagnetics
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Altmetric BadgeChapter 15 The Element-by-Element Conjugate Gradient Method